Answer the question.In a fraction, the number that is written below the fraction bar is called the  ? .

A. difference
B. denominator
C. quotient
D. numerator


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

Find the indicated function value.f(x) = 3x2 - 6x - 9, g(x) = 7x + 9Find (f + g)(5).

A. 220 B. 80 C. 256 D. -70

Mathematics

Establish the identity. = tan(2?) 

What will be an ideal response?

Mathematics

Solve the problem.f(x) = 3x + 4 and g(x) = 3-x + 6 .Find the point of intersection of the graphs of f and g by solving f(x) = g(x).

A. (1, 243) B. (81, 1) C. (243, 1) D. (1, 81)

Mathematics