Multiply.
2
A. 81z2 + 2z
B. 81z2 + 2z + 
C. 
z2 - 2z + 81
D. 81z2 - 
z - 
Answer: B
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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.
Solve.Find the unknown side.V = 660 ft3 
A. W = 1 ft B. W = 2 ft C. W = 20 ft D. W = 4 ft
Solve the application problem by adding integers.The following shows a summary of Marco's bank account activity over the past month. Add the values in the Amount column to find his current balance. 
A. $1710 B. $514 C. $1092 D. $2288
State the dual problem. Use y1, y2, and y3 as the variables. Given: y1 ? 0, y2 ? 0, and y3
Minimizew = 2x1 + 3x2 + x3subject to:x1 + 3x2 + 2x3 ? 41 2x1 + 4x2 + 3x3 ? 57 x1 ? 0, x2 ? 0, x3 ? 0
A.
| Maximize | z = 41y1 + 57y2 |
| subject to: | y1 + 2y2 ? 2 |
2y1 + 3y2 ? 1
B. Maximize z = 57y1 + 41y2
| subject to: | 2y1 + y2 ? 2 |
3y1 + 2y2 ? 1
C. Maximize z = 57y1 + 41y2
| subject to: | 2y1 + y2 ? 2 |
3y1 + 2y2 ? 1
D.
| Maximize | z = 41y1 + 57y2 |
| subject to: | y1 + 2y2 ? 2 |
2y1 + 3y2 ? 1