Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?

B

Step-by-step explanation:

3(8-4x)<6(x-5)

(distribute)

24-12x<6x-30

(add 30 to both sides)

54-12x<6x

(add 12 to both sides)

54<18x

(divide both sides by 18)

3<x (same as x>3)

this is read as x is greater than 3, which means your arrow is going to point towards the numbers bigger than 3.

answer:

125 yards

explanation:

75+50=125. that is my answer

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.