Write the equation: y = -0.1(x + 2)(x - 7) in standard form.

y = -0.1x² + 0.5x + 1.4

Step-by-step explanation:

y = -0.1(x + 2)(x - 7)

y = -0.1(x² - 7x + 2x - 14)

y = -0.1(x² - 5x - 14)

y = -0.1x² + 0.5x + 1.4

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:

3,000,540

step-by-step explanation: