f=12gh+15gThe equation gives the quantity f in terms of the quantities g and h. Which of the following equations correctly expresses g in terms of f and h ?Choose 1 answer:(A) g=12h+15f(B) g=12h−15f(C) g=12hf−15(D) g=27hf
Q. f=12gh+15gThe equation gives the quantity f in terms of the quantities g and h. Which of the following equations correctly expresses g in terms of f and h ?Choose 1 answer:(A) g=12h+15f(B) g=12h−15f(C) g=12hf−15(D) g=27hf
Factor out g: We are given the equation f=12gh+15g. To solve for g in terms of f and h, we need to factor g out of the right-hand side of the equation.
Obtain simplified equation: Factoring g out of the right-hand side, we get f=g(12h+15).
Isolate g: To isolate g, we divide both sides of the equation by (12h+15), which gives us g=12h+15f.
Verify correct equation: We check the options given to see which one matches our derived equation for g. The correct equation is g=12h+15f, which corresponds to option (A).
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