1. Write the system of equations as an augmented matrix

6x?6y?4z=6
?x+y?3z=6

x?5y+4z=6

2. Write the system of equations as an augmented matrix

u ? 3y = 100

n + 6y = 200

2u + n + y = 250

3.A system of equations was written as an augmented matrix where

The coefficients of the unknown variable aa were put in column 1
The coefficients of the unknown variable zz were put in column 2
The coefficients of the unknown variable cc were put in column 3

which was row reduced to:

1 0 0 2

0 1 0 3

0 0 1 ?5

What is the solution to the original system of equations?

z=

a=

c=

4. A system of equations was written as an augmented matrix where

the coefficients of the unknown variable rr were put in column 1
the coefficients of the unknown variable mm were put in column 2
the coefficients of the unknown variable ss were put in column 3

which was row reduced to:

1 0 0 ?4

0 1 0 4

0 0 1 ?1

What is the solution to the original system of equations?

r=

m=

s=

5. Write the system of equations as an augmented matrix

a + 3y =150

a + y + x =250

?a ? 6y + x =200

[? ? ?? ]

[? ? ?? ]

[? ? ?? ]

6. A system of equations was written as an augmented matrix, which was row reduced to:

1 0 0 ?1

0 1 0 ?6

0 0 1 ?2

What is the solution to the original system of equations?

y=

x=

z=

7. Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z.

{15x + 5y + z = ?75

18x + 5y + 3z = ?94

6x + 2y + z = ?33

x=

y=

z=

8. Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z.

8x + 3y + 15z = ?38

12x + 6y + 18z = ?60

4x + 3y + 3z = ?22

x=

y=

z=

9. Write the augmented matrix as a system of equations

[0 2 1 250

0 1 0 400

?1 ?3 1 100]

___ x+ ___y+ ___z= ___

___x+ ___y+ ___z= ___

___x+ ___y+ ___ z= ___

10. Let

M= [ 1 4 -2

5 -3 3]

[____ ____ ____

____ ____ ____]

11. Given A= [2 -1 -7 Given A= [250

-1 1 6 400

-1 -1 -5] 150]

Solve the matrix equation Ax=bAx=b for xx

x= =

[ ___

___

___]

12. Write out the matrix equation for this given system of equations
z + 2x = 200

?3z + y ? 5x = 300

3z + 7x = 150

Requirements: each problems
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This is a homework Q&A between a student and a tutor. If the final answer looks incomplete, expand the discussion to see if you can find what you’re looking for.
1. Write the system of equations as an augmented matrix

6x?6y?4z=6
?x+y?3z=6

x?5y+4z=6

2. Write the system of equations as an augmented matrix

u ? 3y = 100

n + 6y = 200

2u + n + y = 250

3.A system of equations was written as an augmented matrix where

The coefficients of the unknown variable aa were put in column 1
The coefficients of the unknown variable zz were put in column 2
The coefficients of the unknown variable cc were put in column 3

which was row reduced to:

1 0 0 2

0 1 0 3

0 0 1 ?5

What is the solution to the original system of equations?

z=

a=

c=

4. A system of equations was written as an augmented matrix where

the coefficients of the unknown variable rr were put in column 1
the coefficients of the unknown variable mm were put in column 2
the coefficients of the unknown variable ss were put in column 3

which was row reduced to:

1 0 0 ?4

0 1 0 4

0 0 1 ?1

What is the solution to the original system of equations?

r=

m=

s=

5. Write the system of equations as an augmented matrix

a + 3y =150

a + y + x =250

?a ? 6y + x =200

[? ? ?? ]

[? ? ?? ]

[? ? ?? ]

6. A system of equations was written as an augmented matrix, which was row reduced to:

1 0 0 ?1

0 1 0 ?6

0 0 1 ?2

What is the solution to the original system of equations?

y=

x=

z=

7. Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z.

{15x + 5y + z = ?75

18x + 5y + 3z = ?94

6x + 2y + z = ?33

x=

y=

z=

8. Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z.

