Solve the compound inequality. Other than ?, use interval notation to express the solution set and graph the solution set on a number line.-4 ? -4x - 12 < 4

A. (-4, -2]

B. (-?, -4) or [-2, ?)

C. [-4, -2)

D. (-?, -4]


Answer: A

Mathematics

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Rotate the coordinate axes to change the given equation into an equation which has no cross product (xy) term. Identify the graph of the equation as a hyperbola, ellipse, parabola, a straight line, or parallel lines.5x2 + 6xy + 5y2  = 15

A. 8u2  + 2v - 15 = 0; Parabola B. 8u2 - 2v2 - 15 = 0; Hyperbola C. 8u2 + 2v2 - 15 = 0; Ellipse D. 8u2 + 2u - 15 = 0; Parallel lines

Mathematics

Find an equation of a line satisfying the following conditions.Vertical, passing through (-3, 4)

A. x = -3 B. y = 4 C. y = -3 D. x = 4

Mathematics

Simplify the expression. Assume that variables represent nonzero numbers.(x8y9)3 

A. x24y27 B. x11y12 C. x8y27 D. x24y9

Mathematics

Graph using a graphing utility and identify the x- and y-intercepts from the graph. Use the indicated graphing window dimensions.x - 3y = 6 (window size [-10, 10, 1] by [-10, 10, 1])

A. x-intercept = -3; y-intercept = -

B. x-intercept = -6; y-intercept = -2

C. x-intercept = 6; y-intercept = -2

D. x-intercept = -2; y-intercept = 6

Mathematics