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3 years ago

The quantity p varies inversely as the square of (q + 2) p=5 when q = 3 Find p when q = 8

Mathematics

1 answer:

MArishka [77]3 years ago

7 0

Answer:

p = 1.25

Step-by-step explanation:

varies inversely

p (q + 2)² = k

-----------------------

Find k

p=5 when q = 3

5(3 + 2)² = k

5(25) = k

125 = k

----------------------

Find p when q = 8

p(8 + 2)² = 125

p(100) = 125

divide both sides by 100

p = 1.25

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dusya [7]

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Step-by-step explanation:

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$\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \\ \\ &= \left(5(x^2 + 2ax + a^2) + (2x + 2a) \right) + \left(-5x^2 - 2x\right) \\ \\ &= \left((5x^2 + 10ax + 5a^2) + (2x + 2a)\right) + \left(-5x^2 - 2x\right) \\ \\ &= (5x^2-5x^2) + (10ax + 2x - 2x) + (5a^2+2a) \\ \\ &= 10ax + 5a^2 + 2a \end{aligned}$

In conclusion:

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3 years ago

The quantity p varies inversely as the square of (q + 2) p=5 when q = 3 Find p when q = 8​

The quantity p varies inversely as the square of (q + 2) p=5 when q = 3 Find p when q = 8