1. Find the complete (including values for slack variables) optimal solution to this linear programming problem using. graphical method Min 5X + 6Y s.t. 3X + Y > 15 X + 2Y > 12 3X + 2Y > 24 X , Y > 0 2. Find the complete (including values for slack variables) optimal solution
1. Solve the system by addition or substitution. -9x - 3y = 22 y = -3x - 6 2. A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60
1. What are the different forms of linear equations in two variables? Show an example of each form. 2. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)? And how do you interpret the relationship between two variables (independent and dependent) based on the typ
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
Please see attached file regarding systems of equations Solving system of equations by graphing, substitution and Guass
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
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
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
Find the equation of the following line Slope 7/8; (6,-3) is on the line y=
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
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
Consider the function f:A→A defined by f(x)=x+1 and justify your answers. a) For A=Ν (integers) is f onto? b) For A=R(real number) is f injective? c) For A=Q (rationals) is f onto? d) For A=Z(all integers) is f a bijection?
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
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
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
Lisa participated in a triathlon in which she swam 3 miles ran 5 miles and then bicycled 10 miles. Lisa ran twice as fast as she swam and she cycled three times as fast as she swam. If her total time for the triathlon was 1 hour and 46 minutes then how fast did she swim
Fueling Up (1) & (2) Motorists often complain about rising gas prices. Some motorists purchase fuel efficient vehicles and participate in trip reduction plans, such as carpooling and using alternative transportation. Other drivers try to drive only when necessary. Application Practice Answer the following questions. U
Khan manufacturing produces two popular grades of commerical carpeting among its many other products. In the coming production period, Khan needs to decide how many rolls of ecah grade should be produced in order to maximize profit. Each roll of Grade A capret uses 50 units of synthetic fiber, requires 25 hours of production tim
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
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
3(x+7)-5w-1 w = what is w
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
2-4 paragraphs plus graphs Details: Matrices are the most common and popular way to solve systems of equations. Provide an example of a matrix that can be solved using Gaussian elimination. 1. Show specifically how row operations can be used to solve the matrix. 2. State the solution. 3. Substitute the solution back
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
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?
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
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
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.
All rocks are hard All diamonds are rocks ____________________________ Therefore, all diamonds are hard is the argument valid or invalid ?
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 ?