Define a variable and write an equation for each situation. Then solve. You have 16 dollar and a coupon for a 5 dollar discount at a local supermarket. A bottle of olive oil costs $7. How many bottles of olive oil can you buy?

Graph each rational function. Show the asymptotes.

$$y = \frac { 1 } { x - 4 } - 1$$

Leroy borrows $800 at 5.3% annual interest compounded semiannually. He makes no payments. How much will he owe after four years?

If Atlantis is efficient in production, what is the opportunity cost of increasing the annual output of potatoes from 600 to 800 pounds? A. 200 pounds of fish B. 300 pounds of fish C. 500 pounds of fish D. 675 pounds of fish E. 800 pounds of fish

Suppose a quadratic polynomial function $f$ has two complex zeros that are a conjugate pair, $a-b i$ and $a+b i$ (where $a$ and $b$ are real numbers). Are all the coefficients of $f$ real? Explain.

Complete each equation. 10 yd = ? ft

(a) Reflect the r-shape about the x-axis and then about the y-axis. Find the transformation matrix $\textbf{M}=\textbf{R}_y\textbf{R}_x$ where $\textbf{R}_x$ is the matrix for reflection about the x-axis and $\textbf{R}_y$ is the matrix for reflection about the y-axis, and sketch the transformed r-shape. (b) What counterclockwise rotation is equivalent to these successive reflections? Illustrate with a sketch.

A 10% efficient engine accelerates a 1500 kg car from rest to 15 m/s. How much energy is transferred to the engine by burning gasoline?

Write an exponential form.

$$\left( \sqrt { a ^ { - 2 } b } \right) ^ { 5 }$$

A relation R is called circular if aRb and bRc imply that cRa. Show that R is reflexive and circular if and only if it is an equivalence relation.

How were cuneiform and hieroglyphic writing similar? different?

Reread lines 142-147. In a small group, discuss why Miep and Mr. Kraler are helping the Franks and the Van Daans. How do you think Miep and Mr. Kraler feel about helping them?

True or False. When FOIL is used. the terms 7 and x are called the inside terms of the product (4x + 7) (x - 2).

How does the nocturnal setting of Act Two, Scene 1, contribute to the scene's overall mood, or atmosphere? Think about the time of night at which the events take place, Banquo's observations about the night, Macbeth's remarks about the night