Which of the following operations could you perform on both sides of the given equation to solve it? check all that apply. 8x - 6 = 2x + 24

answer: 205 lbs

here are all the answers

step-by-step explanation:

answer:

f(x) = -3x > #6

f(x) = |x-1|+3 > #5

f(x) = √(x+3) > #3

1/2x² > #1

f(x) = (x+1)²-3 > #4

4|x|> #2

step-by-step explanation:

recall for transformations:

f(x) = -3x

this is multiplication by a number greater than 1 and a negative so this stretches and flip. this is #6, a reflection.

f(x) = |x-1|+3

subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. this is #5.

f(x) = √(x+3)

addition inside the function shifts it to the left 3. this is #3

1/2x²

multiplication by 1/2 which is less than 1 compresses it. this is #1.

f(x) = (x+1)²-3

addition inside the function shifts the function to the left once. this is #4.

4|x|

multiplying by 4, a number greater than 1, stretches it. this is #2.

let w represent lizette's walking speed. then her running speed is w+6. the relationship between speed, time, and distance is

  distance = speed × time

lizette ran for 1.5 hours, then walked for 3 hours. her total distance is

  (w+6)·1.5 + w·3 = 18

  4.5w + 9 = 18 . . . simplify

  4.5w = 9 . . . . . subtract 9

  w = 2 . . . . . . divide by 4.5

lizette's walking speed is 2 mph; her running speed is 8 mph.