Math Homework Answers - Recent questions and answers in Algebra 2 Answers
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Powered by Question2AnswerAnswered: find all real solutions of the equation. 1/x^3+ 8/x^2 + 16/x=0
https://www.mathhomeworkanswers.org/34671/find-all-real-solutions-of-the-equation-1-x-3-8-x-2-16-x-0?show=257047#a257047
<ol>
<li style="text-align:justify">√(126-10x)=2x, 126-10x=4x², 4x²+10x-126=0, 2x²+5x-63=0=(2x-9)(x+7), x=9/2 or -7. Substitute back in original: √(126-45)=√81=9 is satisfied; √(126+70)=√196=14 is not satisfied, because 2x=-14. So the solution is x=9/2.</li>
<li style="text-align:justify">x⁵-81x=x(x⁴-81)=x(x²-9)(x²+9)=x(x-3)(x+3)(x²+9)=0; solution is x=0, 3, -3.</li>
<li style="text-align:justify">2x²+9x+1=0; x²+9x/2+1/2=0; (x²+9x/2+81/16)-81/16+1/2=0; (x+9/4)²-(81-8)/16=0; ((x+9/4)+√73/4)((x+9/4)-√73/4)=0; solution is x=-9/4-√73/4=-4.386, -9/4+√73/4=-0.114 (approx).</li>
<li style="text-align:justify">35x²+12x-36=0=(7x-6)(5x+6), so x=6/7, -6/5.</li>
<li style="text-align:justify">Discriminant=8²-4×1=64-4=60. √60 is used to find the solutions.</li>
<li style="text-align:justify">If w=width, length=w+2; w(w+2)=783, w²+2w=783, w²+2w-783=0=(x+29)(x-27), width=27ft so length=29ft.</li>
</ol>Algebra 2 Answershttps://www.mathhomeworkanswers.org/34671/find-all-real-solutions-of-the-equation-1-x-3-8-x-2-16-x-0?show=257047#a257047Wed, 16 Jan 2019 19:00:09 +0000Answered: Ben wants to buy a DVD player that is on sale for 20% off the original price of $169. The sales tax is 6.25%. Find the composition function that represents the price of the DVD Player.
https://www.mathhomeworkanswers.org/247490/player-original-composition-function-represents-price-player?show=257044#a257044
<p style="text-align:justify">Let g(x)=x-x(20/100)=x-x/5=4x/5, where x is the presale price of a sales item and g(x) is the 20% reduced price. All prices are in dollars.</p>
<p style="text-align:justify">Let f(x)=x+x(6.25/100)=x+x/16=17x/16, where x is the price of goods and f(x) is price after 6.25% sales tax.</p>
<p style="text-align:justify">The price of the DVD player is (f⚬g)(x) or f(g(x)) for x=169, so we want f(g(169))=f(4×169/5)=f(135.20)=17×135.20/16=$143.65.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/247490/player-original-composition-function-represents-price-player?show=257044#a257044Wed, 16 Jan 2019 15:52:04 +0000Answered: (2^2+)*(24/3-99^0)=
https://www.mathhomeworkanswers.org/257000/2-2-24-3-99-0?show=257004#a257004
<p style="text-align:justify">Because an operand is missing only the contents of the second parentheses can be evaluated:</p>
<p style="text-align:justify">(24/3-99⁰)=8-1=7; (24/(3-99⁰))=24/(3-1)=24/2=12. Is it 7 or 12? It depends how it’s interpreted. The way it’s written, the result would be 7, because PEMDAS would apply.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/257000/2-2-24-3-99-0?show=257004#a257004Tue, 15 Jan 2019 23:35:18 +0000Answered: Solve = w 3 − 29 where w is a real number. Simplify your answer as much as possible. (If there is more than one solution, separate them with commas.)
