Factor out the greatest common factor.16x9y6 + 32x3y4 + 24x6y2
A. Prime polynomial
B. 8x3y2(2x6y4 + 4y2 + 3x3)
C. 8x3(2x6y6 + 4y4 + 3x3y2)
D. 8(2x9y6 + 4x3y4 + 3x6y2)
Answer: B
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Find the root. Round to three decimal places if necessary.
A. 417.5 B. 6.073 C. 6.393 D. 40.866
Solve each of the following systems of equations. If the system is inconsistent or dependent, say so.-3x - 4y = 46x + 8y = 8
A. (-12, -16) B. (12, 16) C. Dependent D. Inconsistent
Determine the vertex, focus, and directrix of the parabola and sketch its graph.(x - 1)2 = 8(y + 3)
A. vertex: (1, -3)
focus: (1, -5)
directrix: y = -1
B. vertex: (-3, 1)
focus: (-3, 3)
directrix: y = -1
C. vertex: (1, -3)
focus: (1, -1)
directrix: y = -5
D. vertex: (-1, 3)
focus: (-1, 5)
directrix: y = 1
Solve the problem.A leading electronics manufacturer guarantees the buyer that their purchase will have no defects. If the purchased item is later shown to be defective, the buyer can receive a full refund along with a 20% discount on their next purchase. Let d represent "The purchase contains no defects," r represent "The buyer will receive a full refund," and q represent "The buyer will receive a 20% discount on their next purchase." Write the guarantee symbolically.
A. d ? (r ? q) B. ~d ? (r ? q) C. d ? (r ? q) D. (d ? r ? q)