Solve the compound inequality, if possible. Graph the solution set (if one exists) and write it using interval notation.

$$- 3 < f ( x ) < 7 \text { where } f ( x ) = \frac { 2 } { 3 } x - \frac { 1 } { 3 }$$

$$5w^2-2w=0$$

Use a chart like this to list the types of sources used in each news report.

$$\begin{matrix} \text{News Report} & \text{Sources Used} & \text{ }\\ \text{"On Doomed Flight…"} & \text{ } & \text{ }\\ \text{"Memorial is Unveiled…"} & \text{ } & \text{ }\\ \end{matrix}$$

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference and the sum of the first n terms. If the sequence is geometric, find the common ratio and the sum of the first n terms. 0, 4, 8, 12,...

For what type of assignment might you use this primary source quotation? Explain.

Evaluate dy for the given values of x and dx. y=(3+x^2)^1/2, x=1, dx=-0.1

(a) Prove that $3,5,$ and 7 are quadratic nonresidues of any Fermat prime $F_{n},$ where $n \geq 2$ (b) Show that every quadratic nonresidue of a Fermat prime $F_{n}$ is a primitive root of $F_{n}$

Order the numbers from least to greatest. $2.5,-3\frac{1}{3},\sqrt{5},-\frac{4}{5},0.\overline{75}$

A. $2.5,-3\frac{1}{3},\sqrt{5},-\frac{4}{5},0.\overline{75}$ B. $-\frac{4}{5},-3\frac{1}{3},2.5,0.\overline{75},\sqrt{5}$ C. $\sqrt{5},-\frac{4}{5},0.\overline{75},-3\frac{1}{3},2.5$ D. $-3\frac{1}{3},-\dfrac{4}{5},0.\overline{75},\sqrt{5},2.5$

Describe each step in designing a fitness program.

Mrs. Cheung hired a landscraping service to plant a row of bushes around her triangular backyard. If the bushes must be planted 3 feet apart, approximately how many bushes are needed for Mrs. Cheung's backyard?

$$a=12 \mathrm{~ft}$$

$$c=30 \mathrm{~ft}$$

Explain why an endoskeleton allows vertebrates to grow larger than animals without endoskeletons.

Add the binary numbers.

$$110110101+1101101$$

Find the result of the dilation $D_{0.3 .5}(x, y)$ on the points (4, 6) and (-2, -4).

What is troubling Romeo at the beginning of the play?