If f(x)=3-|x| and g(x)=

$$3^x$$

+5, then calculate the value of: a. f(-5), b. g(4), c. f(0), d. f(2), e. g(1), f. g(0)

A zoo is building a new large-cat exhibit. Part of the space will be used for lions and part for leopards. The exhibit will house eight large cats in all. Expenses for lion will be about $8000 per year, and expenses for a leopard will be about$6000 per year. Write an equation that can be used to find y, the yearly expenses for the eight cats in the exhibit when x of the cats are lions.

Solve the equation for y. 4x – 10y = 12

Sam has a theory about the average rate of change. Sam I can quickly estimate the average rate of change for interval that are above and below the $x-$axis because they add to zero for example at year 1. the profit is aboat $\$300,000$ and at year 2.25 the profit is about $-\$300,000$. Therefore. the average rate of change for the time interval $(1, 2.25)$ is approximately $\$0$

Describe the error in Sam's reasoning.

Compare. Use >, <, or = to complete each statement. |-2|+4?6

What is the main idea of this passage? A People should worry less about risks. B People often misjudge the level of a given risk. C Car travel is more risky than air travel. D Your level of control affects how you view a risk.

View at least two cycles of the graphs of the given functions on a calculator. $y=-2 \cot \left(2 x+\frac{\pi}{6}\right)$

a. What effect will adding 10 to every value in a data set have on the standard deviation? b. What will the effect be if you multiply each value by 10?

Use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. $\frac{4 x^{7} \cdot 5 x}{10 x^{8}}$

Confirm that the following integers are absolute pseudoprimes: (a) $1105=5 \cdot 13 \cdot 17 .$ (b) $2821=7 \cdot 13 \cdot 31$ (c) $2465=5 \cdot 17 \cdot 29$

Complete the tables.

$$\begin{matrix} \text{Figure} & \text{Number of Sides} & \text{Number of Angles }\\ \text{\_\_\_\_\_} & \text{7} & \text{\_\_\_\_\_}\\ \end{matrix}$$

Mars has a mass of $6.42 \times 10^{23} \mathrm{kg}$ and a raduis of $3.40 \times 10^{6} \mathrm{m}$. Assume a person is standing on a bathroom scale on the surface of Mars. Over what time interval would Mars have to complete one rotation on its axis to make the bathroom scale have a zero reading?

Convert each base ten numeral to a numeral in the given base. 108 to base four

Write a recursive rule for the sequence.

$$21,14,7,0 , - 7 , \dots$$