# Category: Algebra(Page 1 of 2)

Digital music distribution provides an opportunity for everyone to get their music heard. In order to get on a service like iTunes, one needs to pay for distribution through a service like Tunecore or CD Baby. These services make sure that your music is heard on different platforms. One of the most important streaming services is SPOTIFY.
Suppose the distributor charges the artist a \$50.00 cost for distribution, and the streaming services pay \$5.00 per unit. (Note: One unit = one thousand streams)
Model the profit for the total number of streams by answering the questions below:
1. Use the cost for distribution to build the y-intercept. What is the y-intercept?
(Hint: the y-intercept is a point on the y axis, so the answer should be an ordered pair (x,y). Keep in mind that money is being spent, and therefore must be deducted from the profit. If the y-intercept is incorrect, all related numbers will be incorrect.)
2. Use the payment per unit to build the slope. What is the slope?
3. Use the slope-intercept format (y=mx+b) to give the equation of the line. What is the equation of this line?
4. Graph the line by adjusting the sliders below. Show the line by attaching an image of the graph below. (Hint: take a screenshot and upload it as an image.)
Use the equation from question 3 to answer questions 5−7. (Hint: Remember one unit = one thousand streams.)
5. After how many streams will the distributor charges be paid? (Hint: this is where the line crosses the x-axis. This is the break-even point.)
6. How many streams would it take to profit \$950,000?
7. According to new research in 2021, Puerto Rican Reggaeton star Bad Bunny again took the title of most-streamed artist in the world on Spotify. He received over 9.1 billion streams (9,100,000,000)without releasing a new album last year.
Use this number of streams with your equation to calculate how much money Bad Bunny may have made via Spotify. (Worlds Most Streamed Songs (Spotify), 2021)
Fun Facts:
Bad Bunny is followed by singer-songwriter Taylor Swift, whose “Red” (Taylor’s Version) gave old and new fans alike a reason to relive the artist’s early groundbreaking work. Rounding up 2021’s top three is BTS. The globally beloved K-pop group had a standout year thanks to their single “Butter.”
Canadian hip-hop artists Drake—who released Certified Lover Boy in September—and Justin Bieber—whose 2021 album Justice featured collaborations with artists from across the globe—take spots four and five, respectively.
How much does Spotify pay per stream? (2021, February 24). Businessinsider.Com. Retrieved January 30, 2022, from https://www.businessinsider.com
Worlds Most Streamed Songs (Spotify). (2021, January 12). Spotify.Com. Retrieved January 30, 2022, from https://newsroom.spotify.com/2021-12-01/what-the-world-streamed-most-in-2021/

Step 2: Open the file “Systems of Equations”.
Step 3: Go through ALL the story problems provided and solve them.
Step 4: Show your work as explained in Step 1.

1. In 100 words explain the post modern worldview and how it relates to the title of the video.
2. Describe how this worldview has affectedyour own actions and thoughts in a minimum of 250 words.
I have uploaded the transcript of the video for you to refer to.

Create similar problems to the ones below that apply to something in your life. Then: type up your invented problem describing how it applies to your life and solve it.
x/2 + x/3=4
6(2x-5)+3(x+1)
(3x)-4

