SOLUTION: Looking at {{{f(x)=-0.2x^2+12x+11}}} After how many days will the peak or low occur?

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Question 130299: Looking at

After how many days will the peak or low occur?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The peak corresponds to the vertex of the parabola. So let's find the x-coordinate of the vertex


In order to do that, we can use this formula:



From the equation we can see that a=-0.2 and b=12

Plug in b=12 and a=-0.2


Multiply 2 and -0.2 to get -0.4


Divide


So the x-coordinate of the vertex is




So at the x-coordinate of the vertex, the peak will occur. So on the 30th day, the peak in ticket sales will occur.