Factor completely. If unfactorable, indicate that the polynomial is prime.72a4b - 98b3

A. 2b(6a - 7b)2
B. 2b(6a + 7b)2
C. (12a + 14b)(6ab - 7b2)
D. 2b(6a2 + 7b)(6a2 - 7b)


Answer: D

Mathematics

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Establish the identity.cos(x - y) - cos(x + y) = 2 sin x sin y

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Solve the problem. Round your answer to the nearest tenth unless indicated otherwise.Would you be liable to get a traffic ticket traveling at 60 mph in a 55-kph speed zone? If so, by what amount in miles per hour would you have exceeded the limit? Round your result to the nearest mile per hour.

A. No. B. Yes. 42 mph C. Yes. 97 mph D. Yes. 26 mph

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Check the answer. If incorrect, give the correct answer.

A. Incorrect; should be 89 R5 B. Incorrect; should be 90 R6 C. Correct D. Incorrect; should be 90 R4

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Solve.A company has 63,000 employees. Of these,  drive alone to work,  car pool,  use public transportation,  cycle, and the remainder use other methods of transportation. How many employees use each method of transportation?

A. Drive alone: 2,100; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
B. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
C. Drive alone: 21,100; car pool: 10,500; public transportation: 8,900; cycle: 7,000; other: 1000
D. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 

Mathematics