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

Algebra ->  Exponential-and-logarithmic-functions -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
+N%28x%29+=+-.5x%5E2+%2B+11x+%2B+11+
If the form of the quadratic is:
+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+, then the
x-value of the
vertex ( peak in your case ) is at
+x%5Bv%5D+=+-b%2F%282a%29+
+a+=+-.5+
+b+=+11+
-------------------
+x%5Bv%5D+=+-11%2F%282%2A%28-.5%29%29+
+x%5Bv%5D+=+11+
Now find +N%2811%29+
+N%2811%29+=+-.5%2A11%5E2+%2B+11%2A11+%2B+11+
+N%2811%29+=+-55.5+%2B+121+%2B+11+
+N%2811%29+=+132+-+55.5+
+N%2811%29+=+76.5+
Ticket sales will peak 77 days after concert was announced
( check the math )

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
The correct answer is 11 days.


Answer by MathTherapy(10555) About Me  (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 highlight_green%28matrix%281%2C2%2C+11%2C+days%29%29 after the announcement, or on the 11th day, and number of tickets sold that day would be: highlight_green%28matrix%281%2C3%2C+%2271.5%2C%22%2C+or%2C+71%29%29