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    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.

    © BrainMass Inc. brainmass.com March 4, 2021, 7:50 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/various-algebra-questions-126657

    Attachments

    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 ...

    Solution Summary

    Various Algebra Questions (simplifying radicals, expressions, graphing etc.) are answered.

    $2.49

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