Apolynomial expression is shown below.

(mx+8)(2x−4)

the expression is simplified to:

−6x2+28x−32

what is the value of m?

a) -3

b) 4

c) 3

d) -4

m = -3

Step-by-step explanation:

The polynomial expression

(mx+8)(2x−4)

The next step is to expand the bracket

(mx × 2x) + (mx × -4) + (8×2x) + (8× -4)

2mx^2 - 4mx + 16x -32

2mx^2 - 4mx + 16x -32

2mx^2 + 12x -32 - - - - - - - - - - 1

From the question,

The expression is simplified to

−6x2+28x−32 - - - - - - - - - - - - 2

This means equation 1 = equation 2

Comparing both equations, we have

2mx^2 = −6x^2

2m = -6

m = -6/2 = -3

The correct option is a

The expression becomes

(-3x+8)(2x−4)

Let us check

Expanding the brackets,

(-3x × 2x) + (-3x ×-4)+ (8×2x) + (8×-4)

= -6x^2 +12x + 16x - 32

= -6x^2 +18x - 32

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:

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.