Factor completely.32a4b - 98b3

A. 2b(4a + 7b)2
B. 2b(4a2 + 7b)(4a2 - 7b)
C. 2b(4a - 7b)2
D. (8a + 14b)(4ab - 7b2)


Answer: B

Mathematics

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Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.The sum of four times a number and 4 is equal to the difference of twice the number and 8. Find the number.

A. 4x + 4 = 2x - 8; 6 B. 4x + 4 = 2x + 8; 2 C. 4x + 4 = 2x - 8; - 6 D. 4(x + 4) = 2x - 8; - 12

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Use a calculator to approximate the logarithm to four decimal places.ln 0.993

A. -0.0070 B. 0.0070 C. 0.0031 D. -0.0031

Mathematics

Simplify. 

A.
B.
C.
D.

Mathematics

Express as a single logarithm and, if possible, simplify.ln w - 3[4ln (w - 4) - ln (w + 4)]

A. ln 
B. ln 
C. ln 
D. ln 

Mathematics