Chapter 0: Problem 2
Find all numbers that must be excluded from the domain of each rational expression. $$\frac{13}{x+9}$$
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Chapter 0: Problem 2
Find all numbers that must be excluded from the domain of each rational expression. $$\frac{13}{x+9}$$
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In Exercises 132–135, determine whether each statement makes sense or does not make sense, and explain your reasoning. There are many exponential expressions that are equal to \(36 x^{12},\) such as \(\left(6 x^{6}\right)^{2},\left(6 x^{3}\right)\left(6 x^{9}\right), 36\left(x^{3}\right)^{9},\) and \(6^{2}\left(x^{2}\right)^{6}\)
Simplify using properties of exponents. $$\left(3 x^{\frac{2}{3}}\right)\left(4 x^{\frac{3}{4}}\right)$$
a. Use a calculator to approximate \(\sqrt{300}\) to two decimal places. b. Use a calculator to approximate \(10 \sqrt{3}\) to two decimal places. c. Based on your answers to parts (a) and (b), what can you conclude?
In Exercises 132–135, determine whether each statement makes sense or does not make sense, and explain your reasoning. The population of Colorado is approximately \(4.6 \times 10^{12}\)
Exercises will help you prepare for the material covered in the next section. Evaluate each exponential expression in $$ \frac{x^{30}}{x^{-10}} $$
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