Respuesta :

Answer:

[tex]j=12[/tex]

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 [tex]j = kgv[/tex]

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

[tex]2 = k(4)(3)[/tex]

[tex]2 = 12k[/tex]

[tex]k=\frac{1}{6}[/tex]

The equation is equal to

[tex]j=\frac{1}{6}gv[/tex]

step 2

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

substitute the values in the equation and solve for j

[tex]j=\frac{1}{6}(8)(9)[/tex]

[tex]j=12[/tex]