Which of the following is the quotient of the rational expression shown below?

The correct answer is option D.

(x² - 16)/(4x³ + 6x²)

Step-by-step explanation:

It is given that, (x - 4)/2x²  ÷ (2x + 3)/(x + 4)

To find the correct option

(x - 4)/2x²  ÷ (2x + 3)/(x + 4)

 = (x - 4)/2x²  * (x + 4)/(2x + 3)

 = [(x - 4)(x + 4)]/(2x²(2x +3)

 = (x - 16)/(4x³ + 6x²)

The correct answer is option D.

(x² - 16)/(4x³ + 6x²)

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:

black lol

step-by-step explanation:

h

i can tell you jamal now has 3 cookies xd

tommy has 2.

this made me lol.