Express the product as a sum or difference.cos 3x cos 6x

A. (cos 9x - cos 3x)
B. cos2 12x2
C. (cos 9x - sin 3x)
D. (cos 3x + cos 9x)


Answer: D

Mathematics

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Find the center, radius, and intercepts of the circle.x2 + y2 - 2x + 4y - 7 = 0

A. (h, k) = (1, -2), r = 2
x-int: x = 1 ± 2; y-int: y = -2 ± 
B. (h, k) = (-1, 2), r = 12
x-int: x = 1 + 2; y-int: y = -2 + 
C. (h, k) = (-1, -2), r = 2
x-int: x = 1 + 2; y-int: y = -2 + 
D. (h, k) = (1, -2), r = 2
x-int: x = -1 ± 2; y-int: y =2 ± 

Mathematics

Use a calculator with a  key to solve the problem.The function f(x) = 90e-0.2x + 10 models the percentage of information, f(x), that a particular person remembers x weeks after learning the information. a) Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it is first learned. b) Find the percentage of information that is remembered after 4 weeks. Round to the nearest thousandth of a percent.

A. a) 10%; b) 10.449% B. a) 50%; b) 210.299% C. a) 90%; b) 40.440% D. a) 100%; b) 50.440%

Mathematics

Identify the number as prime or composite.181

A. Prime B. Composite

Mathematics

Write an equation for the hyperbola.x-intercepts (±5, 0); center at origin; passing through (5, 6)

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

Mathematics