If y varies directly with x, find the missing value below. (9, 36) and (x, -24) Then enter only your numerical answer (without units) below to check.

x = - 6

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use (9, 36), that is x = 9, y = 36

36 = 9k ( divide both sides by 9 )

4 = k

y = 4x ← equation of variation

Using (x, - 24 ), that is find x when y = - 24

- 24 = 4x ( divide both sides by 4 )

x = - 6

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.