SOLUTION: The number of tickets sold each day for an upcoming performance of​ Handel's Messiah is given by N(x)=−0.5x2+11x+11​, where x is the number of days since the conc

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Question 1114189: The number of tickets sold each day for an upcoming performance of​ Handel's Messiah is given by N(x)=−0.5x2+11x+11​, 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?
Ticket sales will peak_____days after the concert was first announced.
Found 3 solutions by josmiceli, ikleyn, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

If the form of the quadratic is:
, then the
x-value of the
vertex ( peak in your case ) is at



-------------------


Now find




Ticket sales will peak 77 days after concert was announced
( check the math )
Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.
The correct answer is 11 days.


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
The number of tickets sold each day for an upcoming performance of​ Handel's Messiah is given by N(x)=−0.5x2+11x+11​, 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?
Ticket sales will peak_____days after the concert was first announced.
Sales will peak  after the announcement, or on the 11th day, and number of tickets sold that day would be:  

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