Give all solutions of the nonlinear system of equations, including those with nonreal complex components.xy = 142x - y = -1

A.
B.
C. {(-7, 7), (6, -6)}
D.


Answer: D

Mathematics

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Economists define the disposable annual income for an individual by the equation D = (1 - r)T, where T is the individual's total income and r is the net rate at which he or she is taxed. What is the disposable income for an individual whose income is $20,000 and whose net tax rate is 31%? ? 

A. $6,200 B. $47,600 C. $20,000 D. $13,800 E. $33,800

Mathematics

The graph of a function f is given. Use the graph to answer the question. Find the numbers, if any, at which f has a local minimum. What are the local maxima?

A. f has a local maximum at x = -2.5 and 5; the local maximum at -2.5 is -3.3; the local maximum at 5 is -2.5 B. f has a local minimum at x = -3.3 and -2.5; the local minimum at -3.3 is -2.5; the local minimum at -2.5 is 5 C. f has a local minimum at x = -2.5 and 5; the local minimum at -2.5 is -3.3; the local minimum at 5 is -2.5 D. f has a local maximum at x = -3.3 and -2.5; the local maximum at -3.3 is -2.5; the local maximum at -2.5 is 5

Mathematics

Solve the problem.A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a 20% grade, or slope. If the vertical height at the end of the ramp must be 11 ft to assure that the stunt is a success, what must be the length of the horizontal run?

A. 55 ft B. 1.98 ft C. 11 ft D. 198 ft

Mathematics

Plot a scatter diagram.Draw a scatter diagram of the given data. Find the equation of the line containing the points  and  Graph the line on the scatter diagram.

A. y = 2x + 12.3

B. y = -2x + 12.3

C. y = -2.2x + 12.8

D. y = -1.53x + 10.14

Mathematics