2/3a =b+4f solve for a

Simplifying

4f = 30 + -1f

Solving

4f = 30 + -1f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add 'f' to each side of the equation.

4f + f = 30 + -1f + f

Combine like terms: 4f + f = 5f

5f = 30 + -1f + f

Combine like terms: -1f + f = 0

5f = 30 + 0

5f = 30

Divide each side by '5'.

f = 6

6

Step-by-step explanation:

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step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.