Suppose f varies directly as g, and f varies inversely as h. f = -12 when h = 4 and g = -3. Find g when f = 28 and h = 8.

Question

Suppose f varies directly as g, and f varies inversely as h.
f = -12 when h = 4 and g = -3.
Find g when f = 28 and h = 8.

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Rose 2 weeks 2022-01-08T12:06:38+00:00 1 Answer 0 views 0

Answers ( )

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    2022-01-08T12:07:41+00:00

    Answer:

    g = 14

    Step-by-step explanation:

    Given that f varies directly as g and inversely as h then the equation relating them is

    f = \frac{kg}{h} ← k is the constant of variation

    To find k use the condition f = – 12 when h = 4 and g = – 3, that is

    – 12 = \frac{-3k}{4} ( multiply both sides by 4 )

    – 48 = – 3k ( divide both sides by – 3 )

    16 = k

    f = \frac{16g}{h} ← equation of variation

    When f = 28 and h = 8 , then

    28 = \frac{16g}{8} = 2g ( divide both sides by 2 )

    g = 14

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45:7+7-4:2-5:5*4+35:2 =? ( )