Chapter 9

Which ordered pair is not a solution of the inequality \(y \geq 2 x^{2}-7 x-10 ?\) \(\begin{array}{cccccc}\mathbf{A} & (0,-4) & & \mathbf{B} & (-1,-1) & & \mathbf{C} & (4,-13) & & \mathbf{D} & (5,15)\end{array}\)

Simplify the expression. $$\frac{\sqrt{48}}{\sqrt{81}}$$

Complete these steps for the function. a. Tell whether the graph of the function opens up or down. b. Find the coordinates of the vertex. c. Write an equation of the axis of symmetry. $$ y=4 x^{2}+\frac{1}{4} x-8 $$

SOLVING INEQUALITIES Solve the inequality. $$-12.3 x>86.1$$

Evaluate \(\sqrt{b^{2}-4 a c}\) for the given values. $$a=-2, b=8, c=-8$$

List the terms of the expression. $$(-n)(-n)(-4)$$

Use the quadratic formula to solve the equation. $$-6 x^{2}-3 x+2=0$$

Represent the solution graphically. Check the solution algebraically. $$ x^{2}-x=12 $$

Simplify the expression. $$\frac{\sqrt{64}}{\sqrt{16}}$$

Complete these steps for the function. a. Tell whether the graph of the function opens up or down. b. Find the coordinates of the vertex. c. Write an equation of the axis of symmetry.. $$ y=-10 x^{2}+5 x-3 $$

SOLVING INEQUALITIES Solve the inequality. $$11.2 x \leq 134.4$$

Evaluate \(\sqrt{b^{2}-4 a c}\) for the given values. $$a=3, b=-7, c=6$$

List the terms of the expression. $$-(y)^{3}$$

Use the quadratic formula to solve the equation. $$-\frac{1}{2} x^{2}+6 x+13=0$$

Represent the solution graphically. Check the solution algebraically. $$ x^{2}+4 x=21 $$

Use the following information. The per capita consumption (pounds per person) of whole milk W and reduced fat milk R from 1980 to 1995 can be modeled by the equations below where t represents years since 1980. $$\begin{aligned}&\text { Whole milk: } W=0.09 t^{2}-5.29 t+114.69\\\&\text { Reduced fat: } R=-0.23 t^{2}+2.40 t+71.39\end{aligned}$$ Sketch a graph of each equation on the same coordinate plane.

Simplify the expression. $$\frac{\sqrt{120}}{\sqrt{4}}$$

Complete these steps for the function. a. Tell whether the graph of the function opens up or down. b. Find the coordinates of the vertex. c. Write an equation of the axis of symmetry. $$ y=0.78 x^{2}-4 x-8 $$

Evaluate \(\sqrt{b^{2}-4 a c}\) for the given values. $$a=2, b=4, c=0.5$$

List the terms of the expression. $$(-1)(-x)^{4}$$

Use the quadratic formula to solve the equation. $$-10 a^{2}+3 a+2=0$$

Represent the solution graphically. Check the solution algebraically. $$ 8 x^{2}-4=4 x $$

Simplify the expression. $$\frac{1}{2} \sqrt{32} \cdot \sqrt{2}$$

Complete these steps for the function. a. Tell whether the graph of the function opens up or down. b. Find the coordinates of the vertex. c. Write an equation of the axis of symmetry. $$ y=3.5 x^{2}+2 x-8 $$

SOLVING INEQUALITIES Solve the inequality. $$y-4 x<0$$

Evaluate \(\sqrt{b^{2}-4 a c}\) for the given values. $$a=-3, b=7, c=5$$

Solve the equation. Round the result to two decimal places. $$15.67 x+23.61=1.56+45.8 x$$

Use the quadratic formula to solve the equation. $$-2 d^{2}-5 d+19=0$$

Represent the solution graphically. Check the solution algebraically. $$ -7 x^{2}-21 x=14 $$

Use the following information. The per capita consumption (pounds per person) of whole milk W and reduced fat milk R from 1980 to 1995 can be modeled by the equations below where t represents years since 1980. $$\begin{aligned}&\text { Whole milk: } W=0.09 t^{2}-5.29 t+114.69\\\&\text { Reduced fat: } R=-0.23 t^{2}+2.40 t+71.39\end{aligned}$$ Find the points where the parabolas intersect. What does each of these points represent?

Simplify the expression. $$3 \sqrt{63} \cdot \sqrt{4}$$

Complete these steps for the function. a. Tell whether the graph of the function opens up or down. b. Find the coordinates of the vertex. c. Write an equation of the axis of symmetry. $$ y=-10 x^{2}-7 x+2.66 $$

SOLVING INEQUALITIES Solve the inequality. $$-2 x-y \geq 4$$

Evaluate \(\sqrt{b^{2}-4 a c}\) for the given values. $$a=6, b=-8, c=4$$

Solve the equation. Round the result to two decimal places. $$17.87-2.87 x=1.87-4.92 x$$

Write the quadratic equation in standard form. Solve using the quadratic formula. $$2 x^{2}=4 x+30$$

Represent the solution graphically. Check the solution algebraically. $$ -2 x^{2}-4 x=-30 $$

Graph the equation. $$y=x+4$$

Simplify the expression. $$\sqrt{9} \cdot 4 \sqrt{25}$$

Complete these steps for the function. a. Tell whether the graph of the function opens up or down. b. Find the coordinates of the vertex. c. Write an equation of the axis of symmetry. $$ y=x^{2} $$

Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$\frac{3 \pm 4 \sqrt{6}}{3}$$

Solve the equation. Round the result to two decimal places. $$6.35 x-9.94=3.88+40.34 x$$

Write the quadratic equation in standard form. Solve using the quadratic formula. $$2-3 x+x^{2}=0$$

Use a graphing calculator to approximate the solution of the equation. $$ x^{2}-3 x-4=0 $$

Graph the equation. $$3 x+6 y=-18$$

Simplify the expression. $$-2 \sqrt{27} \cdot \sqrt{3}$$

SKETCHING GRAPHS Sketch the graph of the function. Label the vertex. $$ y=-2 x^{2} $$

SOLVING INEQUALITIES Solve the inequality. $$-y-3 x \leq 6$$

Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$\frac{6 \pm 4 \sqrt{2}}{-1}$$

Solve the equation. Round the result to two decimal places. $$5.6(1.2+1.9 x)=20.4 x+6.8$$