Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 5, Problem 2ECP
To determine
To solve: The equation
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Here is an augmented matrix for a system of equations (three equations and three variables). Let the
variables used be x, y, and z:
1 2 4 6
0 1
-1
3
0
0
1
4
Note: that this matrix is already in row echelon form.
Your goal is to use this row echelon form to revert back to the equations that this represents, and then to
ultimately solve the system of equations by finding x, y and z.
Input your answer as a coordinate point: (x,y,z) with no spaces.
1
3 -4
In the following matrix
perform the operation 2R1 + R2 → R2.
-2 -1
6
After you have completed this, what numeric value is in the a22 position?
5
-2
0
1
6 12
Let A
=
6
7
-1
and B =
1/2 3 -14
-2 0
4
4
4
0
Compute -3A+2B and call the resulting matrix R.
If rij represent the individual entries in the matrix R, what numeric value is in 131?
Input your answer as a numeric value only.
Chapter 5 Solutions
Practical Business Math Procedures
Ch. 5.1 - Write equations for the following (use the letter...Ch. 5.1 - Solve the following:
B + 24 = 60
D + 3D = 240
12B...Ch. 5.1 - Write equations for the following (use the letter...Ch. 5.1 - Solve the following:
B + 14 = 70
D + 4D = 250
11B...Ch. 5.1 - Prob. 1AHCh. 5.1 - Prob. 2AHCh. 5.2 - An L. L. Bean sweater was reduced $30. The sale...Ch. 5.2 - Kelly Doyle budgets of her yearly salary for...Ch. 5.2 - Micro Knowledge sells 5 times as many computers as...Ch. 5.2 - Susie and Cara sell stoves at Elliott’s...
Ch. 5.2 - Prob. 5PQCh. 5.2 - Prob. 6PQCh. 5.2 - Prob. 1EPQCh. 5.2 - Prob. 2EPQCh. 5.2 - Prob. 3EPQCh. 5.2 - Prob. 4EPQCh. 5.2 - Prob. 5EPQCh. 5.2 - Prob. 6EPQCh. 5.2 - Prob. 1AHCh. 5.2 - Prob. 2AHCh. 5.2 - Prob. 3AHCh. 5.2 - Prob. 4AHCh. 5.2 - Prob. 5AHCh. 5.2 - Prob. 6AHCh. 5.2 - Prob. 7AHCh. 5.2 - Prob. 8AHCh. 5.2 - Prob. 9AHCh. 5.2 - In 2016, Tony Rigato, owner of MRM, saw an...Ch. 5 - Prob. 1ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 4ECPCh. 5 - Prob. 5ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 8ECPCh. 5 - Prob. 9ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 11ECPCh. 5 - Prob. 12ECPCh. 5 - Jessica and Josh are selling Entertainment Books...Ch. 5 - Prob. 14ECPCh. 5 - Dots sells T-shirts ($2) and shorts ($4). In...Ch. 5 - Dots sells a total of 250 T-shirts ($2) and shorts...Ch. 5 - Prob. 17ECPCh. 5 - Prob. 18ECPCh. 5 - Prob. 19ECPCh. 5 - Prob. 20ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 22ECPCh. 5 - On a flight from Boston to San Diego, American...Ch. 5 - Prob. 24ECPCh. 5 - Bill’s Roast Beef sells 5 times as many sandwiches...Ch. 5 - Prob. 26ECPCh. 5 - Prob. 27ECPCh. 5 - Prob. 28ECPCh. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Solve the unknown from the following equations: LU...Ch. 5 - Prob. 31ECPCh. 5 - Solve the unknown from the following...Ch. 5 - If Colorado Springs, Colorado, has 1.2 times as...Ch. 5 - Prob. 34ECPCh. 5 - Prob. 35ECPCh. 5 - Prob. 36ECPCh. 5 - Prob. 37ECPCh. 5 - Prob. 38ECPCh. 5 - Prob. 39ECPCh. 5 - Prob. 40ECPCh. 5 - Prob. 41ECPCh. 5 - Prob. 42ECPCh. 5 - Prob. 43ECPCh. 5 - Prob. 1PTCh. 5 - Prob. 2PTCh. 5 - Prob. 3PTCh. 5 - Working at Staples, Jill Reese and Abby Lee sold a...Ch. 5 - Prob. 5PTCh. 5 - Prob. 6PT