https://www.mathhomeworkanswers.org/256971/number-simplify-answer-possible-solution-separate-commas?show=256979#a256979
<p style="text-align:justify">w³-29=(w-∛29)(w²+w∛29+(∛29)²) based on w³-a³=(w-a)(w²+aw+a²) where a=∛29. (∛29)² can be written 29^⅔.</p>
<p style="text-align:justify">Further factorisation is possible but this involves complex numbers:</p>
<p style="text-align:justify">w²+aw+a²/4-a²/4+a²=(w+½a)²+3a²/4=(w+½a+½ai√3)(w+½a-½ai√3).</p>
<p style="text-align:justify">w³-29=(w-∛29)(w+½∛29+½i∛29√3)(w+½∛29-½i∛29√3).</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256971/number-simplify-answer-possible-solution-separate-commas?show=256979#a256979Tue, 15 Jan 2019 09:50:24 +0000Answered: What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?Answer
https://www.mathhomeworkanswers.org/92335/what-the-equation-the-ellipse-with-foci-and-vertices-answer?show=256917#a256917
<p style="text-align:justify">The foci lie on the major axis, so in this case the y-axis is the major axis, which has length 16. The formula f²=a²-b², where a=8 is the length of the semi-major axis and ±a is the y-coord of the vertices, allows us to find b, the length of the semi-minor axis (x-axis). We know f=4 so we can find b²=8²-4²=48. So the equation of the ellipse is y²/64+x²/48=1.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=11902476686009607865" style="height:431px; width:400px"></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/92335/what-the-equation-the-ellipse-with-foci-and-vertices-answer?show=256917#a256917Sat, 12 Jan 2019 14:52:35 +0000Answered: Can you solve for x and y 40x+60y=848
https://www.mathhomeworkanswers.org/76173/can-you-solve-for-x-and-y-40x-60y-848?show=256871#a256871
40x+60y=848, y=(848-40x)60, x=(848-60y)/40Algebra 2 Answershttps://www.mathhomeworkanswers.org/76173/can-you-solve-for-x-and-y-40x-60y-848?show=256871#a256871Fri, 11 Jan 2019 02:42:29 +0000Answered: y-2^(x^2 + 2x) = 0, y= 4^(x+8)
https://www.mathhomeworkanswers.org/73967/y-2-x-2-2x-0-y-4-x-8?show=256777#a256777
<p style="text-align: justify;">Since 4=2², 4^(x+8)=2^(2x+16), so 2^(2x+16)-2^(x²+2x)=0, and 2x+16=x²+2x, so x²=16 and x=4 or -4.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/73967/y-2-x-2-2x-0-y-4-x-8?show=256777#a256777Mon, 07 Jan 2019 12:14:02 +0000Answered: simplify the fraction -2x^3y^8/ -24x^-9y^7 with only positive exponents
https://www.mathhomeworkanswers.org/61517/simplify-the-fraction-2x-3y-24x-with-only-positive-exponents?show=256569#a256569
<p style="text-align:justify">-2 divides into -24 12 times:</p>
<p style="text-align:justify">x³y⁸/(12x⁻⁹y⁷)=x³⁺⁹y⁸⁻⁷/12=x¹²y/12.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/61517/simplify-the-fraction-2x-3y-24x-with-only-positive-exponents?show=256569#a256569Mon, 24 Dec 2018 11:33:50 +0000Answered: how to solve (y 6)(3y 7)/(9y 2)(3y 7)
https://www.mathhomeworkanswers.org/75440/how-to-solve-y-6-3y-7-9y-2-3y-7?show=256567#a256567
<p style="text-align:justify">(y⁶)(3y⁷)/((9y²)(3y⁷))=y⁶/(9y²)=y⁴/9.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/75440/how-to-solve-y-6-3y-7-9y-2-3y-7?show=256567#a256567Mon, 24 Dec 2018 11:28:11 +0000Answered: -4,-3,4 polynomial function with given zero
https://www.mathhomeworkanswers.org/256491/4-3-4-polynomial-function-with-given-zero?show=256492#a256492
<p style="text-align: justify;">The lowest order polynomial with these zeroes would be </p>
<p style="text-align: justify;">a(x+4)(x+3)(x-4) where a is a constant.</p>
<p style="text-align: justify;">(x+4)(x-4)=x²-16, so the polynomial is a(x²-16)(x+3)=a(x³+3x²-16x-48).</p>
<p style="text-align: justify;">If a=1, the polynomial is x³+3x²-16x-48.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256491/4-3-4-polynomial-function-with-given-zero?show=256492#a256492Tue, 18 Dec 2018 16:59:22 +0000Answered: (x+9) (x-7)
https://www.mathhomeworkanswers.org/256443/x-9-x-7?show=256445#a256445
<p style="text-align: justify;">x(x-7)+9(x-7)</p>
<p style="text-align: justify;">x²-7x+9x-63</p>
<p style="text-align: justify;">x²+2x-63</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256443/x-9-x-7?show=256445#a256445Sat, 15 Dec 2018 13:39:55 +0000Answered: x+2y−z=3 −2x−y+z=−1 6x−3y−z=−7
https://www.mathhomeworkanswers.org/256404/x-2y%E2%88%92z-3-%E2%88%922x%E2%88%92y-z-%E2%88%921-6x%E2%88%923y%E2%88%92z-%E2%88%927?show=256417#a256417
<p style="text-align:justify">Add first two equations:</p>
<p style="text-align:justify">-x+y=2 so y=x+2.</p>
<p style="text-align:justify">Substitute for y:</p>
<p style="text-align:justify">x+2(x+2)-z=3, 3x+4-z=3, 3x-z=-1; -2x-(x+2)+z=-1, -3x-2+z=-1, -3x+z=1, or 3x-z=-1; 6x-3(x+2)-z=-7, 3x-6-z=-7, 3x-z=-1, or z=3x+1.</p>
<p style="text-align:justify">So there is no unique solution, that is, there are many solutions.</p>
<p style="text-align:justify">We can find y and z given x. For example, x=0 gives us y=2 and z=1.</p>
<p style="text-align:justify">Other examples: x=1 gives y=3 and z=4; x=-1 gives y=1 and z=-2.</p>
<p style="text-align:justify">There are an infinite number of solutions. Any x will give solutions for y and z: y=x+2, z=3x+1, which can be written (x,x+2,3x+1).</p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256404/x-2y%E2%88%92z-3-%E2%88%922x%E2%88%92y-z-%E2%88%921-6x%E2%88%923y%E2%88%92z-%E2%88%927?show=256417#a256417Fri, 14 Dec 2018 09:29:41 +0000Answered: 10 times 2
https://www.mathhomeworkanswers.org/256383/10-times-2?show=256394#a256394
