Solve the following equation

n = 20

Step-by-step explanation:

n/2 - 9 = 1

Add 9 to each side

n/2 -9+9 = 1+9

n/2 = 10

Multiply by 2 on each side

n/2*2 = 10*2

n = 20

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.

the first option is the answer.