Solve the problem.City residents were surveyed concerning their preferences for candidates Moore and Allen in an upcoming election. Of the 800 respondents, 300 support neither Moore nor Allen, 100 support both Moore and Allen, and 250 support only Moore. How many residents support Allen?

A. 250
B. 400
C. 150
D. 100


Answer: A

Mathematics

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Determine if the ordered pair is a solution to the system of linear inequalities in two variables.(1, -4)

A. Yes B. No

Mathematics

For f (x) = 5x2 ? 2 , find the simplified difference quotient.

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Mathematics

Start with the given graph of y.  a) Describe a sequence of transformations that results in the graph of g(x);  b) Find the range of g(x);  c) Find the horizontal asymptote of the graph of g(x).y = 3x; g(x) = -5(33 - 5x) + 4

A. a) The graph of y = 3x is compressed horizontally by a factor of , reflected in the y-axis, shifted  unit to the right, stretched vertically by a factor of 5, and shifted four units up.
b) (4, ?)
c) y = 4
B. a) The graph of y = 3x is compressed horizontally by a factor of , shifted  units to the right, stretched vertically by a factor of 5, reflected in the x-axis, and shifted four units up.
b) (-?, 4)
c) y = 4
C. a) The graph of y = 3x is compressed horizontally by a factor of , reflected in the y-axis, shifted  unit to the right, stretched vertically by a factor of 5, reflected in the x-axis, and shifted four units up.
b) (-?, 4)
c) y = 4
D. a) The graph of y = 3x is compressed horizontally by a factor of , reflected in the y-axis, shifted  unit to the left, stretched vertically by a factor of 5, reflected in the x-axis, and shifted four units down.
b) (-?, -4)
c) y = -4)

Mathematics

Verify the identity.sec4 x - tan4 x = sec2 x + tan2 x

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Mathematics