In the graph, the area below f(x) is shaded and labeled a, the area below g(x) is shaded and labeled b, and the area where f(x) and g(x) have shading in common is labeled ab. graph of two intersecting lines. one line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded above the line. the other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded in below the line. the graph represents which system of inequalities? y ≤ −3x − 1 y ≤ −x − 4 y ≥ −3x + 1 y ≤ −x − 4 y ≤ 3x − 1 y ≤ −x + 4 y ≤ 3x − 1 y ≥ −x + 4

D

Step-by-step explanation:

y ≤ 3x − 1

y ≥ −x + 4

the answer is 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.

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step-by-step explanation: