Michael is designing a backyard garden. he would like the length of the garden to be 3 feet longer than the width. the area of michael’s garden is given by x2 + 3x, where x represents the width of the garden. the binomial x + 3 is a factor of the polynomial.

what does this factor represent?

answer: the common difference is -0.10

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:

14

step-by-step explanation:

14 x 3 = 42