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

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) To find the x-intercept(s) of the graph of an equation, we set _____ equal to 0 and solve for _____. So the x-intercept of 2y = x + 1 is _____. (b) To find the y-intercept(s) of the graph of an equation, we set _____ equal to 0 and solve for _____. So the y-intercept of 2y = x + 1 is _____.

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?

A new car worth $24,000 is depreciating in value by 3000 per year. a. Write a formula that models the car's value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car’s value will be 9000. c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then show your solution to part (b) on the graph.

Fill in each blank so that the resulting statement is true. If the x- intercepts of a function are -1 and 3, then f(-1)=____ and f(3)=____. The x-intercepts, -1 and 3, are called the ___ of the function.

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) $2465=5 \cdot 17 \cdot 29$

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?

Complete the tables.

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

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

Write a recursive rule for the sequence.

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