Chapter 11: Problem 20
Simplify the expression if possible. $$\frac{2 x^{2}+11 x-6}{x+6}$$
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Simplify the expression. $$\frac{11}{6 x}+\frac{2}{13 x}$$
Sketch the graph of the function. $$y=4 x^{2}-x+6$$
When you add rational expressions, you may need to factor a trinomial to find the LCD. Study the sample below. Then simplify the expressions in Exercises 46–49. $$\text { Sample: } \frac{2 x}{x^{2}-1}+\frac{3}{x^{2}+x-2}=\frac{2 x}{(x+1)(x-1)}+\frac{3}{(x-1)(x+2)}$$ The LCD is \((x+1)(x-1)(x+2)\) Note: If you just used \(\left(x^{2}-1\right)\left(x^{2}+x-2\right)\) as the common denominator, the factor \((x-1)\) would be included twice. $$\frac{5 x-1}{2 x^{2}-7 x-15}-\frac{-3 x+4}{2 x^{2}+5 x+3}$$
Make a scatter plot of the data. Then tell whether a linear, exponential, or quadratic model fits the data. (Review 9.81) $$(-5,6),(-4,3),(-2,-3),(-1,-6),(0,-9),(1,-12)$$
You are making a 350 -mile car trip. You decide to drive a little faster to save time. Choose an expression for the time saved if the car's average speed \(s\) is increased by 5 miles per hour. $$\begin{array}{lllll} \text { (A) } \frac{350}{s+5} & \text { (B) } \frac{s+5}{350}-\frac{s}{350} & \text { (C) } \frac{350}{s}-\frac{350}{s+5} & \text { (D } 350(s+5)-350 s \end{array}$$
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