Write as the sum and/or difference of logarithms. Express powers as factors. log12

A.  log1217 - 2 log12q - log12p
B.  log1217 - 2 log12q - 2 log12p
C. 5 log1217 - 2 log12q - log125
D. log1217 - log12q - log12p


Answer: A

Mathematics

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Use the FOIL method to find the product. Express the product in descending powers of the variable.(x - 2)(x2 + 6)

A. x3 + 6x2 - 2x - 12 B. x2 + 4x - 12 C. -2x2 + x - 12 D. x3 - 2x2 + 6x - 12

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Find the exact value of the expression.cos 40° cos 20° - sin 40° sin 20°

A.
B.
C.
D.

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Simplify.

A. 1 B. 11 C. Not defined D. 0

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Solve the problem.During rush hours, substantial traffic congestion is encountered at the intersections shown inthe figure. The arrows indicate one-way streets. As the figure shows, 600 cars per hour come down   to intersection A, and 400 cars per hour come down  to intersection A. x of these cars leave A on  and w cars leave A on  -4.0px;" />  400 in 600 out    900 out 400 in  5th Street 6th StreetThe number of cars entering intersection A must equal the number leaving, so that  or   By writing an equation representing the traffic entering and leaving each of the intersections A, B, C, and D, obtain a system of four equations. Solve the system using w as the parameter.

A. (400 - w, 1100 + w, 1400 - w, w)
B. (1000 - w, 500 + w, 1400 - w, w)
C. (1000 - w, 1100 + w, 500 - w, w)
D. (1000 - w, w - 500, 1400 - w, w)

Mathematics