12z - 3 > 27z- 15

Answer terms in mixed number.

Step-by-step explanation:

12z - 3 > 27z - 15

-15z - 3 > -15

-15z > -12

z < 12/15= 4/5

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.