Use graphical methods to find values of x and y satisfying the given conditions. Find the value of the maximum or minimum.Find x ? 0 and y ? 0 such that2x - 4y ? 10 2x + y ? 15 and z = 4x + 5y is minimized.
A. Minimum of 20 when x = 5 and y = 0
B. Minimum of 39 when x = 1 and y = 7
C. Minimum of 75 when x = 0 and y = 15
D. Minimum of 33 when x = 7 and y = 1
Answer: D
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Convert the decimal to the given base.329 to base six
A. 1530six B. 135six C. 1305six D. 1350six
Solve the problem. Round your answer, if appropriate.Boyle's law states that if the temperature of a gas remains constant, then PV = c, where 
, 
, and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 10 in. 3/sec, at what rate is P increasing when P = 20 lb/in.2 and V = 70 in.3? (Do not round your answer.)
A. 
lb/in.2 per sec
B. 
lb/in.2 per sec
C. 140 lb/in.2 per sec
D. 35 lb/in.2 per sec
Use Bayes' rule to find the indicated probability.Two stores sell a certain MP3 players. Store A has 34% of the sales, 5% of which are of defective items, and store B has 66% of the sales, 1% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B?
A. 0.275 B. 0.22 C. 0.5667 D. 0.7083
Find the x- and y-intercepts. Then graph the equation.6x - 12y = 12
A. (-2, 0); (0, 1)
B. (1, 0); (0, -2)
C. (-1, 0); (0, 2)
D. (2, 0); (0, -1)