binomial theorem
Binomial theorem for positive integral indexindex if n is a pos
binomial theorem
Binomial theorem for positive integral indexindex if n is a positive integer then the number of terms in an expansion of (x+a) the number of terms in the expansion
Algebra in the Real World
Assignment OverviewThroughout the course, you have lea
Algebra in the Real World
Assignment OverviewThroughout the course, you have learned how algebra relates to many everyday situations. This assignment is designed to give you an opportunity to think about how the course concepts apply to your life. You may apply them to your personal experiences, or you may apply them specifically to your discipline, such as health care, technology, or business.
For this assignment, you will gather ideas from the discussion boards, Internet, and textbook readings to create a clearly formatted paper and to incorporate additional insights and edits, as appropriate. Review/preview the types of equations covered in Weeks 3, 4, 6, 7, 8, and 10.
Assignment InstructionsIn your paper, complete the following. Feel free to include equations and/or graphical representations.
1.Explain in mathematical terms equations that have applications in your personal or professional life.
oChoose 4 equations or functions among those covered in the course, including one from each of the following:
§Linear (Week 3).
§Polynomial of degree > 2 (Week 4) or quadratic (Week 8).
§Rational (Week 6) or radical (Week 7).
§Logarithmic (Week 10) or exponential (Week 10).
2.Analyze how and where each equation is applicable to your personal or professional life.
oApplications may include areas such as business, health care, technology, and/or science.
oPay particular attention to applications that impact your life.
3.Discuss the most surprising aspect of applying algebra to your personal or professional life.
oAfter you identify the aspect, discuss specifically how this application is surprising, unexpected, or even delightful.
oCompare this aspect to other applications of algebra in personal or professional contexts.
Note that examples can run in the background of our lives without us directly plugging in numbers ourselves.
Before submitting your paper, read through the assignment rubric to ensure that you have met the requirements.
Assignment RequirementsYour paper should meet the following requirements:
Written communication: Your writing is free of errors that detract from the overall message.
APA formatting: Resources and citations are formatted according to current APA style and formatting guidelines. Refer to the Evidence and APALinks to an external site. section of the Writing Center for guidance.
Paper length: Write 2–4 pages. Be sure to address all the criteria in the rubric.
Paper structure: Your paper should be set up in a logical format based on topics and include the following:
oA title page.
oHeaders. (Consider including a header for each type of equation: Linear, Quadratic, and so on.)
Competencies MeasuredThe course competencies are measured through individual rubric criteria in each assignment. By successfully completing this assignment, you will demonstrate your proficiency in the following course competencies:
Competency 5: Apply mathematical concepts to the social and natural sciences, business, and everyday life.
oExplain linear equations in mathematical terms.
oExplain polynomial or quadratic equations in mathematical terms.
oExplain radical or rational equations in mathematical terms.
oExplain logarithmic or exponential equations in mathematical terms.
oDiscuss the most surprising aspect of applying algebra to one’s personal or professional life.
Competencies MeasuredBy successfully completing this assignment, you will demonstrate your proficiency in the following course competencies and scoring guide criteria:
Competency 5: Apply mathematical concepts to the social and natural sciences, business, and everyday life.
oExplain linear equations in mathematical terms.
oExplain polynomial (degree >2) or quadratic equations in mathematical terms.
oExplain radical or rational equations in mathematical terms.
oExplain logarithmic or exponential equations in mathematical terms.
oDiscuss the most surprising aspect of applying algebra to one’s personal or professional life.
As a marketing manager, you wish to find a function that relates the demand D fo
As a marketing manager, you wish to find a function that relates the demand D for men’s shirts per month and P the price of one shirt in dollars. Based on the price history, the following data were collected.
Price of One Shirt (P)
Demand (D)
1949
2146
2245
2242
2641
2838
2933
Determine if the above relation (P, D) defines a function or not.
Using Excel, draw a scatter diagram of data. Using Excel, draw a scatter diagram of data. Select the following video link to learn how to create a scatter plot and linear regression: How to Scatter PlotLinks to an external site..
Using Excel, find the line of the best fit of the models.
Add this line in the scatter diagram.
Interpret the slope and y-intercept of this equation.
Express this equation as a function D of P and find its domain.
How many shirts per month will be demanded if the price is $27?
Hello! Please let me know if you have any questions. Attached are the questions.
Hello! Please let me know if you have any questions. Attached are the questions. Other than the two attachments, there is no other necessary materials before starting. Please make sure to have clear handwriting. Make sure the number nine does not look like the letter g. Make sure the variable x looks like an x and not some other type of symbol. Overall, please have neat and legible handwriting. Please only use the indicated methods asked for in the directions. If you have any questions please message me. I will be happy to clear anything up. The second attachment will help for examples. Again, please feel free to contact me with any questions.
Your task for this discussion is as follows:
Use an outside source to search for
Your task for this discussion is as follows:
Use an outside source to search for a quadratic equation that models something from your daily life. (Be sure to cite the source you use.)
Solve the equation in two ways.
Discuss which method you liked better and why.
In your responses to peers, compare and contrast your preferences for how to solve quadratic equations.
In addition please respond to the two peers below:
Given:
-3ab + 4ac – 2ad = -(3ab – 4ac + 2ad)
First, let’s distribute the negativ
Given:
-3ab + 4ac – 2ad = -(3ab – 4ac + 2ad)
First, let’s distribute the negative sign on the right side:
-(3ab – 4ac + 2ad) = -3ab + 4ac – 2ad
Now, you can see that the right side after distributing the negative sign is exactly the same as the original left side:
-3ab + 4ac – 2ad = -3ab + 4ac – 2ad
Since both sides of the equation are identical, this means the equation holds true for all values of a, b, and c. This is because the equation essentially states that the opposite of the expression (3ab – 4ac + 2ad) is equal to the expression itself. This is a property of equality known as the additive inverse, where a number or expression added to its additive inverse equals zero. Therefore, the answer is confirmed.
Please let me know if you have any questions. Attached are the questions. Other
Please let me know if you have any questions. Attached are the questions. Other than the attachment, there is no other necessary materials before starting. Please make sure to have clear handwriting. Make sure the number nine does not look like the letter g. Make sure the variable x looks like an x and not some other type of symbol. Overall, please have neat and legible handwriting. Please only use the indicated methods asked for in the directions. If you have any questions please message me. I will be happy to clear anything up.
17
7t2 – 14t
4t2 – 9
36 – w2
w
Explain in your own words what the meaning of dom
17
7t2 – 14t
4t2 – 9
36 – w2
w
Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero.
Find the domain for each of your two rational expressions.
Write the domain of each rational expression in set notation (as demonstrated in the example).
Do both of your rational expressions have excluded values in their domains? If yes, explain why they are to be excluded from the domains. If no, explain why no exclusions are necessary.
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.Domain
Excluded value
Set
Factor
Real numbers
Your initial post should be at least 250 words in length.
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Please let me know if you have any questions. Attached are the questions. Other
Please let me know if you have any questions. Attached are the questions. Other than the attachment, there is no other necessary materials before starting.