Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. 6(x + 6) = 6x - 72
A. {0}
B. {72}
C. ?
D. {x|x is a real number}
Answer: C
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Divide the rational expression. Express the quotient as a rational expression in lowest terms.
A.
B. 28
C.
D. 1
Solve the following system by any appropriate method. If there is no real number solution, so state.2x2 - 2y2 = 102x2 + 5y2 = 38
A. (3, 2), (2, 3), (-3, -2), (-2, -3) B. (3, -2), (3, 2) C. (-3, -2), (-2, -3) D. (3, 2), (3, -2), (-3, 2), (-3, -2)
Decide whether the composite functions, f ? g and g ? f, are equal to x.f(x) = 4x, g(x) =
A. No, yes B. Yes, yes C. Yes, no D. No, no
Solve the problem.A wire 20 feet long is to be cut into two pieces. One piece will be shaped as a square and the other piece will be shaped as an equilateral triangle. Express the total area A enclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle. What is the domain of A?
What will be an ideal response?