<p style="text-align:justify">When you multiply a number by 10, you just add a zero on to the end of the number, so 2 becomes 20. This is the same as moving the decimal point one place to the right. So 2.0 (same as 2) becomes 20.0, same as 20.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256383/10-times-2?show=256394#a256394Thu, 13 Dec 2018 08:55:36 +0000Answered: Bows cost as much per inch as ribbon. Find 1/100 the chefs total cost for 10 inches of bows.Explain the number of zeros and the placement of the decimal in your answer using a place value chart
https://www.mathhomeworkanswers.org/256384/ribbon-inches-explain-number-placement-decimal-answer-chart?show=256392#a256392
<p style="text-align:justify">We don’t know how much ribbons cost but we can work out where the decimal point goes.</p>
<p style="text-align:justify">We add a zero to the end of the cost of ribbons, that gives us the cost of 10 inches. The decimal point moves one place to the right.</p>
<p style="text-align:justify">We need 1/100 of this, so the decimal point moves two places to the left because 100 has two zeroes.</p>
<p style="text-align:justify">One place to the right plus 2 places to the left gives us one place to the left. Therefore, since the cost of bows and ribbons is the same, the final result is that the decimal point is moved one place to the left of the cost of an inch of ribbon. For example, if the cost of ribbons is 12 cents per inch, which is the same as 12.0 cents, so the final answer is 1.20 cents. Your chart would be like a number line 1-2=-1, where positive is to the right and negative is to the left, so one place to the left.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=2281459618326537926" style="height:158px; width:400px"></p>
<p style="text-align:justify">In this chart I have used XX as the cost of ribbons (and bows) per inch. You can use actual numbers in place of XX to see what happens. When XX moves to the left, the decimal point appears to move to the right, and when XX moves to the right, the decimal point appears to move to the left. Any gaps to the immediate left or right of the decimal point are filled with a zero to show that there is no value in that place. Replace XX with 12 (for example) to see what happens. Then replace XX with 08 (another example where cost is 8c or $0.08) and see what happens.</p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256384/ribbon-inches-explain-number-placement-decimal-answer-chart?show=256392#a256392Thu, 13 Dec 2018 08:41:15 +0000Answered: solve the expression:[(3.2)^2-(-4)^3] [(75/15) -(-10 + 15)] + (-19/3)
https://www.mathhomeworkanswers.org/22024/solve-the-expression-3-2-2-4-3-75-15-10-15-19-3?show=256346#a256346
<p style="text-align: justify;">The square brackets are just to make it easier to read, so that you can match open and closed brackets (parentheses). (75/15)=5 and (-10+15)=5, and 5-5=0. Any product with zero as one of the multipliers is zero. So we don’t need to work out the contents of the first pair of square brackets. In this problem [ ... ][ ... ] means: find the product of the contents of the first pair of brackets and the contents of the second pair (which came to zero). So we’re left with 0-(19/3)=-19/3.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/22024/solve-the-expression-3-2-2-4-3-75-15-10-15-19-3?show=256346#a256346Tue, 11 Dec 2018 16:46:59 +0000Answered: Third degree, with zeros of -3,-1 and 2 and passes through the point (3,11)
https://www.mathhomeworkanswers.org/256245/third-degree-with-zeros-of-and-and-passes-through-the-point-11?show=256248#a256248
<p style="text-align: justify;">y=a(x+3)(x+1)(x-2)=a(x+3)(x²-x-2)=a(x³-x²-2x+3x²-3x-6),</p>
<p style="text-align: justify;">y=a(x³+2x²-5x-6).</p>
<p style="text-align: justify;">When y=11, x=3, so 11=a(27+18-15-6)=24a. So a=11/24 and y=(11/24)(x³+2x²-5x-6).</p>
<p style="text-align: justify;">This can be written: y=11x³/24+11x²/12-55x/24-11/4.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256245/third-degree-with-zeros-of-and-and-passes-through-the-point-11?show=256248#a256248Fri, 07 Dec 2018 00:13:04 +0000Answered: Multiply the radical expressions. (√11 +k)2
https://www.mathhomeworkanswers.org/256130/multiply-the-radical-expressions-%E2%88%9A11-k-2?show=256161#a256161
<p style="text-align: justify;">Answer D.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256130/multiply-the-radical-expressions-%E2%88%9A11-k-2?show=256161#a256161Mon, 03 Dec 2018 12:05:52 +0000Answered: Solve the equation, √8t+7=-2
https://www.mathhomeworkanswers.org/256128/solve-the-equation-%E2%88%9A8t-7-2?show=256149#a256149
<p style="text-align: justify;">-√(8t+7)=-2, 8t+7=4 (squaring), 8t=-3, t=-3/8, answer B.</p>
<p style="text-align: justify;"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256128/solve-the-equation-%E2%88%9A8t-7-2?show=256149#a256149Mon, 03 Dec 2018 08:15:06 +0000Answered: Multiply (1/3√x-3/2√y)2
https://www.mathhomeworkanswers.org/256132/multiply-1-3%E2%88%9Ax-3-2%E2%88%9Ay-2?show=256147#a256147
<p style="text-align: justify;">(⅓√x-(3/2)√y)²=(1/9)x-(2)(1/3)(3/2)√(xy)+(9/4)y=x/9-√(xy)+9y/4. I guess it should have been answer D, but a term was missing.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256132/multiply-1-3%E2%88%9Ax-3-2%E2%88%9Ay-2?show=256147#a256147Mon, 03 Dec 2018 08:09:57 +0000Answered: Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only.
