Question

suppose F writes directly as g and f varies inversely as h. Find g when f=6, h=-5, g=-18 when h=-3 , f=5

Answer 1

Answer:

g = 9

Step-by-step explanation:

F varies directly as g and inversely as h

$f = \frac{kg}{h} \\ 6 = \frac{ - 18k}{ - 5} \\ - 30 = - 18k \\ k = \frac{ - 30}{ - 18} \\ k = \frac{5}{3}$

$f = \frac{ \frac{5}{3} g}{h}$

$5 = \frac{ \frac{5}{3}g }{ - 3} \\ - 15 = \frac{5}{3} g \\ - 45 = 5g \\ g = 9$