Subtract - 2x - 10 from 10x2 + 3.

10x2 + 2x + 13.

Step-by-step explanation:

10x2 + 3  - (-2x - 10)      (Note you have to put the -2x - 10 in brackets).

= 10x2 + 3 + 2x + 10      (Distributing the negative over the brackets).

= 10x2 + 2x + 13.

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: