Provide an appropriate response.A colleague asserts that a calculation of the average rate of change of y with respect to x from  to will always be only an approximation to the instantaneous rate of change at  Do you agree with this assertion? Explain your answer using graphs or examples.

What will be an ideal response?


No. If y = f(x) is a line, then the average and instantaneous rates of change are identical.

Mathematics

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Graph the linear equation using the point-plotting method.y = -3x

A.

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Mathematics

For the given pair of points, find the equation of the line  that goes through the points by solving a system of equations.(-9, -7) and (-7, -3)

A. y = 4x + 11 B. y = 2x + 11 C. y = 2x - 25 D. y = 2x - 7

Mathematics

Solve the problem.In the following formula, f(x) is the minimum number of hours of studying required to attain a test score of x: At least how many hours of study are needed to score 94 on the test? Round to the nearest hundredth.

A. 47.70 hr B. 4.77 hr C. 14.51 hr D. 100.15 hr

Mathematics

Simplify by removing grouping symbols and combining like terms.2[6(2x - y ) - 6(x + 6y)]

A. 12x + 60y B. 18x - 48y C. 12x + 10y D. 12x - 84y

Mathematics