Given o a ‾ ⊥ o c ‾ oa ⊥ oc start overline, o, a, end overline, \perp, start overline, o, c, end overline m ∠ b o c = 6 x − 6 ∘ m∠boc=6x−6 ∘ m, angle, b, o, c, equals, 6, x, minus, 6, degrees m ∠ a o b = 5 x + 8 ∘

answer: h

step-by-step explanation:

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.