The ordered pairs (1,1) , (2,16) , (3,81), (4,256) and (5,626) represent a function . what is a rule that represents this function a. y=4^x b. y=4x c. x^4 d. y=x+4

C

Step-by-step explanation:

The numbers that are in pairs the first number raised to power 4 it becomes the second number that it is paired with it.

1^4 = 1 (1,1)

2^4 = 16 (2,16)

3^4 = 81 (3,81)

4^4 = 256 (4,256)

5^4 = 625 (5,625)

the answer is 24

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .