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+15, where x is the number of days since the concert was first annou
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-> 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+15, where x is the number of days since the concert was first annou
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Question 625276: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)= -0.4x^2+8x+15, where x is the number of days since the concert was first announced. When will daily tickets sales peak and how many tickets will be sold that day?
Tickets sales will peak ? days after the concert was first announced.
The number of tickets sold on that day will be ?
(Round to the nearest integer)
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)= -0.4x^2+8x+15, where x is the number of days since the concert was first announced.
When will daily tickets sales peak and how many tickets will be sold that day?
Tickets sales will peak ? days after the concert was first announced.
The vertex defines the peak sales:
x = -b/(2a)
x = -8/(2(-0.4))
x = -8/(-0.8)
x = 10 days
The number of tickets sold on that day will be ?
plug x=10 back into original equation:
N(10)= -0.4(10)^2+8(10)+15
N(10)= -0.4(100)+(80)+15
N(10)= -40+80+15
N(10)= 40+15
N(10)= 55 tickets