Graph the function

$$f ( x ) = \sqrt { x + 2 } – 4$$

and identify its domain and range.

Write the system of equations represented by the matrix equation below. Then solve matrix equation.

$$\left[ \begin{array} { r r } { - 3 } & { - 2 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l } { x } \\ { y } \end{array} \right] = \left[ \begin{array} { r } { 1 } \\ { - 3 } \end{array} \right]$$

Let the distribution function of a random variable Y be

$$F ( y ) = \left\{ \begin{array} { l l } { 0 , } & { y \leq 0 } \\ { \frac { y } { 8 } , } & { 0 < y < 2 } \\ { \frac { y ^ { 2 } } { 16 } , } & { 2 \leq y < 4 } \\ { 1 , } & { y \geq 4 } \end{array} \right.$$

. Find

$$P ( Y \geq 1 | Y \leq 3 )$$

.

Write the prime factorization of the number. Use exponents for repeated factors. 64

Write each proportion two ways: as ratios with unlike units and ratios with like units. 4 lb of bananas for $2.76 is the same as 1 lb of bananas for$.69.

Simplify. Identify the properties you used in each step of your calculation. 72(38) + (-72)(18)

Evaluate the limits or explain why the limit fails to exist.

$$\lim _ { ( x , y ) \rightarrow ( 0,0 ) } \frac { ( x + y ) ^ { 2 } } { x ^ { 2 } + y ^ { 2 } }$$

Ali has 2 vegetable pizzas that she cuts into eighths. How many

$$\frac{1}{8}$$

size pieces does she have?

Solve each system.

$$\left. \begin{array} { l } { y = x ^ { 2 } + 2 x - 2 } \\ { y = x + 10 } \end{array} \right.$$

Simplify the expression.

$$\left( a ^ { 2 } \right) ^ { - 3 } \left( a ^ { 3 } b \right) ^ { 2 } \left( b ^ { 3 } \right) ^ { 4 }$$

What is meant when it is said we both need and fear the world Thoreau creates?

(a) verify the given factor(s) of the function f, (b) find the remaining factors of f, (c) use your results to write the complete factorization of f, and (d) list all real zeros of f. Confirm your results by using a graphing utility to graph the function. Function $f(x)=2 x^{3}-x^{2}-10 x+5$ Factor(s) $(2x - 1)$

Hugo has a small print of one of the paintings in the table. It is similar in size to the original. The print measures 11 in. $\times$ 10 in. Of which painting is this a print? Explain.

$$\begin{matrix} & & \text{Original}\\\text{Painting} & \text{Artist} & \text{Size (in.)}\\\text{Mona Lisa} & \text{Leonardo Da Vinci} & \mathrm{30 \times 21}\\\text{The Dance Class} & \text{Edgar Degas} & \mathrm{33 \times 30}\\ \text{The Blue Vase} & \text{Paul Cezanne} & \mathrm{28 \times 18}\\\end{matrix}$$

Create a three-column chart with these headings: Term, Original Meaning, and Meaning in English. Then, using a dictionary that contains etymologies, fill in the chart for each of the following terms. coup de grâce