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UkoKoshka [18]
3 years ago
14

During the period 1985–2012, the projected enrollment B (in thousands of students) in public schools and the projected enrollmen

t R (in thousands of students) in private schools can be modeled by B = –18.53t2 + 975.8t + 48,140 and R = 80.8t + 8049, where t is the number of years since 1985.
Mathematics
1 answer:
Zina [86]3 years ago
3 0
The equation that models the difference in the projected enrollments for public schools and private schools as a function of the number of years since 1985 is B - R = (-18.53t^2 + 975.8t + 48140) - (80.8t + 8049) = -18.53t^2 + 975.8t + 48140 - 80.8t - 8049 = -18.53t^2 + 895t + 40091
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Use the Pythagorean theorem two times:

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PR^2=RN^2+NP^2\\\\x^2=8^2+15^2\\\\x^2=64+225\\\\x^2=289\to x=\sqrt{289}\\\\\boxed{x=17\ cm}

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