https://www.mathhomeworkanswers.org/256134/expression-properties-rational-exponents-positive-exponents?show=256144#a256144
<p style="text-align:justify">None of the options. Check your question.</p>
<p style="text-align:justify">Did you mean (h^(7/3))(h^(14/3)), this is h^(7/3+14/3)=h^(21/3)=h⁷. None of the given answers.</p>
<p style="text-align:justify">As it stands the answer is (h^(7/3))(1-h^(7/3)), none of the given answers.</p>
<p style="text-align:justify">Or, perhaps, h⁷/3-h¹⁴/3=(h⁷/3)(1-h⁷), none of the given answers.</p>
<p style="text-align:justify">If you mean (h^(7/3))÷(h^(14/3)), this is h^(7/3-14/3)=h^(-7/3)=1/(h^(7/3), none of the given answers.</p>
<p style="text-align:justify">If you mean ((h⁷)/3)((h¹⁴)/3), this is (h²¹)/9, none of the given answers.</p>
<p style="text-align:justify">If you mean ((h⁷)³)(h¹⁴/3), this is h²¹(h¹⁴/3)=h³⁵/3, close to answer D.</p>
<p style="text-align:justify">So what did you mean?</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256134/expression-properties-rational-exponents-positive-exponents?show=256144#a256144Mon, 03 Dec 2018 07:56:12 +0000Answered: solve for x,y,z. 3x-4y+2z -5x+3y+6z -6x+2y-8z
https://www.mathhomeworkanswers.org/256107/solve-for-x-y-z-3x-4y-2z-5x-3y-6z-6x-2y-8z?show=256116#a256116
<p style="text-align:justify">No equations have been provided so no solutions, or an infinite number of solutions (x, y and z can be any value) can be given.</p>
<p style="text-align:justify">The best that can be done is to add the expressions: -8x+y.</p>
<p style="text-align:justify"> </p>
<p style="text-align:justify">If each expression is equal to the other two, then the unique solution is x=y=z=0.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256107/solve-for-x-y-z-3x-4y-2z-5x-3y-6z-6x-2y-8z?show=256116#a256116Sat, 01 Dec 2018 08:26:46 +0000Answered: 11x^3-65x^2-83x-7;(x+1)
https://www.mathhomeworkanswers.org/256096/11x-3-65x-2-83x-7-x-1?show=256097#a256097
<p style="text-align: justify;">x+1 is a factor of the cubic. When we divide by it using algebraic or synthetic division we get 11x²-76x-7 as the other factor. This factorises into (11x+1)(x-7). So complete factorisation is (x+1)(x-7)(11x+1).</p>
<p style="text-align: justify;">The zeroes, if needed, are -1, 7 and -1/11.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256096/11x-3-65x-2-83x-7-x-1?show=256097#a256097Fri, 30 Nov 2018 14:45:48 +0000Answered: Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only.
https://www.mathhomeworkanswers.org/256053/expression-properties-rational-exponents-positive-exponents?show=256068#a256068
<p style="text-align:justify">If you mean (h^(7/3))(h^(14/3)), this is h^(7/3+14/3)=h^(21/3)=h⁷. None of the given answers.</p>
<p style="text-align:justify">If you mean ((h⁷)/3)((h¹⁴)/3), this is (h²¹)/9, none of the given answers.</p>
<p style="text-align:justify">If you mean ((h⁷)³)(h¹⁴/3), this is h²¹(h¹⁴/3)=h³⁵/3, answer A.</p>
<p style="text-align:justify">So what did you mean?</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256053/expression-properties-rational-exponents-positive-exponents?show=256068#a256068Thu, 29 Nov 2018 11:22:07 +0000Answered: how do you simplify 4th root of 2592x^7y^5?
