-Solve: |x/6-7/12|=11/6 Negative direction: x/6-7/13= -11/6 X/6 = -15/2 Positive direction: x/6-7/13=11/6 X/6=29/12. -Determine the values for 'x' by completing the steps shown. •X=29/2 or X= -15/2 •X= -29/2 or X=15/2 •X= -29/2 or X= -15/2. •X=29/2 or X=15/2

step-by-step explanation:

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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.