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Linear Algebra

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

Different methods of solving system of linear equations

i) Solve he following equation by the quadratic formula : 3X^2 + 4X -23 = 0 ii) Find the values of x and y that satisfy the equations here given ( use the simultaneous equation method ) : 3x + 2y = 22 2x + 3y = 23 iii) Solve graphically the following equations: show the graph as a part of the solu

Linear, Nonlinear Variables - Similarities and Differences

What similarities and differences do you see between functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

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

Judy and Pete are building a new house and want to carpet their living room

Please see the attached file. 1. Judy and Pete are building a new house and want to carpet their living room, except for the entrance way and the semicircle in front of the fireplace that they want to tile (Alexander & Koeberlein, 2003). A. How many square yards of carpeting are needed? (Hint: There are 9 square feet

Linear equations as matrices

1. In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation. Find matrices A, B, C, and X such that the maximization problem Maximize z = 3x1 + 2x2 + x3

Linear Equations: Determine the Slope

1. A roof rises 2.25 ft over a horizontal distance of 17.37 ft. What is the slope of the roof to the nearest hundredth? 2. Determine which two equations represent parallel lines. (a) y = x + 4 (b) y = - x - 9 (c) y = 7x + 14 (d) y = 7x - 4.

A stamp collection consists of 3, 8, and 15 cent stamps.

A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection?

Determinants, Matrices, Inverse, Linear equations

Practice problems on determinants and matrices. All questions can be found in the attached file. Write the matrix equation as a system of equations and solve the system. ■(1&2&3@1&1&1@-1&1&2) {█(x@y@z)┤ = {█(1@12@2)┤ Find the determinant of the given matrix. ■(1&0&6 -1@-6&0&2 4@3&0&6 -2 )

Landscape Design, Buying a Home and Fueling up

Questions 1. Exercise: Four Concept Check Post your 50 word response to the following: Explain in your own words why the line x = 4 is a vertical line. 2. DQ 5-1 Post your response to the following: What similarities and differences do you see between functions and linear equations? Are all linear equations functions?

Linear Equations and Linear Inequalities

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.

MTH 212: Unit 4 Group Project - A

Can you help solve the attached file? 1. Along a straight shoreline, two lighthouses, A and B, are located 2000 feet apart. A buoy lies in view of both lighthouses, with angles 1, 2, and 3 as indicated. (Angle 1 is denoted by , angle 2 is denoted by , and angle 3 is denoted by .) A. By looking at the picture, do you th