Question

: Finding Points of Intersection of a Linear-Quadratic System of Equations Marina is a set designer she has a banner on an angle across an archway. She is working with the equations y = 0.24x + 7.2 and y = 0.48x2 + 4.8x, where x represents the horizontal distance and y the vertical distance, both in metres, from one foot of the archway. Questions: 1. Determine the coordinates of the points where the two functions intersect. 2. Interpret the solutions in the context.

Answer 1

strate line: y=0.24x +7.2 . . . kerv: y=0.48x^2+4.8x . . . hit...0.24x+7.2=0.48x^2+4.8x . . . or 0.48x^2 +4.8x -0.24x -7.2=0 . . . 0.48x^2 +4.56x -7.2=0 . . . quadratik equashun giv x=1.3788253 & -10.8788253 . . . ignore the negativ at x=1.3788, y=0.24x+7.2=0.330918072+7.2=7.530918072