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+12, where x is the number of days since the concert was first announ

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Question 164163: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+12, 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 aka042(26) About Me  (Show Source):
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The ticket sales peak at the equations vertex (the highest point of the quadratic equation). The x value of the vertex can be found by the equation -b%2F%282%2Aa%29. Your b is the coefficient of x, which is 8, and a is the coefficient of x^2, which is -.4. Therefore the x value of the vertex is -8%2F%282%2A-.4%29+=+-8%2F-.8+=+10. Since your x value is the number of days, then we know daily ticket sales peak at 10 days.


To find the number of tickets sold that day, we simply plug 10 into your equation. So . Therefore ticket sales peak at day 10, and 52 tickets will be sold that day.