https://www.mathhomeworkanswers.org/256052/how-do-you-simplify-4th-root-of-2592x-7y-5?show=256067#a256067
<p style="text-align: justify;">2592=2×1296=2×36²=2×6⁴, so ⁴√2×6⁴=6(⁴√2).</p>
<p style="text-align: justify;">x⁷=x⁸/x, so (⁴√x⁸/x)=x²(⁴√(1/x)).</p>
<p style="text-align: justify;">And y⁵=y(y⁴) so the fourth root is y(⁴√y).</p>
<p style="text-align: justify;">Now we combine these: 6x²y(⁴√(2y/x)). </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256052/how-do-you-simplify-4th-root-of-2592x-7y-5?show=256067#a256067Thu, 29 Nov 2018 11:07:59 +0000Answered: Solve the radical equation √3x-1+1=√3x+6
https://www.mathhomeworkanswers.org/256029/solve-the-radical-equation-%E2%88%9A3x-1-1-%E2%88%9A3x-6?show=256057#a256057
<p style="text-align: justify;"> 3x-1+2√(3x-1)+1=3x+6, 2√(3x-1)=6, √(3x-1)=3, 3x-1=9, x=10/3. (Squaring to get rid of the radical.)</p>
<p style="text-align: justify;">Test: put x=10/3 in the original:</p>
<p style="text-align: justify;">√9 + 1=3 + 1=4, and √10+6=√16=4. So x=10/3 is the answer. Answer B should be {10/3}.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256029/solve-the-radical-equation-%E2%88%9A3x-1-1-%E2%88%9A3x-6?show=256057#a256057Thu, 29 Nov 2018 08:04:55 +0000Answered: Solve the equation. m(x)=x-2/x+3
https://www.mathhomeworkanswers.org/256030/solve-the-equation-m-x-x-2-x-3?show=256041#a256041
<p style="text-align:justify">In this equation m appears to be a function of x, so we need to know x before we can find m.</p>
<p style="text-align:justify">The only other way to interpret this is to find x for each value of m listed as A, B, C, D. I don’t think that’s what you want.</p>
<p style="text-align:justify">For example, if m=6, then (x-2)/(x+3)=6 can be solved for x:</p>
<p style="text-align:justify">x-2=6(x+3)=6x+18, -20=5x, so x=-4 is the solution for A.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256030/solve-the-equation-m-x-x-2-x-3?show=256041#a256041Wed, 28 Nov 2018 10:12:24 +0000Answered: Which of these exoressions is in the simplified form
https://www.mathhomeworkanswers.org/256027/which-of-these-exoressions-is-in-the-simplified-form?show=256039#a256039
<p style="text-align:justify">My guess is B, (√125x-x²), because:</p>
<p style="text-align:justify">A results in a square root in the denominator;</p>
<p style="text-align:justify">C has a square root in the denominator;</p>
<p style="text-align:justify">In D, the square root of 4 can be simplified to 2;</p>
<p style="text-align:justify">B contains no division by a square root, although √125 can be written 5√5.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256027/which-of-these-exoressions-is-in-the-simplified-form?show=256039#a256039Wed, 28 Nov 2018 09:56:33 +0000Answered: Multiply the radical expressions. (√7x-3+4)2
https://www.mathhomeworkanswers.org/256031/multiply-the-radical-expressions-%E2%88%9A7x-3-4-2?show=256038#a256038
<p style="text-align: justify;">(√(7x-3)+4)²=7x-3+8√(7x-3)+16=7x+8√(7x-3)+13, answer D.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256031/multiply-the-radical-expressions-%E2%88%9A7x-3-4-2?show=256038#a256038Wed, 28 Nov 2018 09:27:50 +0000Answered: What is the inverse function of [(0,0),(1,1),(2,4),(3,9)
https://www.mathhomeworkanswers.org/255928/what-is-the-inverse-function-of-0-0-1-1-2-4-3-9?show=255940#a255940
<p style="text-align:justify">The coords given could fit f(x)=x² which has the inverse f⁻¹(x)=√x. But, strictly speaking, we only have 4 ordered pairs, so the inverse would be {(0,0),(1,1),(4,2),(9,3)}.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255928/what-is-the-inverse-function-of-0-0-1-1-2-4-3-9?show=255940#a255940Wed, 21 Nov 2018 13:59:25 +0000Answered: Find an equation of the line. Write the equation using function notation. Through (8,-3) perpendicular to 2y=x-4
https://www.mathhomeworkanswers.org/255911/equation-equation-function-notation-through-perpendicular?show=255916#a255916
<p style="text-align: justify;">2y=x-4, divide through by 2: y=x/2-2 so the slope is the x coefficient, ½. The slope of the perpendicular is -(1/½)=-2, so the equation of the perpendicular line has the form f(x)=-2x+a where a is a constant.
