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.
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Graph the linear equation using the point-plotting method.y = -3x
A.
B.
C.
D.
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
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
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