Solve the linear inequality. Graph the solution set on a number line, and express the solution using interval notation.-4(4x + 3) < -20x + 16

A. (-?, -1]

B. (-?, 7)

C. (-?, 7]

D. (7, ?)


Answer: B

Mathematics

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Using Green's Theorem, calculate the area of the indicated region.The astroid r(t) = (8 cos 3t)i + (8 sin3 t)j, 0 ? t ? 2?

A. 12? B. 2? C. 48? D. 24?

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Find the first five terms of the infinite sequence whose nth term is given.an = 2n

A. 1, 2, 4, 8, 16 B. 1, 4, 9, 16, 25 C. 2, 4, 8, 16, 32 D. 4, 8, 16, 32, 64

Mathematics

Solve the problem.A marina owner wishes to estimate a linear function that relates boat length in feet and its draft (depth of boat below water line) in feet. He collects the following data. Let boat length represent the independent variable and draft represent the dependent variable. Use a graphing utility to draw a scatter diagram and to find the line of best fit. What is the draft for a boat 60 ft in length (to the nearest tenth)? 

A. 10.3 B. 10.5 C. 9.7 D. 15.7

Mathematics

Provide an appropriate response.The equation of a circle can be written in the form x2 + y2 = r2. Is this a function? Explain.

What will be an ideal response?

Mathematics