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Chapter 7: Problem 48
Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{x^{2}-14 x+49}{x^{2}-49}$$
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use the GRAPH or TABLE feature of a graphing utility to determine if the subtraction has been performed correctly. If the answer is wrong, correct it and then verify your correction using the graphing utility. $$\frac{x^{2}-13}{x+4}-\frac{3}{x+4}=x+4, x \neq-4$$
One pipe can fill a swimming pool in 2 hours, a second can fill the pool in 3 hours, and a third pipe can fill the pool in 4 hours. How many minutes, to the nearest minute, would it take to fill the pool with all three pipes operating?
What is a proportion? Give an example with your description.
determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The difference between two rational expressions with the same denominator can always be simplified.
denominators are opposites, or additive inverses. Add or subtract as indicated. Simplify the result, if possible. $$\frac{x^{2}}{x-3}+\frac{9}{3-x}$$
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