Solve by the using the square root property: 5x2 - 40 = 0

2sqrt(2)

Step-by-step explanation:

5x^2 - 40 = 0

=> 5x^2 = 40

=> x^2 = 40/5 = 8

=> x = sqrt(8) = sqrt(4 x 2) = 2sqrt(2)

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:

b

step-by-step explanation: