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solving equations and graph the functions

Find all real or imaginary solutions to each equation.

1. 49x2 + 9 = 42x 2. 6x = - 19x + 25
X + 1

3. x - 1 = 2x - 3 4. (w2- 1)2 + 2(w2- 1) = 15
x + 2 x + 4

5. Swimming Pool design. An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the LENGTH and WIDTH dimensions? Assume L is greater than W.

Let f(x) = 2x - 5 and g(x )= x2 + x - 6. Evaluate each expression.
6. f(-3) 7. g( -1/2 )

Graph each function and state the domain and range.
8. Y = 0.3x
9. g(x) = x2 - 2x - 15
10. y = 4 - x2

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It provides detailed explainations to various algebra questions, such as solving equatoins, graphing, and finding the domain and range of the function. The solution is detailed and has a '5/5' rating from the student who originally posted the questions.

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