The following formula models the number of prison inmates, P, in thousands, who are in U. S prisons x years after 1980.

P=2x^2+22x+318

Find the first year in which the population of U. S. prisons was approximately 1270 thousand people.

Question

Denisse Johnston

18 December, 07:18

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Answers (1)

Know the Answer?

Jaiden Bennett · Answer 1

2X^2+22x+318=1270

2x^2+22x-952=0

x^2+11x-476=0

(x+28) (x-17) = 0

x=17

The following formula models the number of prison inmates, P, in thousands, who are in U. S prisons x years after 1980.P=2x^2+22x+318Find the first year in which the population of U. S. prisons was approximately 1270 thousand people.