Solve using artificial variables.Minimizew = 5x1 + 2x2subject to:x1 + x2 = 10 3x1 + x2 ? 18 x1 + 2x2 ? 12 x1 ? 0, x2 ? 0
A. Minimum is 44 for x1 = 8, x2 = 2
B. Minimum is 41 for x1 = 7, x2 = 3
C. Minimum is 32 for x1 = 4, x2 = 6
D. Minimum is 20 for x1 = 0, x2 = 10
Answer: A
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Find the standard equation of the indicated hyperbola.Center (-4, 3), focus (-4, 9), vertex (-4, 6)
A. 
- 
= 1
B. 
- 
= 1
C. 
+ 
= 1
D. 
- 
= 1
Determine algebraically whether the function is even, odd, or neither even nor odd.f(x) = 
A. Even B. Odd C. Neither
Solve the following.Find all points of the graph of f(x) = 2x2 + 6x whose tangent lines are parallel to the line y - 18x = 0.
A. (3, 36) B. (6, 108) C. (4, 56) D. (5, 80)
Solve the problem.Suppose that during a certain step in a chemical manufacturing process the amount of hydrogen chloride dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. Make a scatter diagram of the data. What is happening to the amount of hydrogen chloride in solution during this time frame?
A. The amount of hydrogen chloride dissolved
increased as time elapsed.
B. The amount of hydrogen chloride dissolved
increased as time elapsed.
C. The amount of hydrogen chloride dissolved
decreased as time elapsed.
D. The amount of hydrogen chloride dissolved
increased as time elapsed.