Which of these is a factor in this expression? 5{z^4} - 3 + 8\left( {{y^3} + 10} \right)5z4-3+8(y3+10)
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Choice
A.
- 3 + 8\left( {{y^3} + 10} \right)-3+8(y3+10)
B.
5{z^4} - 3534-3
C.
\left( {{y^3} + 10} \right)(93+10)
D.
8\left( {{y^3} + 10} \right)8(93+10)

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.