<br>
<br>
To find a plug in the point (8,-3): -3=-16+a, so a=13 and f(x)=-2x+13.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255911/equation-equation-function-notation-through-perpendicular?show=255916#a255916Tue, 20 Nov 2018 08:01:46 +0000Answered: What is a positive Continental angle to a 47 degrees that is between 500 Degrees and 1000 degrees and negative continental and go to 47 degrees that is between -500 degrees and 0
https://www.mathhomeworkanswers.org/255811/positive-continental-degrees-negative-continental-degrees?show=255812#a255812
<p style="text-align:justify">I’m not aware of any mathematical meaning to “continental”, so I think you may mean complementary.</p>
<p style="text-align:justify">The complementary angle for 47° is 43° because 90-47=43. Also, because an angle represents rotation, 360° is equivalent to 0°, therefore any multiple of 360° is also equivalent to 0°. The equivalent angle to 43° between 500° and 1000° is 720+43=763°. </p>
<p style="text-align:justify">We can also subtract 360° to get negative angles 43-360=-317°, which is between -500° and 0°.</p>
<p style="text-align:justify">We can do the same for 47°: 47-360=-313°.</p>
<p style="text-align:justify">I hope this helps.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255811/positive-continental-degrees-negative-continental-degrees?show=255812#a255812Wed, 14 Nov 2018 22:43:47 +0000Answered: solve an expression
https://www.mathhomeworkanswers.org/247533/solve-an-expression?show=255705#a255705
Distance = rate * time (d=rt) <br />
<br />
Since the boat travels up and down stream the total distance is 48km. As far as the river current, because the boat goes up and down that 3km/hr will cancel itself out. The boat will be slowed down in one direction but spead up in the other direction<br />
<br />
So, just use d=48, t=6 and solve for r<br />
<br />
48=6r<br />
<br />
r=8 <br />
<br />
8km/hrAlgebra 2 Answershttps://www.mathhomeworkanswers.org/247533/solve-an-expression?show=255705#a255705Thu, 08 Nov 2018 18:47:17 +0000Answered: find the equation of the line with a slope of 2/5 through the point (-5,-9)
https://www.mathhomeworkanswers.org/255664/find-the-equation-of-the-line-with-slope-of-through-the-point?show=255667#a255667
<p style="text-align: justify;">General equation of line is y=2x/5+a. To find the constant a plug in the point:</p>
<p style="text-align: justify;">-9=(2/5)(-5)+a, so -9=-2+a, and a=2-9=-7, y=2x/5-7</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255664/find-the-equation-of-the-line-with-slope-of-through-the-point?show=255667#a255667Tue, 06 Nov 2018 23:15:35 +0000Answered: find X and Y intercepts of y = 1/8x^ 2 + 11/8x +3/2 parabola
https://www.mathhomeworkanswers.org/78769/find-x-and-y-intercepts-of-y-1-8x-2-11-8x-3-2-parabola?show=255632#a255632
<p style="text-align:justify">The y intercept is easy to find, because it’s the value of y when x=0, so the y intercept=3/2.</p>
<p style="text-align:justify">We can write y=x²/8+11x/8+3/2 as y=⅛(x²+11x)+3/2, y=⅛(x²+11x+121/4-121/4)+3/2.</p>
<p style="text-align:justify">So y=⅛((x+11/2)²-121/4)+3/2,</p>
<p style="text-align:justify">y=⅛(x+11/2)²-121/32+3/2,</p>
<p style="text-align:justify">y=⅛(x+11/2)²-73/32. When y=0 we get the x intercepts, so ⅛(x+11/2)²=73/32, (x+11/2)²=73/4.</p>
<p style="text-align:justify">Take square roots of each side: x+11/2=±√73/2 and the x intercepts are -11/2+√73/2=-1.228 and -11/2-√73/2=-9.772 approx. The vertex lies on the axis of symmetry and is found by finding where y has its minimum (smallest) value. We know y=⅛(x+11/2)²-73/32, so y has a minimum value of -73/32 when x=-11/2. The axis of symmetry is a vertical line parallel to the y axis, so x has the same value everywhere on the line, regardless of what y is. The equation of the line of symmetry must therefore be x=-11/2. This line reflects one half of the parabola on to the other.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=10853363692374781406" style="height:306px; width:500px"></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/78769/find-x-and-y-intercepts-of-y-1-8x-2-11-8x-3-2-parabola?show=255632#a255632Mon, 05 Nov 2018 16:41:52 +0000Answered: A radio active isotope is decaying at a rate of 18% per hour currently there is 100 grams of the substance how much will be left one day from now ?
https://www.mathhomeworkanswers.org/255560/radio-active-isotope-decaying-currently-there-grams-substance?show=255567#a255567
<p style="text-align: justify;">The decay factor is (100-18)%=0.82 per hour. So the equation we need is m=100(0.82)ʰ where m is the mass in grams and h the time in hours. Plug in h=24 and we get m=100×0.00854=0.854 grams approx.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255560/radio-active-isotope-decaying-currently-there-grams-substance?show=255567#a255567Fri, 02 Nov 2018 07:35:28 +0000Answered: what is 8w+1=-12w+21 divided by -3
https://www.mathhomeworkanswers.org/255520/what-is-8w-1-12w-21-divided-by-3?show=255521#a255521
<p style="text-align: justify;">8w+1=(-12w+21)/-3=4w-7</p>
<p style="text-align: justify;">8w-4w=-7-1=-8</p>
<p style="text-align: justify;">4w=-8, w=-2.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255520/what-is-8w-1-12w-21-divided-by-3?show=255521#a255521Wed, 31 Oct 2018 20:13:07 +0000Answered: what is a common denominator for 5, 6, and 7
https://www.mathhomeworkanswers.org/55613/what-is-a-common-denominator-for-5-6-and-7?show=255471#a255471
simpleAlgebra 2 Answershttps://www.mathhomeworkanswers.org/55613/what-is-a-common-denominator-for-5-6-and-7?show=255471#a255471Tue, 30 Oct 2018 09:45:11 +0000Answered: What is y=x^2+8x-1 in the general form?