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- 1 -2 4 10 My goal is to put the matrix 5 -1 1 0 into row echelon form using Gaussian elimination. 3 -2 6 9 My next step is to manipulate this matrix using elementary row operations to get a 0 in the a21 position. Which of the following operations would be the appropriate elementary row operation to use to get a 0 in the a21 position? O (1/5)*R2 --> R2 ○ 2R1 + R2 --> R2 ○ 5R1+ R2 --> R2 O-5R1 + R2 --> R2arrow_forwardThe 2x2 linear system of equations -2x+4y = 8 and 4x-3y = 9 was put into the following -2 4 8 augmented matrix: 4 -3 9 This augmented matrix is then converted to row echelon form. Which of the following matrices is the appropriate row echelon form for the given augmented matrix? 0 Option 1: 1 11 -2 Option 2: 4 -3 9 Option 3: 10 ܂ -2 -4 5 25 1 -2 -4 Option 4: 0 1 5 1 -2 Option 5: 0 0 20 -4 5 ○ Option 1 is the appropriate row echelon form. ○ Option 2 is the appropriate row echelon form. ○ Option 3 is the appropriate row echelon form. ○ Option 4 is the appropriate row echelon form. ○ Option 5 is the appropriate row echelon form.arrow_forwardLet matrix A have order (dimension) 2x4 and let matrix B have order (dimension) 4x4. What results when you compute A+B? The resulting matrix will have dimensions of 2x4. ○ The resulting matrix will be a single number (scalar). The resulting matrix will have dimensions of 4x4. A+B is undefined since matrix A and B do not have the same dimensions.arrow_forward
- If -1 "[a446]-[254] 4b = -1 , find the values of a and b. ○ There is no solution for a and b. ○ There are infinite solutions for a and b. O a=3, b=3 O a=1, b=2 O a=2, b=1 O a=2, b=2arrow_forwardA student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.arrow_forwardSolve the following system of equations using matrices: -2x + 4y = 8 and 4x - 3y = 9 Note: This is the same system of equations referenced in Question 14. If a single solution exists, express your solution as an (x,y) coordinate point with no spaces. If there are infinite solutions write inf and if there are no solutions write ns in the box.arrow_forward
- Hi, I need to make sure I have drafted a thorough analysis, so please answer the following questions. Based on the data in the attached image, develop a regression model to forecast the average sales of football magazines for each of the seven home games in the upcoming season (Year 10). That is, you should construct a single regression model and use it to estimate the average demand for the seven home games in Year 10. In addition to the variables provided, you may create new variables based on these variables or based on observations of your analysis. Be sure to provide a thorough analysis of your final model (residual diagnostics) and provide assessments of its accuracy. What insights are available based on your regression model?arrow_forwardI want to make sure that I included all possible variables and observations. There is a considerable amount of data in the images below, but not all of it may be useful for your purposes. Are there variables contained in the file that you would exclude from a forecast model to determine football magazine sales in Year 10? If so, why? Are there particular observations of football magazine sales from previous years that you would exclude from your forecasting model? If so, why?arrow_forwardStat questionsarrow_forward
- 1) and let Xt is stochastic process with WSS and Rxlt t+t) 1) E (X5) = \ 1 2 Show that E (X5 = X 3 = 2 (= = =) Since X is WSSEL 2 3) find E(X5+ X3)² 4) sind E(X5+X2) J=1 ***arrow_forwardQuestion 1: Let X be a random variable with p.m.f (|x| +1)² x= -2, -1, 0, 1,2 f(x) = C 0, O.W 1. The value of c. 2. The c.d.f. 3. E(X). 4. E(2x+3). 5. E(X²). 6. E(3x²+4). 7. E(X(3X+4)). 8. Var(X). 9. Var (6-3X). 10. Find the m.g.f of the random variable Xarrow_forwardI need help explaining on this examplearrow_forward
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