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Leya [2.2K]
2 years ago
15

Suppose j varies jointly with g and​ v, and j=2 when g=4 and v=3. Find j when g=8 and v=9.

Mathematics
1 answer:
vladimir2022 [97]2 years ago
3 0

Answer:

j=12

Step-by-step explanation:

we know that

In a join variation, If j varies jointly with respect to g and v, the equation will be of the form j = kgv

where k is a constant

step 1

Find the value of k

we have

j=2,g=4,v=3

substitute and solve for k

2 = k(4)(3)

2 = 12k

k=\frac{1}{6}

The equation is equal to

j=\frac{1}{6}gv

step 2

Find the value of j when g=8,v=9

substitute the values in the equation and solve for j

j=\frac{1}{6}(8)(9)

j=12

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