https://www.mathhomeworkanswers.org/18099/what-is-y-x-2-8x-1-in-the-general-form?show=255420#a255420
<p style="text-align:justify">y=x²+8x-1, y=x²+8x+16-16-1, y=(x+4)²-17</p>
<p style="text-align:justify">y=f(x)=(x+4)²-17 so h=-4 and k=-17.</p>
<p style="text-align:justify">The vertex is the highest or lowest point on the curve, depending on whether the parabola is shaped like an upside-down U or an upright U. In this case, it’s upright, so the vertex is the lowest point. This means y or f(x) has its lowest or minimum value. In this case y can’t go below -17, and this happens when x=-4 (the value of h) and when y=-17 (the value of k). So when the function is in general or standard form, (h,k) is the vertex, and in this case it’s (-4,-17).</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=12480563130162309141" style="height:593px; width:400px"></p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/18099/what-is-y-x-2-8x-1-in-the-general-form?show=255420#a255420Fri, 26 Oct 2018 15:02:12 +0000Answered: f(x) less than or equal to x squared over 2 + 8x + 28
https://www.mathhomeworkanswers.org/255395/f-x-less-than-or-equal-to-x-squared-over-2-8x-28?show=255402#a255402
<p style="text-align:justify">f(x)≤x²/2+8x+28 is a function and it can be plotted by first changing the less-than-or-equal-to sign to an equals sign. This gives us the graph of a parabola (U-shaped curve). The less-than-or-equal-to sign represents the area below the curve, which is an infinite area because it includes everything below the x-axis as well as the area between the curve and above the x-axis. It also includes all points on the curve itself.</p>
<p style="text-align:justify">So the function has been defined in this way and no further “solution” is possible or is required.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=11443225566922737755" style="height:284px; width:350px"></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255395/f-x-less-than-or-equal-to-x-squared-over-2-8x-28?show=255402#a255402Fri, 26 Oct 2018 08:56:14 +0000Answered: find the maximum value of the function P=3x+2y
https://www.mathhomeworkanswers.org/134449/find-the-maximum-value-of-the-function-p-3x-2y?show=255316#a255316
P=28Algebra 2 Answershttps://www.mathhomeworkanswers.org/134449/find-the-maximum-value-of-the-function-p-3x-2y?show=255316#a255316Wed, 24 Oct 2018 00:13:46 +0000Answered: Cubic with 1 real zero and a>0
https://www.mathhomeworkanswers.org/255126/cubic-with-1-real-zero-and-a-0?show=255166#a255166
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=12463340552100534706" style="height:366px; width:400px"></p>
<p style="text-align:justify">This is the graph of 2x³-2x²+x-1. The curve cuts the x-axis once for the real zero at x=1. The other zeroes are complex (imaginary) so the curve doesn’t intersect the x-axis for these.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255126/cubic-with-1-real-zero-and-a-0?show=255166#a255166Thu, 18 Oct 2018 12:34:09 +0000Answered: ((x/3)-6) / ((4/x)+10)
https://www.mathhomeworkanswers.org/255095/x-3-6-4-x-10?show=255104#a255104
<p style="text-align: justify;">Take the numerator: (x/3)-6 is the same as (x-18)/3 and the denominator is (4+10x)/x.</p>
<p style="text-align: justify;">Now the quotient: (x-18)/3÷(4+10x)/x=</p>
<p style="text-align: justify;">(x-18)/3×(x/(4+10x))=</p>
<p style="text-align: justify;">(x(x-18))/(3(4+10x)=</p>
<p style="text-align: justify;">(x²-18x)/(6(2+5x)), or (x²-18x)/(12+30x).</p>
<p style="text-align: justify;">We can take this further by using algebraic long division but that probably looks more complicated.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255095/x-3-6-4-x-10?show=255104#a255104Wed, 17 Oct 2018 07:55:20 +0000Answered: What kind of function would best model the data below, where x is the independent variable and y is the dependent variable?
https://www.mathhomeworkanswers.org/255052/function-would-where-independent-variable-dependent-variable?show=255054#a255054
<p style="text-align:justify">Linear, because there is a constant interval (difference) between the x and between the y values. The function is also rational because it can be defined as the quotient of two functions of x.</p>
<p style="text-align:justify">[The standard form is y=mx+c (y=-2x+5, which could be written y=f(x)/g(x)=(2x-5)/-1, for example, where f(x)=2x-5 and g(x)=-1.)]</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255052/function-would-where-independent-variable-dependent-variable?show=255054#a255054Mon, 15 Oct 2018 07:12:05 +0000Answered: 1/3+2/9+3/27+4/81+5/243+6/729...
