Which expression is equivalent to this quotient? 4x^2 -8x -5/ 4x^2 - 25

A. -1/5
B. 2x - 1/ 2x - 5
C. 2x + 1/ 2x + 5
D. 2x - 5/ 2x + 5

The answer is (C) 2x+1/ 2x+5.

This is just finding like terms.

Like terms are terms that are the same, like 2x and 3x for example, would be like terms. (This is not in the problem by the way.) Just divide the like terms, and that's your answer.

I tried to give a good explanation but I'm super tired. Just trying to help.

10000000000000000000000000000000

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: