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Graphs and Functions

Ordered Pairs

Complete the given ordered pairs so tht each ordered pair satisfies the given equation X + 2y = 1: (0, ), (-2, ), (2, )

X and y components

Please help! I just need the answers. No free body diagram either. Thanks.

Connected and Continuous

There are a couple of concepts I need clarification for: 1) If a set has no interior points, then is it necessarily closed? Isn't the empty set considered open? 2) If the graph of f: R -> R is connected, does it have to be continuous? In just Real -> Real aren't these definitions equivalent? Thanks.

If G is regular of degree

Assume that G does not equal K_2. K_2 is the complete 2-partite graph If G is regular of degree "r" and Kappa(G) = 1, prove that &#955;(G) <= [floor function of "r / 2" ] The floor function, also called the greatest integer function or integer value, gives the largest integer less than or equal to "r / 2." DEFN: the

Increasing and Decreasing Functions

2. (2--6) Determine the intervals on which the function is decreasing and increasing and then find local minima and maxima. 3. 4. 5. 6. The graph of is located below the X-axis but it touches the -axis at . What can you say about the graph of ? Please see the attached file for the fully formatted problems.

An Assortment of Basic Statisitics and Graphing Problems

Problem #'s 14, 18, 20, 24, 36 these I need help completing Find the median of each set of numbers. 14. 1, 4, 9, 15, 25, 36 Find the mode of each set of numbers. 18. 41, 43, 56, 67, 69, 72 20. 9, 8, 10, 9, 9, 10, 8 24. Statistics. A salesperson drove 238, 159, 87, 163, and 198 miles (mi

Graphing Equations with Absolute Values

Please show me how to complete these problems correctly with the actual graph. Thank you. Solve each absolute value equation and graph the solution set. 1. | x | - 5 = -1 | 2 | 2. | 2x - 8 | = 0 Solve each absolute value inequality and graph the solution set. 3. | 5x - 1 | < 14 (the < is und

At a large pharmacy, first you wait at the line for giving your order.

Dear OTA, Please help with steps Thanks 1. At a large pharmacy, first you wait at the line for giving your order. Most of the time (80% of the time) the pharmacist has your drugs ready in 2 minutes. But 20 percent of the time, the pharmacist needs additional time to prepare the drug, and she spends 8 minutes for your

Applications of Linear Equations

Problems #'s 8, 16, 28, 38 these I need help completing Hint: (in order to draw points and lines on the graph I use Paint) Click on it and copy/paste it into an open Paint file 1. Click on the spray-paint icon and then choose the smallest splotch (there were three sizes 2. After you plot the points then paste again

Graphs and Linear Equations

Section 3.1 Use the given equation to find the missing coordinates in the following tables: 34. X Y -2 0 2 -3 -7 Graph each equation. Plot at least five points for each equation. Use graph paper. See Examples 3.5. If you have a graphing calculator, use it to check your graphs when possible.

Equations and Graphing problems

Please show work so that I may understand. Thank you. 1.) Solve the equation x + 0.04x = 9600 2.) Solve the inequality (1/6) x - 1 &#8804; 4 + (1/3) x. Express answer in both graphical and interval notation form. Find the missing coordinates y = -x + 4 x y -2 0 2 0 -2 3.) Plot

Graphing and Functions

1. Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged. Denote C for number of cups and P for price. Assume the function is linear. 2. Write an equation for f(x) based on x -2,


I am having trouble understanding the sign of the discriminant in quadratic equations. I'm confused. See attached for my full problem.

Slope-Intercept Form

Please show work so that I can understand how you arrive at your answer. Thank you. 1.) Write the equation in slope intercept form y + 2 = - 6(x-1) 2.) Determine the equation of each line. Write the answer in slope intercept form. The line through (4,0) that is perpendicular to the line x + y = 3 Solve

Outerplanar and Bipartite Graphs

A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. A graph G is outerplanar iff G + K_1 is planar. Note:A bipartite graph (i.e., a set of graph vertices decomposed into two disjoint sets such that no two graph vertices within the same set are adjacent

Graphs and the Time Value of Money

Please take this real-life situation: I currently have a CD investment accounts in the Dominican Republic. I invested $10,000 ($M) in The Central Bank of the Dominican Republic. This investment account produced a simple annual interest of 10% (R) for me. I plan to leave my money in this investment account for (X) amount of year

Critical Numbers : Find the intervals of increase and decrease.

Find the intervals of increase and decrease for a. Increasing on x -2 and x 8 , decreasing on - 2 x 8 b. Increasing on x < -8 and x > 2, decreasing on -8 < x < 2 c. Increasing on -8 < x < 2, decreasing on x < -8 and x > 2 d. Increasing on x < -2 and x > 8, decreasing on -2 < x < 8 An equation for the t

Which of the following represents a straight-line graph?

Please see attached file for full problem description. Which of the following represents a straight-line graph? a. none of the following is a straight-line graph b. all of the following are straight-line graphs c. varX varY 1 6 2 4 3 2 d. varW varZ 3 8 4 7 5 4 e. varT varU 10 0.5 11 1.5 12 2 Wh