If

$$f ( x ) = x ^ { 2 } - 2 x + 7,$$

evaluate each of the following:

$$f ( - x ).$$

On a separate sheet of paper, answer the questions below. Make sure you read carefully and answer all parts of the questions. What challenges would be faced by a new dynasty that differed in religion or ethnicity from the people it was now ruling?

Describe the differences in the allotropes of white and red phosphorus. Explain why red phosphorus is more stable.

Imagine that you are Charles Darwin and write a letter to your father detailing your observations aboard the Beagle.

A smooth, flat plate of length $\ell = 6 \hspace{1mm}\mathrm{m}$ and wicth b = 4 m is placed in water with an upstream velocity of U = 0.5 m/s . Determine the boundary layer thickness and the wall shear stress at the center and the trailing edge of the plate. Assume a laminar boundary layer.

Sometimes old books fall apart when they are stored in air. Use what you know about the reactivity of elements to propose a way that old books could be kept from falling apart.

Check Understanding What approach did the Framers of the Constitution use to limit the powers of the National Government , and why was that approach successful?

Transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. $r \cos \theta=4$

Identify the segment bisector of $\overline{XY}$. Then find XY.

What can psychologists learn from conducting kinship studies?

Selected operating data for two divisions of Outback Brewing, Ltd., of Australia are given below:

$$\begin{matrix} \text{Division}\\ \text{ } & \text{Queensland} & \text{New South Wales}\\ \text{Sales} & \text{\$ 4.000.000} & \text{\$ 7.000.000}\\ \text{Average operating assets} & \text{\$ 2.000.000} & \text{\$ 2.000.000}\\ \text{Net operating income} & \text{\$ 360.000} & \text{\$ 420.000}\\ \text{Property, plant, and equipment (net)} & \text{\$ 950.000} & \text{\$ 800.000}\\ \end{matrix}$$

1. Compute the rate of return for each division using the return on investment (ROI) formula stated in terms of margin and turnover. 2. Which divisional manager seems to be doing the better job? Why?

Check Understanding Explain why peer groups have a significant impact on individuals' political opinions.

How have changes in population growth affected demographics in Italy?

Explain why giving away personal things might be a sign of someone considering suicide.