How can the additive inverse be used to evaluate the problem below?
-)

1-because 3+(-6) is an equivalent expression, the answer is -3.
2-because 3+(-6) is an equivalent expression, the answer is 3.
3-because -3+6 is an equivalent expression, the answer is -3.
4-because -3+6 is an equivalent expression, the answer is 3.

4-Because -3+6 is an equivalent expression, the answer is 3.

Step-by-step explanation:

Given expression is -3-(-6)

This can be represented as a binary operation between 2 negative integers a and b where a corresponds to -3 and b corresponds to -6. The binary operation involved is that of subtraction.

This can equivalently be expressed as follows:

=

Substituting the values of a and b,

=

=

=

Among the given options, option 4 is correct.

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15