-1/2 divided by -1 3/8

8/10

Step-by-step explanation:

-1/2 ➗ -1 3/8

-1/2 ➗ -5/8

-1/2 x -8/5

(-1 x -8)/(2 x 5)

8/10

3 is greater then both of those numbers

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.