Solve the problem.Find the vertices and asymptotes of the following hyperbola: -  = 1

A. Vertices: (4, 0), (-4, 0); Asymptotes: y = ± x
B. Vertices: (0, 4), (0, -4); Asymptotes: y = ± x
C. Vertices: (0, 4), (0, -4); Asymptotes: y = ± 4x
D. Vertices: (0, 16), (0, -16); Asymptotes: y = ± x


Answer: B

Mathematics

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Translate the situation into mathematical language. You need not actually solve the problem.Find two consecutive integers such that 3 times the first plus 7 times the second is 107.

A. Let h be the first integer; 7h(3(h + 1)) = 107 B. Let h be the first integer; 3h + 7(h + 1) = 107 C. Let h be the first integer; 7h + 3(h + 1) = 107 D. Let h be the first integer; 3h - 7(h + 1) = 107

Mathematics

Match the equation to the graph. -  = 1

A.

B.

C.

D.

Mathematics

Evaluate the expression.|13| - |-18|

A. 31 B. -31 C. -5 D. 5

Mathematics

Let f(x) = ex. For the function g, find A satisfying g(x) = f(Ax), and describe how the graph of f is transformed to be identical to the graph of g. g(x) = x

A. A = ln ; Transform the graph of f by a horizontal scale transformation with factor  = .
B. A = ln 4; Transform the graph of f by a horizontal scale transformation with factor A = ln 4.
C. A = ln 4; Transform the graph of f by a horizontal scale transformation with factor  = .
D. A = ln ; Transform the graph of f by a horizontal scale transformation with factor A = ln .

Mathematics