SOLUTION: Each cycle of a screen saver program generates and then erases numbers of little animated figures called froobies. The formula P=-2x^2+106x-674 models the population, P, of froobie

Question 480854: Each cycle of a screen saver program generates and then erases numbers of little animated figures called froobies. The formula P=-2x^2+106x-674 models the population, P, of froobies after x minutes within a cycle. How many minutes into a cycle will the froobie population reach 118?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Each cycle of a screen saver program generates and then erases numbers of little animated figures called froobies. The formula P=-2x^2+106x-674 models the population, P, of froobies after x minutes within a cycle. How many minutes into a cycle will the froobie population reach 118?
.
Given:
P=-2x^2+106x-674
Set P to 118 and solve for x:
118=-2x^2+106x-674
0 = -2x^2+106x-792
0 = 2x^2-106x+792
0 = x^2-53x+396
factoring we have:
0 = (x-9)(x-44)
x = {9, 44} minutes

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