How does the graph of $y=5 x^2$ differ from the graph of $y=x^2$ ?

Simplify the expression:

$$5 \sqrt{18}-10 \sqrt{50}+3 \sqrt{72}$$

Which could be the sides of a right triangle?

A 21,72, and 75

B 30,35 , and 45

C 35,58 , and 48

D 41,82 , and 90

Explain the difficulty you encounter when trying to use Cramer's Rule to solve the system $4 x-12 y=-4$ $-6 x+18 y=-6$

Use a graphing calculator to find the inverse of

$$A=\left[\begin{array}{rr}6 & -2 \\ 4 & 12\end{array}\right]$$

.

Suppose that $f(x)$ is a polynomial of degree $m$, and $g(x)$ is a polynomial of degree $n<m$. What can you conclude about $\frac{f(x)}{g(x)}$ if it has a zero remainder?

What are the excluded value(s) for $\frac{x+4}{2 x^2-x-21}$ ?

A $-4$

B $-3$

C $-3$ and $3.5$

D $-4,-3$, and $3.5$

On a map, a square is drawn around Washington DC. Write the perimeter to area ratio of the square as a simplified rational expression. Then find the ratio given that the length of each side of the square is 10 miles long.

Describe the difference between a permutation and a combination if you select two-letter sets from the three-letter set $\{\mathrm{A}, \mathrm{B}, \mathrm{C}\}$.

Two of the ticket prices for a 2007 baseball game were: 27$for an outfield grandstand seat and 45$ for a right field box seat. Suppose you are an automobile dealer. You decide to buy tickets to give away during a sale. You decide to buy up to 24 tickets and to spend up to 720$. Let$x$represent a number of outfield grandstand seats and$y$ represent a number of right field box seats.

c. Determine the point of intersection of the boundary lines in the graph and explain its meaning.

Compare the graph to its function. Formulate a conjecture about how you can find the vertex of a parabola based on its related function given in vertex form.

Two of the ticket prices for a 2007 baseball game were: 27$for an outfield grandstand seat and 45$ for a right field box seat. Suppose you are an automobile dealer. You decide to buy tickets to give away during a sale. You decide to buy up to 24 tickets and to spend up to 720$. Let$x$represent a number of outfield grandstand seats and$y$ represent a number of right field box seats.

b. Describe the points in the graph of the system that represent all the possible combinations of outfield grandstand seats and right field box seats you can buy.

The graph of a polynomial function is continuous. That is, there are no breaks in the graph. The $x$-intercepts of a function are the $x$-coordinates of the points at which the graph of the function crosses the $x$-axis.

The function $f(x)=x^3-4 x-2$ has three $x$-intercepts. Between what pair of consecutive integer values of $x$ does each $x$-intercept lie?

Two of the ticket prices for a 2007 baseball game were: 27$for an outfield grandstand seat and 45$ for a right field box seat. Suppose you are an automobile dealer. You decide to buy tickets to give away during a sale. You decide to buy up to 24 tickets and to spend up to 720$. Let$x$represent a number of outfield grandstand seats and$y$ represent a number of right field box seats.

a. Write and graph a system of linear inequalities that represents the situation.