SOLUTION: Use Tickests=-0.2x^2+12x+11 to determin the last day that tickets will be sold.

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Question 451609: Use Tickests=-0.2x^2+12x+11 to determin the last day that tickets will be sold.
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Tickets = -0.2x^2+12x+11
set Tickets to 0 and solve for x:
0 = -0.2x^2+12x+11
apply the "quadratic formula" to get:
x = {-0.9, 60.9}
throw out the negative solution leaving:
x = 60.9
solution: 61 days
.
Details of quadratic follows:
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=152.8 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.903074280724887, 60.9030742807249. Here's your graph:



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