Graph the function. Compare the graph to the graph of

$$f ( x ) = | x |$$

. Describe the domain and range.

$$q ( x ) = 4 | x |$$

Translate the sentence into an equation. The sum of q and four times t is equal to 29.

Based on the graph, determine the domain and the range of the quadratic function. $f(x)=3 x^{2}-12 x+4$

Starting with $2,3,5,7 , \ldots ,$ construct the positive integers $1 + 2 \cdot 3$ , $1 + 2 \cdot 3 \cdot 5,1 + 2 \cdot 3 \cdot 5 \cdot 7 , \ldots .$ Do you always get a prime number this way?

A flat wooden frame of uniform width, with outside dimensions of 8 inches by 10 inches, surrounds a rectangular photograph. If

$$15 \mathrm { in. } ^ { 2 }$$

of the photograph is visible, how wide is the material from which the frame is made?

Find the slope of the line described by each equation. y+2=7x

Give the coordinates of the points where each line crosses the coordinate axes.

$$\frac { x } { 5 } + \frac { y } { - 2 } = 1$$

Use a graphing utility to graph the polar equation. Find an interval for $\theta$ for which the graph is traced only once. $r=2(1-2 \sin \theta)$

Write the corollary as a conditional statement and its converse. Then explain why each statement is true. Rhombus Corollary.

Find a value for A so that the planes

$$8x − 6y + 9Az = 6$$

and

$$Ax + y + 2z = 3$$

are parallel.

Write the given expression as an algebraic expression in x.

$$\sin \left( 2 \tan ^ { -1 } x \right)$$

Use order of operations to simplify.

$$5 \times 4 - [ 3 \times ( 2 - 1 ) ]$$

In order to gauge the effectiveness of the OHaganBooks.com site, you recently commissioned a survey of online shoppers. According to the results, 2% of online shoppers visited OHaganBooks.com during a one-week period, while 5% of them visited at least one of OHaganBooks.com’s two main competitors: JungleBooks.com and FarmerBooks.com. Use this information to answer. Assuming that visiting OHaganBooks.com was independent of visiting a competitor, what percentage of online shoppers visited either OHaganBooks.com or a competitor?

Central Park is a rectangular shaped park in the middle of New York City. The area of the park is 3.41 km2. How many acres is the park to the nearest acre? (Note: 1 km2 = 247 acres) Use a unit multiplier and show your work.