Explore BrainMass

Linear Algebra

Algebra - Linear Inequalities

1. How do solving linear inequalities differ from solving linear equations? 2. What is the difference between identity, conditional, and inconsistent equations? Support your answer with an example of each. 3. What is the necessary condition for the following fraction to be valid? What value(s) of "x" that cannot be used

Graphing [See the attached questions file.]

1. Which of the following graphs correctly describes the system and its solution? x + 4y = 12 y = -x A) B) C) D) None of these. 2. Which of the following systems of equations corresponds to the graph? A) C) B) D) 3. Solve the system of linear equations: 4x + 10y = -28 6x + 7y = 6 A) {(-2

Discussion questions on systems of linear equations

Please provide an answer to the following questions below that contains 250 to 300 words each. 1.By looking at two linear equations, how can you tell that the corresponding lines are parallel, the same graph, or intersecting lines? How many solutions does each possibility have and why is that? Show examples for each possib

Linear Programming Case - The central police department

The central police department had recently been criticized in the local media for not responding to police calls in the downtown area rapidly enough. In several recent cases, alarms had sounded for break-ins, but by the time the police car arrived, the perpetrators had left, and in one instance a store owner had been shot. Sgt

Set up a system of equations to model this scenario

Problem: A survey of 615 teenagers found that 44% of the boys and 35% of the girls would like to be taller. Altogether, 231 teenagers in the survey wished they were taller. 1) Set up a system of equations to model this scenario. 2) Use determinants and Cramer's rule to determine how many boys and how many girls were in the su

Algebra - System of Linear Equations

1) In what fundamental way does the solution set of a system of linear equations differ from the solution set of a system of linear inequalities? Give examples. Discuss the important implications arising from this difference. 2) In your own words explain what is meant by a dependent system of linear equations. How does this dif

Linear equations polynomial

1. Form each of the following: ? A linear equation in one variable ? A linear equation in two variables ? A quadratic equation ? A polynomial of three terms ? An exponential function ? A logarithmic function

Systems of Linear Equations

Low-fat yogurt: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with it no-fat yogurt to obtain low-fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt?

Clarification of Linear Equations

Super Bowl Contender: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do play is 1. What is the probability that San Francisco plays in the

Landscape Design - Solving Linear Equations

Note: Please view the attachment file. Landscape Design: Landscape designers often use coordinate geometry and algebra as they help their clients. In many regions, landscape design is a growing field. With the increasing popularity of do-it-yourself television shows, however, many homeowners are becoming amateur landscape

linear relationship between population and size of habitat

3. To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled. a. Write an equation using only one variable that could be used to solve for the constant of variation k.

Truth Table

I need help with wether the symbolic form of the argument on the right is valid or invalid. q->r r->p _________ ~q->~p is this argument valid or invalid ?

Word and Graph - 1. Why does the inequality sign change when both sides are multiplied or divided by a negative number? 2. Does this happen with equations? Why or why not? ... [See the attached Questions File.]

1. Why does the inequality sign change when both sides are multiplied or divided by a negative number? 2. Does this happen with equations? Why or why not? 3. Write an inequality for everyone to solve. In the equality, use both the multiplication and addition properties of inequalities. 4. How do you know if a value i

Diverse Algebra Equations and Graphs 2

Algebra equations, word problems, and graphs (see attachment) 1. solve the following system of equations: x + 3y = 2 x = 6 - 3y 2. Determine the slope of the line shown in the right 3. Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveli

Solving Systems of Equations and Inequalities

Please see the attached document for proper formatting of these questions. Thanks. ---------------------------------- Solve by graphing. Indicate whether each system is independent, inconsistent, or dependent. 1. y= 2x-1 x+y = 2 2. 3x - y = 4 3x - y = 0 Solve each system by substitution method.

P and q compound statements

Give that p and q each represent a simple statement, write the indicated compound statement in its symbolic form. 1.p: This is a hammer q: This is a tool. If this is not a hammer , then this is not a tool. 2. p: The cone has three scoops . q. The cone costs $1.85. The cone has three scoops if and only if the c

Algebra - Diverse Function Problem

1. Find the slope, if it exists, of the line containing the pair of points (-2, -10) and (-13, -12). The slope m = ? Simplify your answer type an integer or a fraction, type N if the slope is undefined. 2 Use the intercepts to graph the equation x - 5 = y ... [See the attached Question File.]

Algebra - Linear Programming for Maximizing

1. Maximize z = 4x1 + 2x2 Subject to -x1 - x2 ≤ 12 3x1 - x2 ≤ 15 x1 ≥ 0, x2 ≥ 0. 2. Maximize z = 5x1 + 4x2 + x3 Subject to -2x1 + x2 + 2x3 ≤ 3 x1 - x2 + x3 ≤ 1 x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

Gauss-Jordan Method

Use the Gauss-Jordan Method to solve each of the following systems of equations. 1. x + y = -1 y + z = 4 x + z = 1 2. 2x - y + z = 1 3x + y + z = 0 7x - y + 3z = 2 Please provide me the detailed steps on how to arrive at the answer to these problems. Thank you

Comparing Methods of Solving Systems of Linear Equations

Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method? Consider some of your responses by indicating pros and cons that you may not have considered or p

Motorists often complain about rising gas prices.

1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: a) What does the number 3.03 represent? b) Find C(2) c) Find C(9) d) For the average motorist, name one value for g that would be inappropriat