SOLUTION: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+13, where x is the number of days since the concert was first announ

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Question 617229: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+13, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Answer by nerdybill(7384) About Me  (Show Source):
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The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+13, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
.
The peak occurs at the vertex:
the x-value of vertex:
x = -b/2a
x = -8/(2*(-0.4))
x = -8/(-0.8)
x = 10 (sales peak 10 days after concert was first announced)
.
number of tickets can be found by plugging x (10) back into original equation:
N(x)=-0.4x^2+8x+13
N(10)=-0.4*10^2+8(10)+13
N(10)=-0.4*100+80+13
N(10)=-40+93
N(10)=53 tickets