The equations y = 2x – 5 and y = V3x – 1 are graphed on the coordinate grid. -8
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How many real solutions does the equation 31 - 1 = 21 - 5 have?
O A. 0
OB. 1
C. 2
D.
cannot be determined from the graph

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.