Figure out x for the following:
a) 5x + 2 = 22
b) 2(5x - 3) = 50
c) 5(2x + 1) = 50

4, 5.6, 4.5

Step-by-step explanation:

a:

5x + 2 = 22

5x = 20

x = 4

b:

2(5x-3) = 50

10x - 6 = 50

10x = 56

x = 5.6

c:

5(2x + 1) = 50

10x + 5 = 50

10x = 45

x = 4.5

Step-by-step explanation:

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.