Factor the expression completely. If the polynomial is prime, state this as your answer.a3b3 + 125

A. (ab - 5)(a2b2 + 25)
B. (ab + 5)(a2b2 - 5ab + 25)
C. (ab + 5)(a2b2 - 25)
D. (ab - 5)(a2b2 + 5ab + 25)


Answer: B

Mathematics

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Answer each question appropriately.If differentiable functions y = F(x) and y = G(x) both solve the initial value problem     on an interval I, must   for every x in I? Justify the answer.

A. F(x) = G(x) for every x in I because integrating f(x) results in one unique function. B. F(x) and G(x) are not unique. There are infinitely many functions that solve the initial value problem. When solving the problem there is an integration constant C that can be any value. F(x) and G(x) could each have a different constant term. C. F(x) = G(x) for every x in I because when given an initial condition, we can find the integration constant when integrating f(x). Therefore, the particular solution to the initial value problem is unique. D. There is not enough information given to determine if F(x) = G(x).

Mathematics

Write the equation of a line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form.(1, -5); y = 2x - 6

A. y = 2x - 7 B. y = -2x - 3 C. y = 2x + 7 D. y = -2x + 3

Mathematics

Find the standard equation of the indicated hyperbola.Vertices at (0, ±3), foci at (0, ±10)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

Find the value(s) of the expression.the square roots of 0.121

A. -0.11, 0.11 B. -60.5, 60.5 C. 60.5 D. 0.11

Mathematics