8x + 3y + 15z = ?38

12x + 6y + 18z = ?60

4x + 3y + 3z = ?22

x=

y=

z=

9. Write the augmented matrix as a system of equations

[0 2 1 250

0 1 0 400

?1 ?3 1 100]

___ x+ ___y+ ___z= ___

___x+ ___y+ ___z= ___

___x+ ___y+ ___ z= ___

10. Let

M= [ 1 4 -2

5 -3 3]

[____ ____ ____

____ ____ ____]

11. Given A= [2 -1 -7 Given A= [250

-1 1 6 400

-1 -1 -5] 150]

Solve the matrix equation Ax=bAx=b for xx

x= =

[ ___

___

___]

12. Write out the matrix equation for this given system of equations
z + 2x = 200

?3z + y ? 5x = 300

3z + 7x = 150

Requirements: each problems

Learning Goal: I’m working on a algebra writing question and need an explanation and answer to help me learn.

1) A Linear Equation is a rule that assigns to each number x on the x-axis exactly one number y on the y – axis so that the ordered pairs (x,y) form a line. We call y the Dependent Variable and we call x the Independent Variable because the value assigned to y by the linear equation will depend on the value selected for x.

Now consider this scenario: we can burn 4 calories by walking 100 steps. The linear equation modeling this scenario is C=0.04*S where C is the dependent variable and S is the independent variable. Here, C represents calories burned for some number of steps S walked.

You will create a new linear model that shows the amount of calories burned in a given day during some activity you choose, compensating for food intake. Produce a model with a reasonable rate of calorie burn for walking, running, or some other activity, and account for a daily calorie intake between 1200 and 3000 calories. Be sure to describe the detailed scenario for which your equation models. Conclude your post by rewording the following questions to fit your scenario:

1) How many calories have been burned after 1 typical session of activity?

2) How much activity does it take to burn all the calories eaten in one day?

2)x3 times x2 is not equal to x6. Why not? What is it? Please write a new exponent rule problem for others to solve – try to make a problem that requires different exponent rules to solve.

You can type exponential expressions and fractions using Equation tool under Insert in the menu bar.

3) In the 1939 movie The Wizard of Oz, upon being presented with a Th.D. (Doctor of Thinkology), the Scarecrow proudly exclaims, “The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side.” Analyze the statement made by the Scarecrow. Present your analysis and give a complete description of the triangles that satisfy the statement.

Find another example of math being used in:
Movies, television, popular culture, art, music and harmonics, scientific research papers, newspapers or magazine articles, nature and natural phenomena, voting, national security, manufacturing, logistics, transportation, healthcare, business, economics, or some noteworthy or pivotal historical moment.

Research and explain whether or not the math was used correctly.

For initial post, please respond to this week’s discussion prompt. You must

1. analyze the statement made by the Scarecrow and
2. find another example of math being used in movies, art, etc.

Here is my example of math being used in a movie.

In the 2001 movie A Beautiful Mind, John Nash Jr, a mathematical genius uses a Game Theory concept to analyze a certain situation happening at the bar and introduces Nash equilibrium concept. The situation at the bar was well analyzed as a congestion game

4) The solutions of the quadratic equation Ax2+Bx+C=0 are called roots and are given by a famous equation called the Quadratic Formula. In the quadratic formula, the terms B2 – 4AC underneath the radical have a special name: the Discriminant.

Discuss the relationship between the discriminant of a quadratic polynomial and the quantity of real roots it possesses. Explain the positioning of the roots of the polynomial on its graph with respect to the discriminant and the sign of the discriminant.

 Problem Solving – Data Analysis (Mathematical Reasoning)

 You’ll practice your problem solving skill by identifying foundational statistical concepts and explaining how data-driven decision making can help inform real world problems. This will provide you with a solid foundation that will help you to not only be successful in this course, but to learn to make smarter, data-driven decisions in your personal and professional life.

 Practice your problem solving skill by answering questions about statistical concepts and the benefits and uses of data-driven decision making.

Steps to Complete:

STEP 1: Answer the questions below in a Word document.

STEP 2: Save and submit your Word document in the Assignment link in the Week 3 Submit page in BlackBoard.

1. Explain the difference between descriptive and inferential statistical methods and give an example of how each could help you draw a conclusion in the real world.

2. You would like to determine whether eating before bed influences sleep patterns. List each step you would take to conduct a statistical study on this topic and explain what you would do to complete each step. Then, answer the questions below.

