SOLUTION: The number of tickets sold each day for an upcoming performance of​ Handel's Messiah is given by N(x)=−0.5x2+11x+15​, where x is the number of days since the conc

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The number of tickets sold each day for an upcoming performance of​ Handel's Messiah is given by N(x)=−0.5x2+11x+15​, where x is the number of days since the conc      Log On


   

Question 1114283: The number of tickets sold each day for an upcoming performance of​ Handel's Messiah is given by N(x)=−0.5x2+11x+15​, 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. How many tickets will be sold on that day? _____
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
+N%28x%29+=+-.5x%5E2+%2B+11x+%2B+115+
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+15+
+N%2811%29+=+75.5+

Answer. Ticket sales will peak 11 days after concert was announced.
The peak price of the ticket will be $75.5.