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the directions are on the picture!
i need an explanation on how you solved it too.

Didn't flip the greater than sign to lesser than.

Step-by-step explanation: When dividing an inequality by a negative the greater than or less than sign switches.

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 correct answer is $7.38

step-by-step explanation: