Fthe value of x decreases by 6, how does the value of m(x + 9) change?

start with y= m(x+9)

Use the distributive property:

y= mx+9m

Now you want x to decrease by 6:

so y ' = m(x-6) + 9m

Use distributive property again:

y'= mx - 6m + 9m

y' = (mx+9m) - 6m

y' = y - 6m

So the value of y decreases by 6m.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²