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D. a(b+c) = ab+ac

Step-by-step explanation:

When you distribute you multiply the number before the parenthesis by both of the numbers inside the parenthesis

D.)

Step-by-step explanation:

With the distributive property, you need to evenly distribute the value before the parentheses (a) by the values inside the parentheses (b+c), so it would look like this:

With real values if a=2 and b=3b and c=4c

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:

2x^2+5x+17

your welcome. : )