• What is your hypothesis on this issue?
• What type of data will you be looking for?
• What methods would you use to gather information?
• How would the results of the data influence decisions you might make about eating and sleeping?

3. A company that sells tea and coffee claims that drinking two cups of green tea daily has been shown to increase mood and well-being. This claim is based on surveys asking customers to rate their mood on a scale of 1–10 after days they drink/do not drink different types of tea. Based on this information, answer the following questions:

• How would we know if this data is valid and reliable?
• What questions would you ask to find out more about the quality of the data?
• Why is it important to gather and report valid and reliable data?

4. Identify two examples of real-world problems that you have observed in your personal, academic, or professional life that could benefit from data driven solutions. Explain how you would use data/statistics and the steps you would take to analyze each problem. You may also choose topics below (or examples from the weekly content) to help support your response:

• Productivity at work.
• Financial decisions and budgeting.
• Health and nutrition.
• Political campaigns.
• Quality testing in products.
• Human resource policies.
• Algorithms for programming/coding.
• Accounting & financial policies.
• Crime reduction and trends.
• Environmental protection / Emergency preparedness.

5. How does analyzing data on these real-world problems aid in problem-solving and drawing conclusions? Be sure to note the value and benefits of data-driven decision-making.

A hugeinternational oil company is considering its strategy in the Arctic Sea. The UK government has announced that a new drilling site in the Arctic Sea will be offered for sale on a competitive tender basis, the site going to the company making the highest bid. Temporary exploration of the site indicates that, over its life, it can be expected to generate revenue of around £1500 million if the oil reserves turn out to be high, but only £500 million if they turn out to be low. Seismic tests have indicated that the probability of high reserves is 0.60.

If the company is successful in its bid, it will also have to decide whether to construct a new oil rig for the site or to move an existing oil rig which is currently operating at an uneconomic site. The costs of the new rig are around £250 million and for moving the existing rig around £100 million. A new rig would be able to boost production by £150 million if reserve levels turned out to be high. The company has decided that if it is to bid for the site, the maximum bid it can afford at present, because of its cash flow situation, is £750 million. In the past, 70 per cent of the company’s bids for such sites have been successful.

However, the company is also under pressure to refurbish some of its existing rigs for both efficiency and safety reasons. The £750 million could be used for this purpose instead. If the money is used for refurbishment, there is a 50 per cent chance of increasing efficiency to generate a return on the £750 million of 5 per cent, and a 50 per cent chance of generating a return of 10 per cent. If the decision to refurbish takes place after the bid has been made and failed, only £500 million will be available.

(a)Construct a decision tree for this problem.

Report Instructions: In this report, you must examine how IT is used in an industry that you are interested in. 

You must define the industry, describe key issues and current IT trends. A secondary goal is for you to learn about and use sources like ONET, IBIS World and Gartner. (Length: 2.25-2.5 pages: please do not go over or under).

• Introduction: Discuss what the paper is about

• A small section on your Career and Industry: 

For your career– What kind of career are you interested in? 

(Feel free to discuss your entry-level career and your career 10 years down the road!). Use ONET or a similar site 

(and be sure to reference it at the end). As far as your industry, the IBIS source is great to use. Include the 

following:

*Industry NAICS title and code. Please include a source citation.

*Industry Size (typically measured in billions of dollars). Please include a source citation.

*Industry Competitors (two to three sample firms). Please include a source citation.

• A larger section on the one (or two–no more) strategic IT Trend (from Gartner articles) that impacts you

10 strategic IT trends impacts your industry the most? For your industry, look up each strategic IT trend and note 

which ones produce the most/best results. Another strategy to try is to use other sources (Google) to identify 

trends in your industry and then use Gartner to learn more about one or two of the trends. Be specific in this 

section. Use Gartner as a source (and be sure to cite it in your post and reference it at the end) and include 

source citations. Include specific examples of that trend affecting specific firms in your industry.

• Conclusion: wrap up your report

Format: Microsoft Word document, double-spaced, 1-inch margins, Times New Roman 12-point font. Word Count 

excludes references at the end. Do not write your name, my name or the date on the first page. Just title your report at the 

top and start right in with your introduction.

In-Post Citations, References and Quotation Marks: You should have at least five cites (citations) WITHIN the paper 

AND five corresponding references at the end. One cite and reference needs to come from Gartner.