Find the power function that the graph of f resembles for large values of |x|.f(x) = 9x - x3
A. y = x3
B. y = -x3
C. y = x4
D. y = x2
Answer: B
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The equation of an ellipse is given. Put the equation in standard form and sketch the ellipse.49x2 + 4y2 = 196
A. +
= 1
B. +
= 1
C. +
= 1
D. +
= 1
Measurements are made at two different times. Find the absolute change and then find the percentage change. Round answers to the nearest tenth if necessary.Two years ago I earned $87,000. Last year I earned $60,000.
A. Absolute change: $-27,000 Percentage change: -45% B. Absolute change: $27,000 Percentage change: 45% C. Absolute change: $27,000 Percentage change: 31% D. Absolute change: $-27,000 Percentage change: -31%
Convert to an exponential equation.log 10,000,000 = 7
A. 107 = 10,000,000 B. 10,000,00010 = 7 C. 710 = 10,000,000 D. 10,000,0007 = 10
State the dual problem. Use y1, y2, y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0, y3 ? 0, and y4Minimizew = 2x1 + 3x2 + x3subject to:x1 + 3x2 + 2x3 ? 35 2x1 + 4x2 + 3x3 ? 50 x1 ? 0, x2 ? 0, x3 ? 0
A. Maximize z = 50y1 + 35y2
subject to: | 2y1 + y2 ? 2 |
3y1 + 2y2 ? 1
B.
Maximize | z = 35y1 + 50y2 |
subject to: | y1 + 2y2 ? 2 |
2y1 + 3y2 ? 1
C. Maximize z = 50y1 + 35y2
subject to: | 2y1 + y2 ? 2 |
3y1 + 2y2 ? 1
D.
Maximize | z = 35y1 + 50y2 |
subject to: | y1 + 2y2 ? 2 |
2y1 + 3y2 ? 1