If the answer is not integer, enter it as a fraction in the simplest from - 3/2 • 8/6 divided by (- 2/15)

15

Step-by-step explanation:

1) multiply  numerator x numerator and denominator x denominator

- 24/12

2) simplify the fraction

-24 : 12 = -2

12 : 12 = 1

-2/1 = -2

3) inverte the therms of -2/15 and change the sign of operation from : to x

- 2 x (-15/2)

4) multiply the numerators remembering that  minus x minus = +

30/2

5) simplify the fraction

30 : 2 = 15

2:2 = 1

15/1 = 15

quit

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.