91Ó°ÊÓ

(a) use a graphing utility to graph the equation, (b) use the graph to approximate any \(x\) -intercepts of the graph, and (c) verify your results algebraically. $$y=(x+3)^{2}-4$$

Solving an Equation Involving Fractions Find all solutions of the equation. Check your solutions. $$x=\frac{3}{x}+\frac{1}{2}$$

(a) use a graphing utility to graph the equation, (b) use the graph to approximate any \(x\) -intercepts of the graph, and (c) verify your results algebraically. $$y=1-(x-2)^{2}$$

Use a graphing utility to graph the equation and graphically approximate the values of \(x\) that satisfy the specified inequalities. Then solve each inequality algebraically. Equation \(y=\left|\frac{1}{2} x+1\right|\) Inequalities (a) \(y \leq 4\) (b) \(y \geq 1\)

Use a graphing utility to approximate any solutions of the equation. [Remember to write the equation in the form \(f(x)=0.1\) $$x^{5}=3+2 x^{3}$$

Solve for the indicated variable. Volume of a Right Circular Cone $$\text { Solve for } h: \quad V=\frac{1}{3} \pi r^{2} h$$

Solving an Equation Involving Fractions Find all solutions of the equation. Check your solutions. $$\frac{4}{x}-\frac{5}{3}=\frac{x}{6}$$

Write the complex conjugate of the complex number. Then multiply the number by its complex conjugate. $$3+5 i$$

Write the complex conjugate of the complex number. Then multiply the number by its complex conjugate. $$-1+\sqrt{7} i$$

Solving an Equation Involving Fractions Find all solutions of the equation. Check your solutions. $$\frac{20-x}{x}=x$$