Which equation is true for the value b = 10?

a 2(b + 4) = 16

b 2(b + 2) = 40

c 3(b – 2) = 24

d 2(8 + b)

which equation is true for the value b = 10?

Option C. 3(b - 2) = 24

Step-by-step explanation:

To solve this question we will put the value of b = 10 in each option.

Option A.

2(b + 4) = 2(10 + 4) = 2(14) = 28

Therefore this option is not correct.

Option B.

2(b + 2) = 2(10 + 2) = 2×12 = 24

Therefore this option is not correct.

Option C.

3(b -2) = 3(10 - 2) = 3×8 = 24

For b = 10 the given option is correct.

Option D.

2(8 + b) = 2(8 + 10) = 2×18 = 36

Option C. is the correct option.

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.