Find the domain of the rational expression.

A. {x|x is a real number and x ? 7}
B. {x|x is a real number}
C. {x|x is a real number and x ? 3}
D. {x|x is a real number and x ? 3 and x ? 7}


Answer: B

Mathematics

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Evaluate the integral.

A.
B. 63
C. 49
D.

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Solve the triangle. Round the answer to the nearest tenth. 

A. a ? 3.0, B = 30°, C = 90° B. a ? 3.5, B = 35°, C = 85° C. a ? 3.8, B = 28°, C = 92° D. a ? 3.5, B = 30°, C = 90°

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Find the intercepts of the circle. Round to the nearest hundredth, when necessary.(x - 5)2 + (y - 6)2 = 9

A. The two x-intercepts are x = 8 and x = -8, and the two y-intercepts are y = 3 and y = -3. B. The x-intercept is x = 5, and the y-intercept is y = -9. C. The two x-intercepts are x = 5 and x = -5, and the two y-intercepts are y = 3 and y = -3. D. There are no intercepts.

Mathematics

Determine if each ordered pair is a solution to the given system of inequalities in two variables.xy = 54x2 + y2 = 117(i) (6, -9); (ii) (-9, -6)

A. (i) Yes; (ii) No B. (i) No; (ii) Yes C. (i) No; (ii) No D. (i) Yes; (ii) Yes

Mathematics