Perform the indicated operations.(2x + y - z)2
A. 4x2 + y2 + z2 - 2xyz
B. 4x2 + y2 + z2 + 2xy - 2xz - 2yz
C. 4x2 + y2 + z2
D. 4x2 + y2 + z2 + 4xy - 4xz - 2yz
Answer: D
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Use the information below to determine the cardinality of the set. U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}n(A' ? B ? C)
A. 0 B. 2 C. 1 D. 3
Solve the problem.The number of households in Country X with personal computers (PCs) and the total number of households in Country X are shown in the table below for various years.Households with Personal Computers (Millions)YearHouseholds with PCs Total Households200528.2195.5200930.4598.0201149.80100.5201559.82102.2201767.42114.0Let C(t) be the number (in millions) of households in Country X with PCs and H(t) be the total number (in millions) of households in Country X, both at t years since 2002. (i) Find equations of C and H.(ii) Estimate when fewer than 40% of households in Country X had PCs.
A. (i) C(t) = 3.67t + 9.63; H(t) = 4.30t + 52.37; (ii) Before 2005, fewer than 40% of households in Country X had PCs. B. (i) C(t) = 5.53t + 12.86; H(t) = 2.53t + 79.41; (ii) Before 2012, fewer than 40% of households in Country X had PCs. C. (i) C(t) = 4.81t + 16.01; H(t) = 0.99t + 68.42; (ii) Before 2014, fewer than 40% of households in Country X had PCs. D. (i) C(t) = 3.50t + 14.22; H(t) = 1.31t + 89.70; (ii) Before 2009, fewer than 40% of households in Country X had PCs.
Simplify.(72 - 2) ? 4
A. 100 B. 140 C. 188 D. 41
Determine the real solutions to the system of nonlinear equations.x2 - 3y2 - 1 = 04x2 + 3y2 - 19 = 0
A. (2, 1), (2, -1), (-2, 1), (-2, -1) B. (-1, 2), (1, -2) C. (1, 2), (-1, 2), (1, -2), (-1, -2) D. (2, 1), (-2, -1)