A server in a restaurant earns a fixed hourly salary plus tips, which depend on the bill amount of the meal he serves. He estimated that the average amount he earns in an hour can be modeled by the equation Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. where x is the total value of the meals he serves in an hour. Which statement represents the correct interpretation of this equation

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the areas of two similar triangles are 18 cm2 and 8 cm2. one of the sides of the first triangle is 4.5 cm. what is the length of the corresponding side of the other triangle?

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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