The profits, in dollars, for $x$ weeks in one year for a small business can be modeled by the function $y=-0.55(x-12)^2+630$. Does the graph of the function have a maximum or a minimum? What is that value and during what week did it occur?

Add the following terms.

$$2+\frac{1}{x} \quad \frac{2 x+1}{x}$$

Use the right triangle to find the value of the following trigonometric functions:

$$\tan (x)$$

Solve the expression:

$$4 x=12-5 y$$

$$24=8 x+10 y$$

Find the distance between the following points.

$$(-2,2) \text { and }(4,6)$$

Simplify the expression.

$$6 \sqrt{18}+5 \sqrt{8}-3 \sqrt{50}$$

A plane's altitude increases at a rate of $40 \mathrm{ft} / \mathrm{s}$ as it ascends after takeoff. Its ground distance from the airport is increasing at a rate of $240 \mathrm{ft} / \mathrm{s}$. What is the location of the plane 20 seconds after takeoff?

Expand the expression:

$$(2-m)^7$$

Simplify the following expression.

$$4 \sqrt{3}(2 \sqrt{3}-\sqrt{6}) \quad 24-12 \sqrt{2}$$

Verify Show that $16 \mathrm{~cm}, 40 \mathrm{~cm}$, and $43 \mathrm{~cm}$ cannot be the lengths of the sides of a right triangle.

Add the expression:

$$\frac{5 x^2}{p m}-4+\frac{c}{p^2 m}$$

Explain why all solutions of the system below lie in quadrant III.

$$\begin{aligned} & y>\frac{1}{2} x \\ & y<-2 \end{aligned}$$

Write the vertex form of a quadratic equation if the parent function is shifted 5 units right.

Write the equation in standard form for the line that crosses the two points.

$$(-7,9),(-10,11)$$