The graph shows the solution to a system of inequalities:
the answer choice is with the graph

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.

i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.

its line 2 i just added the rest or else it wouldn't let me answer

the answer is b.6

step-by-step explanation: