Share
Explore BrainMass

Linear Algebra

Several problems on linear/quadratic equations

1A: Applications of Linear Equations Solve the following questions and submit your response to the W4: Assignment 1 Dropbox. 1. Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dim

Depreciation - 1. Jackie buys a computer for $3600. For tax purposes, she declares a linear depreciation (loss of value) of $600 per year. Let y be the declared value of the computer after x years. If the linear relation of the depreciation model in this situation is given by 3600 - y = 600x

1. Jackie buys a computer for $3600. For tax purposes, she declares a linear depreciation (loss of value) of $600 per year. Let y be the declared value of the computer after x years. If the linear relation of the depreciation model in this situation is given by 3600 - y = 600x a. What is the slope of the line that m

Important information about Algebra - Linear Programming

11.Irwin Textile Mills produces two types of cotton cloth denim and corduroy. corduroy is a heavier grade of cotton cloth and as such requires 7.5 pounds of raw cotton per yard, whereas denim requires 5 pounds of raw cotton per yard. a yard of corduroy requires 3.2 hrs of processing time;a yard of denim requires 3.0 hrs. althoug

Normal Equations and Projection Matrices

1. consider the following subspaces of R^4 V=span{v1,v2,v3}, W=span{w1,w2,w3} where v1=(1,2,1,-2)^T w1=(1,1,1,1)^T v2=(2,3,1,0)^T w2=(1,0,1,-1)^T v3=(1,2,2,-3)^T w3=(1,3,0,-4)^T a)Find two systems of homogeneous linear equations whose solution spaces are V and W, respectively. b)Find a basis f

Difference - One fundamental difference between a linear equation and a linear inequality lies in the number of possible solutions. A linear equation has a finite (limited) number of solutions while the linear inequality has a range (set) of solutions.

One fundamental difference between a linear equation and a linear inequality lies in the number of possible solutions. A linear equation has a finite (limited) number of solutions while the linear inequality has a range (set) of solutions. I need an example of an equation and an inequality that expresses the above difference

Linear algebraic equations

Problems 1. How are addition and multiplication used to solve a linear equation? Demonstrate by solving "15x + 7 = 31 + 3x" 2. Translate the following into a system of equations, then solve it:A customer walks into an electronics store and buys five MP3 players and eight sets of headphones, paying $840. A second customer

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

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

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 ?

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.]

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

A simple example of the use of De Morgan's Law

Can anyone show me a simple definition of De Morgan's Law (not proof just a definition using union and intersection symbols)? Please show a simple example of the use of De Morgan's Law.

System of Equation Word Problems

Please see the attached document for better formatting: _____________________________________________________ Review examples 2, 3, and 4 in section 8.4 of the text. How does the author determine what the first equation should be? What about the second equation? How are these examples similar? How are they different? P

Solving systems of equations

3.) Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent. 5u+v=9 5u=v+21 What is the solution of the system of equations? ____________________ (Type an ordered pair . Type N if there is no solution. Type R if the solution is a

Linear Equations In Real World

I need to show a linear equation and explain what it represents. I need to state what the "x" and "Y" in equation represents I have to be able to evaluate the equation for at least two variables and provide reference where you got the equation from. Part 2: Using the Library, web resources, and/or other materials, find a r