The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.5x^2+13x+12x

, where x is the number of days since the first concert was announced. When will daily ticket sales peak and how many tickets will be sold that day?
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1 Answer

occurs at the vertex or maximum point of the parabola:

-b/2a =-13/2(-.5) =13

on the 13th day the most tickets will be sold

-.5(13)^2 +13(13) +12 tickets
by Level 5 User (12.9k points)

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