3x (x+5)=0
zero factor product ( SHOW WORK)

x=0 or x=−5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x^2+15x=0

Step 2: Factor left side of equation.

3x(x+5)=0

Step 3: Set factors equal to 0.

3x=0 or x+5=0

x=0 or x=−5

3=log(n)=2

answer a: product property

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: