How can you tell whether an ordered pair is a solution of a linear inequality?

Assess the different views on aging presented by "The Seven Ages of Man" and by Morrie. With which do you agree more?

Solve the equation, if possible. If an equation is an identity or a contradiction, state this.

$$\frac { 3 } { 4 } x + 1.5 = - 19.5$$

You can spend at most $21 on fruit. Blueberries cost$4 per pound, and strawberries cost $3 per pound. You need at least 3 pounds of fruit to make muffins. a. Write and graph a system of linear inequalities that represents the situation. b. Identify and interpret a solution of the system. c. Use the graph to determine whether you can buy 4 pounds of blueberries and 1 pound of strawberries.

A wire is strung tightly between two immovable posts. Discuss how an increase in temperature affects the speed of a transverse wave on this wire. Give your reasoning, ignoring any change in the mass per unit length of the wire.

You can spend at most $21 on fruit. Blueberries cost$4 per sound and strawberries cost $3 per sound. You need at least 3 pounds to make muffins. a. Define the variables. b. Write a system of linear inequalities that represents this situation. c. Graph the system of linear inequalities. d. Is it possible to buy 4 pounds of blueberries and 1 pound of strawberries in this situation? Justify your answer.

Find the angle between the diagonal of a cube and an adjacent side.

An experiment involves tossing a single die. These are some events: A: Observe a 2 B: Observe an even number C: Observe a number greater than 2 D: Observe both A and B E: Observe A or B or both F: Observe both A and C

a. List the simple events in the sample space. b. List the simple events in each of the events A through F. c. What probabilities should you assign to the simple events? f. Calculate the probabilities of the six events A through F by adding the appropriate simple-event probabilities.

Write and graph an inequality whose graph is described by the given information. The points (2, 5) and (-3, -5) lie on the boundary line. The points (6, 5) and (-2, -3) are solutions of the inequality.

Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

$$\left\{\begin{aligned} 2 x-2 y-2 z &=2 \\ 2 x+3 y+z &=2 \\ 3 x+2 y &=0 \end{aligned}\right.$$

A measurement is given. Find the minimum and maximum possible measurements. A bag of apples weighs 4 lbs to the nearest lb.

The mathematics department has 30 teaching assistants to be divided among three courses, according to their respective enrollments. The table shows the courses and the number of students enrolled in each course.

$$\begin{matrix} \text{Course} & \text{College Algebra} & \text{Statistics} & \text{Liberal Arts Math} & \text{Total}\\ \text{Enrollment} & \text{978} & \text{500} & \text{322} & \text{1800}\\ \end{matrix}$$

a. Apportion the teaching assistants using Hamilton’s method. b. Use Hamilton’s method to determine if the Alabama paradox occurs if the number of teaching assistants is increased from 30 to 31. Explain your answer.

An airline advertisement states, "To get the special fare you must purchase your tickets between January 1 and February 15 and fly round trip between March l and April 1. You must depart on a Monday, Tuesday, or Wednesday, and return on a Tuesday, Wednesday, or Thursday , and stay over at least one Saturday." (a) Determine which of the following individuals will qualify for the special fare. (b) If the person does not qualify for the special fare, explain why. Xavier plans to purchase his ticket on January 15, depart on Monday, March 3, and return on Tuesday, March 18. Gina plans to purchase her ticket on February 1, depart on Wednesday, March 12, and return on Thursday, April 3. Kara plans to purchase her ticket on February 14, depart on Tuesday, March 4, and return on Monday, March 19. Christos plans to purchase his ticket on January 4, depart on Monday, March I 0, and return on Thursday, March 13. Chang plans to purchase his ticket on January 1, depart on Monday, March 3, and return on Monday, March 10.

Graph using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals. $y=\ln |x|$