If y varies directly as x2 and y=6 when x=6, find the constant of variation.

The constant of variation is 1/6

Step-by-step explanation:

If we have direct variation the formula is

y = kx^2

We know that y = and x=6

6 = k*6^2

6 = k*36

Divide each side by 36

6/36 = k36/36

1/6 =k

The constant of variation is 1/6

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!