Chapter 3

Solve the inequality. $$ x(x-1) \geq 6 $$

Solve the inequality. $$ x^{2}-9<0 $$

Use transformations to sketch a graph of \(f\). \(f(x)=(x+4)^{2}\)

Write the expression in standard form. $$ \frac{3}{(2-i)^{2}} $$

Solve the equation by completing the square. $$ x^{2}-10 x=1 $$

Use transformations to sketch a graph of \(f\). \(f(x)=-\sqrt{x}\)

Evaluate the expression with a calculator. $$ (23-5.6 i)+(-41.5+93 i) $$

Solve the equation by completing the square. $$ x^{2}+5 x=4 $$

Solve the inequality. $$ x^{2}-5 \leq 0 $$

Use transformations to sketch a graph of \(f\). \(f(x)=2(x-1)^{2}+1\)

Evaluate the expression with a calculator. $$ (-8.05-4.67 i)+(3.5+5.37) $$

Solve the equation by completing the square. $$ x^{2}+6 x-5=0 $$

Solve the inequality. $$ 0.5 x^{2}-3.2 x>-0.9 $$

Use transformations to sketch a graph of \(f\). \(f(x)=-x^{2}+4\)

Evaluate the expression with a calculator. $$ (17.1-6 i)-(8.4+0.7 i) $$

Solve the equation by completing the square. $$ 3 x^{2}-6 x=2 $$

Solve the inequality. $$ 7 x^{2}+515.2 \geq 179.8 x $$

Use transformations to sketch a graph of \(f\). \(f(x)=\sqrt{-x}\)

Evaluate the expression with a calculator. $$ \left(\frac{3}{4}-\frac{1}{10} i\right)-\left(-\frac{1}{8}+\frac{4}{25} i\right) $$

Solve the equation by completing the square. $$ 2 x^{2}-3 x+1=0 $$

Solve the inequality. $$ -10<3 x-x^{2} $$

Use transformations to sketch a graph of \(f\). \(f(x)=|x|-4\)

Evaluate the expression with a calculator. $$ (-12.6-5.7 i)(5.1-9.3 i) $$

Solve the equation by completing the square. $$ x^{2}-8 x=10 $$

Use transformations to sketch a graph of \(f\). \(f(x)=\sqrt{x}+1\)

Evaluate the expression with a calculator. $$ (7.8+23 i)(-1.04+2.09 i) $$

Solve the equation by completing the square. $$ x^{2}-2 x=2 $$

Use a table to solve. \(x^{2} \geq 3 x+10\)

Use transformations to sketch a graph of \(f\). \(f(x)=\sqrt{x-3}+2\)

Evaluate with a calculator. Round values to the nearest thousandth. $$ \frac{17-135 i}{18+142 i} $$

Solve the equation by completing the square. $$ \frac{1}{2} t^{2}-\frac{3}{2} t=1 $$

Use transformations to sketch a graph of \(f\). \(f(x)=|x+2|-3\)

Evaluate with a calculator. Round values to the nearest thousandth. $$ \frac{141+52 i}{102-31 i} $$

Solve the equation by completing the square. $$ \frac{1}{3} t^{2}+\frac{1}{2} t=2 $$

Use a table to solve. \(\frac{1}{8} x^{2}+x+2 \geq 0\)

Use transformations to sketch a graph of \(f\). \(f(x)=|2 x|\)

Solve. Write answers in standard form. $$ x^{2}+5=0 $$

Solve the equation by completing the square. $$ -2 z^{2}+3 z+1=0 $$

Use a table to solve. \(x^{2}-\frac{1}{2} x-5<0\)

Use transformations to sketch a graph of \(f\). \(f(x)=\frac{1}{2}|x|\)

Solve. Write answers in standard form. $$ 4 x^{2}+3=0 $$

Solve the equation by completing the square. $$ -3 z^{2}-5 z+3=0 $$

Use transformations to sketch a graph of \(f\). \(f(x)=1-\sqrt{x}\)

Solve. Write answers in standard form. $$ 5 x^{2}+1=3 x^{2} $$

Solve the equation by completing the square. $$ -\frac{3}{2} z^{2}-\frac{1}{4} z+1=0 $$

Use transformations to sketch a graph of \(f\). \(f(x)=2 \sqrt{(x-2)}-1\)

Solve. Write answers in standard form. $$ x(3 x+1)=-1 $$

Solve the equation by completing the square. $$ -\frac{1}{5} z^{2}-\frac{1}{2} z+2=0 $$

The stopping distance \(D\) in feet for a car traveling at \(x\) miles per hour on wet level pavement can be estimated by \(D(x)=\frac{1}{9} x^{2}+\frac{11}{3} x\). If a driver can see only 300 feet ahead on a curve, find a safe speed limit.

Use transformations to sketch a graph of \(f\). \(f(x)=-\sqrt{1-x}\)