Curve-fitting Project – Linear Model
Instructions
Conceptual Overview
For this assignment, you will be required to choose a topic and find or choose the associated data set. After that, you must answer ALL of the questions, below.
You may use one of the three data sets and associated scenarios that I will attach to the project.
Collect your own data. You must collect at least 20 data points. The topic can be something you are interested in such as sports, a hobby, the weather, etc. OR
Use one of the three data sets attached. Each of the data sets contain a description of the data and the data.
Agriculture.xlxs
House Sales.xlxs
Temperature Change.xlxs
Questions for Linear Regression Model
(LR-1)
Describe your topic, provide your data, and cite your source. Collect at least 20 data points or use one of the attached data sets.
Discussion Posting: Post the information describe above in the Linear Model Project discussion as well as in your completed project. Include a brief informative description in the title of your posting.
The idea with the discussion posting is two-fold: (1) To share your interesting project idea with your classmates, and (2) To give me a chance to give you a brief thumbs-up or thumbs-down about your proposed topic and data.
(LR-2)
Plot the points (x, y) to obtain a scatterplot. Include the scatterplot in the answer to your question(s).
Use an appropriate scale on the horizontal and vertical axes and be sure to label carefully. Visually judge whether the data points exhibit a relatively linear trend. (If so, proceed. If not, try a different topic or data set.)
(LR-3) Find the line of best fit (regression line) and graph it on the scatterplot. Include the scatterplot and plotted line of best fit in the answer to your question(s). State the equation of the line.
(LR-4) State the slope of the line of best fit. Carefully interpret the meaning of the slope in a sentence or two.
(LR-5) Find and state the value of r2, the coefficient of determination, and r, the correlation coefficient. Discuss your findings in a few sentences. Is r positive or negative? Why? Is a line a good curve to fit to this data? Why or why not? Is the linear relationship very strong, moderately strong, weak, or nonexistent? How do you know?
(LR-6) Choose a value of interest and use the line of best fit to make an estimate or prediction. Show calculation work and include that work in your answer.
(LR-7) Write a brief narrative of a paragraph or two. Summarize your findings and be sure to mention any aspect of the linear model project (topic, data, scatterplot, line, r, or estimate, etc.) that you found particularly important or interesting.
You must submit all of your project in one document. You must answer all of the questions above in the document. Label your answers, clearly. Also, all graphs, numeric analyses/results must be included in the same document. Projects are graded on the basis of completeness, correctness, ease in locating all of the checklist items, and strength of the narrative portions.
I have supplied the following data sets with descriptions. However, you may choose a topic of your own and find the associated data. There must be a minimum of 20 data points in the data set if you decide to find your own data.
Agriculture.xlxs
House Sales.xlxs
Temperature Change.xlxs
For Excel, you will need the Analysis ToolPak.
To load and activate the Analysis ToolPak:
Click the File tab, click Options, and then click the Add-Ins category.
In the Manage box, select Excel Add-ins and then click Go.
If you’re using Excel for Mac, in the file menu go to Tools > Excel Add-ins.
In the Add-Ins box, check the Analysis ToolPak check box, and then click OK.
If Analysis ToolPak is not listed in the Add-Ins available box, click Browse to locate it.
If you are prompted that the Analysis ToolPak is not currently installed on your computer, click Yes to install it.
Note: To include Visual Basic for Application (VBA) functions for the Analysis ToolPak, you can load the Analysis ToolPak – VBA Add-in the same way that you load the Analysis ToolPak. In the Add-ins available box, select the Analysis ToolPak – VBA check box.

n this discussion, you will be assigned two equations where you will complete a variety of math work related to mathematical functions. Read the following instructions in order and view the MAT222 Week 5 Discussion Example
to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)
Solve the following Problems
6
48 on pages 708 – 711
12 on pages 719–723
For each of the above problems, do the following:
For each of your equation, write down five (5) points on the graph of each equation (you do not have to submit your graph. Draw the graph using paper/pencil or use online graphing calculators like Desmos Graphing Calculator
For each of your equation, does the graph of each equation have any intercepts? If yes, what are they? If not, why not?
State the domain for each of your equations. Write them in interval notation.
State the range for each of your equations. Write them in interval notation.
State whether each of the equations is a function or not giving your reasons for the answer.
Select one of your graphs and assume it has been shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
Incorporate the following four 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 the thought behind your math work.
Function
Relation
Vertical Line test
Transformation
Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.

ALL CALCULATION MUST BE SHOWN TO EARN FULL MARKS.
IT IS EXPECTED THAT TECHNIQUES FROM THIS CLA (SOLVING SYSTEMS USING MATRICES) WILL BE USE FOR SOLVING PROBLEMS, WHEN APPROPRIATE.
MARKS WILL BE DEDUCTED FOR NOT FOLLOWING THESE INSTRUCTION.

Use data from a particle in motion that is defined by a quadratic function
Graph a parabola
Determine the domain and range of a quadratic function
Identify Minima/Maxima
Define intervals of increase and decrease
Locate a parabola’s vertex
Locate zero’s of a quadratic function
Locate the y-intercept of a quadratic function
Write the equation of a quadratic function (standard, factored, vertex forms)
A particle is released to move from a wall to move across a vacuum chamber. A few of the particles x and y positions are measured and recorded. The x values are the particle’s horizontal position from the wall and the y values are the vertical position from the floor. The motion and data are given in the following picture and table. The maximum height of the particle is at occurs when it is 12 cm from the wall and a height of 8 cm from the floor.

In this discussion, you will solve quadratic equations by two main methods: factoring and using the quadratic formula. Read the following instructions in order and view the MAT222 Week 4 Discussion Example
to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)
Use FACTORING to solve
Use the QUADRATIC FORMULA to solve
6 x2 – 9x + 14 = 0 12 on p. 646
For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.
For the quadratic formula problem, be sure that you use readable notation while you are working the computational steps. Refer to the Inserting Math Symbols handout for guidance with formatting.
Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
Incorporate the following four 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.