Question

URGENT !! I WILL GIVE MANY POINTS

-12u+3=8v+1

write a formula for g(u) in terms of u

Answer 1

g(u)= -3/2u + 1/4

Explanation:

-12u + 3 = 8v +1

-12u + 3 -1 = 8v+1-1 (you would subtract 1 from both sides)

-12u+2 = 8v

1/8(-12u+2) = 8v X 1/8 (reduction of a fraction)

g(u) = -3/4u +1/4

Answer 2

`g(u)&=(-6u+1)/(4)`

Explanation:

Given equation:

`-12u+3=8v+1`

To write a formula for g(u), we need to solve the equation for v.

Begin by swapping sides:

`8v+1=-12u+3`

Subtract 1 from both sides of the equation:

`8v+1-1=-12u+3-1`

`8v=-12u+2`

Divide both sides of the equation by the highest common factor 2:

`(8v)/(2)=(-12u+2)/(2)`

`4v&=-6u+1`

Divide both sides of the equation by 4 to isolate v:

`(4v)/(4)=(-6u+1)/(4)`

`v=(-6u+1)/(4)`

Replace v with g(u):

`g(u)=(-6u+1)/(4)`

Therefore, the formula for g(u) is:

`\large\boxed{\boxed{g(u)&=(-6u+1)/(4)}}`