Solve pls brainliest

27 / 64

Step-by-step explanation:

given = ( 3/4 )³

         = ( 3/4 ) ( 3/4 ) ( 3/4 )

         =  ( 3 * 3 * 3 ) / ( 4 * 4 * 4)

         = 27 / 64

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.