What is the x-coordinate of the point that divides the
directed line segment from kto j into a ratio of 1: 37
nw
k(9,2)
x =
(x2 - xy) + x
31 1 2 3 4 5 6 7 8 9 10 11 12 x
-1
sodooch &
j (1.-10)
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seems like d

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.