Factor completely, or state that the polynomial is prime.6x3 - 6
A. 6(x3 - 1)
B. 6(x - 1)(x2 + x + 1)
C. 6(x + 1)(x2 - x + 1)
D. prime
Answer: B
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Find the center of mass of a thin plate covering the given region with the given density function.The region enclosed by the parabolas y = 32 - x2 and y = x2, with density ?(x) = x2
A. = 0,
= 16
B. = 0,
= 32
C. = 0,
=
D. = 16,
= 0
Solve the problem.The following map shows the states Kentucky, Tennessee, Missouri, Iowa, and Nebraska. Find a route that starts and ends in Missouri and crosses each common state border exactly one time.
A. MO ? KY ? TN ? MO ? IA ? NE ? MO B. MO ? NE ? IA ? MO ? TN ? KY C. MO ? KY ? TN ? MO ? IA ? NE D. No such route exists.
Multiply.
A. 208 B. 108 C. 98 D. 101
Write the complex number in rectangular form using exact values if possible. Otherwise, round to one decimal place.3(cos 123° + i sin 123°)
A. 0.9 - 1.5i B. 2.5 - 1.6i C. -0.9 + 1.5i D. -1.6 + 2.5i