Algebra
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Various Algebra Questions. See attached file for full problem description.
1. Simplify: . Show work.
2. Simplify: Show work. Give the exact answer (including a radical).
3. (a) Is the graph of a circle a graph of a function? (Yes or no)
(b) Find the center and the radius of the circle represented by the equation
x2 + y2 + 10x - 4y - 7 = 0
4. Let .
(a) Find g(-1)
(b) Find g(t + 1) and simplify.
(c) Find the domain of the function
5. Acme Electric Company's monthly bill includes a basic customer charge of $12.00, and a usage charge of $0.07 for each kilowatt hour of electricity supplied.
(a) Write an equation that can be used to determine the monthly bill, given the number of kilowatt hours h supplied.
(b) Determine the electric bill if 1850 kilowatt hours of electricity are supplied.
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Solution Summary
Various Algebra Questions (simplifying radicals, expressions, graphing etc.) are answered.
Solution Preview
Please see the attached file.
1. Simplify: . Show work.
1 - 2/x = (x - 2)/x
x - 4/x = (x2 - 4) /x
=(x - 2)(x + 2)/x
(1 - 2/x) / (x - 4/x) = ((x - 2)/x)/( (x - 2)(x + 2)/x)
= 1/(x + 2)
2. Simplify: Show work. Give the exact answer (including a radical).
√50 = √25 * 2
= 5 √2
√18 = √9 * 2
= 3 √2
Then
5 √2 + 3 √2 - 7 √2 = √2
3. (a) Is the graph of ...
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