SOLUTION: A) Find an equation in the form ax^2+bx+c=0 that can be used to determine the first year in which the population of US prisons was approximately 1216 people. P=2x^2+18x+332 Do

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Question 673226: A) Find an equation in the form ax^2+bx+c=0 that can be used to determine the first year in which the population of US prisons was approximately 1216 people.
P=2x^2+18x+332
Do Not Solve Yet
B)Now factorthe equation to solve it and specify the first year in which the population was approximately 1216 thousand people.
Any help would be very much appreciated. Thank you.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A) Find an equation in the form ax^2+bx+c=0 that can be used to determine the first year in which the population of US prisons was approximately 1216 people.
P(x) = 2x^2+18x+332
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Solve:
2x^2+18x+332-1216 = 0
2x^2 + 18x - 884 = 0
Do Not Solve Yet
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B)Now factor the equation to solve it and specify the first year in which the population was approximately 1216 thousand people.
x^2 + 9x - 442 = 0
(x-17)(x+26) = 0
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Positive solution:
x = 17 years
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Cheers,
Stan H.
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