Match the polynomial with its binomial factors.7x2 + 32x + 16
A. (x + 4)(x + 4)
B. (7x - 12)(x + 4)
C. (7x + 4)(x + 4)
D. (x - 12)(x + 4)
Answer: C
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Solve using the elimination method. x + 9y = 352x + 9y = 34
A. (1, 3) B. No solution C. (-1, 4) D. (0, -1)
Solve the problem. Use a FICA rate of 6.2%, a Medicare rate of 1.45%, and an SDI rate of 1%. Assume the person's earnings will not exceed $31,800 for the year. Round to the nearest cent if needed.Todd Bennett worked 44.5 hours last week at Eck Builders, a construction company. He is paid $11.00 per hour, plus time-and-a-half for overtime. Find his Social Security tax and Medicare tax for the week.
A. $27.28, $6.38 B. $30.35, $7.10 C. $31.88, $7.46 D. $45.52, $10.65
Use synthetic division to divide f(x) by x - k for the given value of k. Then express f(x) in the form for the given value of k.f(x) = 2x5 - x4 + 3x2 - x + 5; k = 1
A. f(x) = (x - 1)(2x4 + x3 + x2 + 4x + 3) + 8 B. f(x) = (x - 1)(2x4 + x3 + 4x2 + 3x) + 8 C. f(x) = (x - 1)(2x4 - 3x3 - x) + 6 D. f(x) = (x - 1)(2x4 + x3 - x2 + 2x + 1) + 6
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2