Factor completely.
6x²+ 3x - 63
a. 3(2x + 7)(x - 3)
b. (3x + 9)(2x - 7)
c. (6x + 21)(x - 3)
d. 3(2x²+ x - 21)

step-by-step explanation:

hjkj

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.