In the exercise below, the initial substitution of x = a yields the form 0/0. Look for ways to simplify the function algebraically, or use a table and/or graph to determine the limit. When necessary, state that the limit does not exist.

A. 0
B. - 2
C. 3
D. Does not exist


Answer: C

Mathematics

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Suppose that f satisfies the equation of change . The initial value of f is 16. Make a graph of f. Use a horizontal span of 0 to 5.

What will be an ideal response?

Mathematics

Solve.A pipe 4 inches in diameter and 6 feet 10 inches long is three-quarters full of water. If 1 cubic foot of water equals 62.4 pounds, what is the weight of the base of the pipe? Round to the nearest tenth.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Graph the parabola and label the vertex. Find the x-intercept.x = -3(y + 7)2 - 2

A. vertex (2, -7), x-intercept (-149, 0)

B. vertex (-2-7), x-intercept (-145, 0)

C. vertex (-2-7), x-intercept (145, 0)

D. vertex (2, -7), x-intercept (149, 0)

Mathematics

Solve the system of equations algebraically for real values of x and y.

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Please enter your answer as two ordered pairs in the form . The pairs must be separated by a comma.

What will be an ideal response?

Mathematics