Suppose f varies directly as g, and f varies inversely as h. find g when f = 10 and h = –12, if g = 56 when h = –2 and f = –7. round your answer to the nearest hundredth, if necessary.

-480

Step-by-step explanation:

If f varies directly as g, and inversely as h, then we can write the variation equation:

, where k is the constant of variation.

If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.

The equation now becomes:

if f=10 and h=-12, then;

The correct answer is B.