https://www.mathhomeworkanswers.org/255035/1-3-2-9-3-27-4-81-5-243-6-729?show=255036#a255036
<p style="text-align:justify">Let x be the sum of the series, then x/3=1/9+2/27+3/81+...</p>
<p style="text-align:justify">So x-x/3=1/3+2/9+3/27+...+n/3ⁿ...-(1/9+2/27+3/81+...+n/3ⁿ⁺¹...)</p>
<p style="text-align:justify">Therefore 2x/3=1/3+1/9+1/27+1/81+...</p>
<p style="text-align:justify">Let S=sum the geometric series on the right to n terms. The common ratio is 1/3.</p>
<p style="text-align:justify">Therefore S/3=1/9+1/27+1/81+1/243+ and</p>
<p style="text-align:justify">S-S/3=2S/3=1/3 because all but the first term cancel out and the last term of the infinite series approaches zero, making S=3/2×1/3=1/2.</p>
<p style="text-align:justify">Therefore 2x/3=1/2, and x=3/2×1/2=3/4, so the sum of the given series is 3/4.</p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255035/1-3-2-9-3-27-4-81-5-243-6-729?show=255036#a255036Sat, 13 Oct 2018 19:23:13 +0000Answered: Minimize C = x +y with the following constraint O<=X<=4 0<=Y<=4 2X-3Y<=-1 -X+Y>=0
https://www.mathhomeworkanswers.org/1241/minimize-c-x-y-with-the-following-constraint-o-x-4-0-y-4-2x-3y-1-x-y?show=255026#a255026
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=8912769537407737351" style="height:310px; width:450px"></p>
<p style="text-align:justify">The thick red lines enclose the given constrained region. The blue line is of the form x+y=c where c is a constant. c has a minimum value when the line is as far over to the left as possible to remain in the enclosed region.</p>
<p style="text-align:justify">The line 2x-3y=-1 is also 3y-2x=1, and has a y-intercept at y=⅓. The blue line must pass through this intercept to be in its leftmost position. So x+y=⅓ is the equation and c=⅓ is the minimum value.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/1241/minimize-c-x-y-with-the-following-constraint-o-x-4-0-y-4-2x-3y-1-x-y?show=255026#a255026Sat, 13 Oct 2018 14:07:20 +0000Answered: 2+ (-3) +7
https://www.mathhomeworkanswers.org/254951/2-3-7?show=254979#a254979
2+(-3)+7<br />
<br />
2-3+7<br />
<br />
-1+7<br />
<br />
6Algebra 2 Answershttps://www.mathhomeworkanswers.org/254951/2-3-7?show=254979#a254979Thu, 11 Oct 2018 22:21:38 +0000Answered: If the company earned a total of $37,500 in interest last year,how much cash did they keep in the bank
https://www.mathhomeworkanswers.org/254929/company-earned-total-interest-year-much-cash-they-keep-bank?show=254939#a254939
<p style="text-align:justify">To answer this question, we need to know the interest rate.</p>
<p style="text-align:justify">Let’s say the interest rate was 5% per year. Then interest would be 5% of the money they had in the bank, which is $37500. 5/100=37500/?. So we can write this as 5×7500/100×7500=37500/750000. Therefore ?=$750,000. In other words, $37,500 is 5% of $750,000.</p>
<p style="text-align:justify">Another way to solve it is to say if 5% is equivalent to $37,500, then 100% is 20 times as much as 5%, so the amount must be 20 times $37,500=$750,000. It’s simple proportion.</p>
<p style="text-align:justify">Find out what the actual interest rate is and use one of these methods to find your answer.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254929/company-earned-total-interest-year-much-cash-they-keep-bank?show=254939#a254939Wed, 10 Oct 2018 09:06:32 +0000Answered: Which of the following points are solutions to the given system 3x-4y<10 2x+6y>-8
https://www.mathhomeworkanswers.org/254930/which-the-following-points-are-solutions-to-the-given-system?show=254935#a254935
<p style="text-align:justify">You haven’t listed the points so we have to generalise the answer.</p>
<p style="text-align:justify">This can be solved graphically. If we plot the equations we can see that the solution is the common area above the intersection point of the two given lines.</p>
<p style="text-align:justify">We need to work out where the lines intersect. So we remove the inequalities.</p>
<p style="text-align:justify">From equation 2 we have x=-4-3y, so substitute in equation 1: 3(-4-3y)-4y=10, -12-9y-4y=10, -13y=22, y=-22/13. So x=-4-3y=-4+66/13=14/13, and the intersection point is (14/13, -22/13). The solution to the inequalities is all points above this and enclosed by the two lines. That means that the y coord must be greater than -22/13, otherwise it would lie below the intersection point.</p>
<p style="text-align:justify">If you had provided a list of points, we would have simply plugged in these points to see which ones satisfied the two inequalities. Or, using the graph, we look to see if the points lie above both lines. For example, (2,1) satisfies the inequalities because it lies in the required area; but (2,-1) doesn’t because it actually lies ON the line, and the inequality needs it to lie ABOVE the line. Also, both (1,1) and (1,-1) satisfy the inequalities, but (-1,-1) doesn’t, and (-1,1) does.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=7999563000955536043" style="height:280px; width:350px"></p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254930/which-the-following-points-are-solutions-to-the-given-system?show=254935#a254935Wed, 10 Oct 2018 08:06:51 +0000Answered: write an equation in slope intercept-form to the line passing through (-1/2,3/4) and (-1/2,-1/3)
https://www.mathhomeworkanswers.org/29928/write-equation-slope-intercept-form-the-line-passing-through?show=254899#a254899
<p><span style="font-family:open sans,sans-serif; font-size:18px">x=-1/2</span></p>
<p> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/29928/write-equation-slope-intercept-form-the-line-passing-through?show=254899#a254899Mon, 08 Oct 2018 14:24:58 +0000The sum of two numbers is 62 and their difference is 16. Which system of equations represents the word problem?
https://www.mathhomeworkanswers.org/254811/numbers-difference-which-system-equations-represents-problem
I need help with this problem.Algebra 2 Answershttps://www.mathhomeworkanswers.org/254811/numbers-difference-which-system-equations-represents-problemThu, 04 Oct 2018 12:48:41 +0000