91影视

Perform the indicated operation or operations. Simplify the result, if possible. $$\frac{x+6}{x^{2}-4}-\frac{x+3}{x+2}+\frac{x-3}{x-2}$$

Simplify each rational expression. $$\frac{8 x^{2}+4 x+2}{1-8 x^{3}}$$

The quotient $$\frac{x+2}{x-5}+\frac{x-4}{x+3}$$ is undefined for \(x=5, x=-3,\) and $x=4$$

Perform the indicated operation or operations. Simplify the result, if possible. $$\frac{x+8}{x^{2}-9}-\frac{x+2}{x+3}+\frac{x-2}{x-3}$$

Simplify each rational expression. $$\frac{x^{3}-3 x^{2}+9 x}{x^{3}+27}$$

Factor completely: \(x^{4}+2 x^{3}-3 x-6 .\) (Section 6.1 Example 8).

determine whether each statement 鈥渕akes sense鈥� or 鈥渄oes not make sense鈥� and explain your reasoning. I added \(\frac{5}{x-7}\) and \(\frac{3}{7-x}\) by first multiplying the second rational expression by \(-1\)

The rational expression $$\frac{130 x}{100-x}$$ describes the cost, in millions of dollars, to inoculate \(x\) percent of the population against a particular strain of flu. a. Evaluate the expression for \(x=40, x=80,\) and \(x=90\) Describe the meaning of each evaluation in terms of percentage inoculated and cost. b. For what value of \(x\) is the expression undefined? c. What happens to the cost as \(x\) approaches \(100 \% ?\) How can you interpret this observation?

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\frac{4}{x} \div \frac{x-2}{x}=\frac{4}{x-2}\( if \)x \neq 0\( and \)x \neq 2$$

Perform the indicated operation or operations. Simplify the result, if possible. $$\frac{5}{x^{2}-25}+\frac{4}{x^{2}-11 x+30}-\frac{3}{x^{2}-x-30}$$