Select all the expressions that are equivalent to -4(10x - 2) + 2(10x - 2) - 3(-10x + 2)
M. -10x - 1 + 35x – 7 – 15x + 1
P. - 10x + 2 + 35x - 1 - 15x - 3
R. (5x - 1) (-2+7 - 3)
S. (5x - 1) (-2+ 7 + 3)
T. 40x - 8
V.
10x - 2

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

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: