Factor the four-term polynomial. pq - 3r + pr - 3q. (p - 3)(q + r) (p - r)(q + 3) (p + 3)(q - r)the expression 3r - 6 can be written as r - 2.

 The correct option is

(A)

Step-by-step explanation:  We are given to factor the following term polynomial :

We will be using the following factorization formula :

From (i), we get

Thus, the required factored form is

Option (A) is CORRECT.

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:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet