Tag: Mathematics Case Studies & Problem Sets

[Solved] Mathematics – Statistics MAT 240 Module Five Assignment Guidelines and Rubric

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[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics) module 5 **files (1)** – ## MAT240ModuleFiveAssignmentTemplate.docx **## MAT240ModuleFiveAssignmentTemplate.docx** Hypothesis Testing for Regional Real Estate Company 3 [ **Note:** To complete this template, repl…

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[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics)

module 5

**files (1)**

– ## MAT240ModuleFiveAssignmentTemplate.docx

**## MAT240ModuleFiveAssignmentTemplate.docx**

Hypothesis Testing for Regional Real Estate Company 3

[
**Note:** To complete this template, replace the bracketed text with your own content. Remove this note before you submit your outline.]

## Hypothesis Testing for Regional Real Estate Company

[Your Name]

Hypothesis Testing for Regional Real Estate Company 1

Southern New Hampshire University

### Introduction

[Describe the purpose of this analysis. Briefly describe how you generated your random sample of 750 houses.]

### Hypothesis Test Setup

[Define your population parameter.]

[Write the null and alternative hypotheses.]

[Specify the name of the test you will use and identify whether it is a left-tailed, right-tailed, or two-tailed test.]

### Data Analysis Preparations

[Provide the descriptive statistics of the sample (sample size, mean, median, and standard deviation).]

[Provide a histogram of the sample.]

[Summarize your sample by writing a sentence describing the shape, center, and spread of your sample.]

[Check whether the assumptions to perform your identified test have been met.]

[Identify the test significance level. For example, α = .05]

### Calculations

[Calculate the sample mean and standard error.]

[Determine the appropriate test statistic, then calculate the test statistic. Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean (Pacific), and the target is 280.]

[Calculate the
_p_ value using one of the following tests:]

| | |
| — | — |
| **Excel Function** | **Type of Test** |
| =T.DIST.RT([test statistic], [degree of freedom]) | Right-tailed |
| =T.DIST([test statistic], [degree of freedom], 1) | Left-tailed |
| =T.DIST.2T([test statistic], [degree of freedom]) | Two-tailed |

[
**Note:** The degree of freedom is calculated by subtracting 1 from your sample size.]

[Use the normal curve graph as a reference to describe where the
_p_ value and test statistic would be placed.]

### Test Decision

[Compare the relationship between the
_p_ value and significance level.]

[Decide to reject or fail to reject the null hypothesis.]

### Conclusion

[Explain in one paragraph how your test decision relates to your hypothesis and whether your conclusions are statistically significant.]

**## MAT240ModuleFiveAssignmentTemplate.docx**

Hypothesis Testing for Regional Real Estate Company 3

[
**Note:** To complete this template, replace the bracketed text with your own content. Remove this note before you submit your outline.]

## Hypothesis Testing for Regional Real Estate Company

[Your Name]

Hypothesis Testing for Regional Real Estate Company 1

Southern New Hampshire University

### Introduction

[Describe the purpose of this analysis. Briefly describe how you generated your random sample of 750 houses.]

### Hypothesis Test Setup

[Define your population parameter.]

[Write the null and alternative hypotheses.]

[Specify the name of the test you will use and identify whether it is a left-tailed, right-tailed, or two-tailed test.]

### Data Analysis Preparations

[Provide the descriptive statistics of the sample (sample size, mean, median, and standard deviation).]

[Provide a histogram of the sample.]

[Summarize your sample by writing a sentence describing the shape, center, and spread of your sample.]

[Check whether the assumptions to perform your identified test have been met.]

[Identify the test significance level. For example, α = .05]

### Calculations

[Calculate the sample mean and standard error.]

[Determine the appropriate test statistic, then calculate the test statistic. Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean (Pacific), and the target is 280.]

[Calculate the
_p_ value using one of the following tests:]

| | |
| — | — |
| **Excel Function** | **Type of Test** |
| =T.DIST.RT([test statistic], [degree of freedom]) | Right-tailed |
| =T.DIST([test statistic], [degree of freedom], 1) | Left-tailed |
| =T.DIST.2T([test statistic], [degree of freedom]) | Two-tailed |

[
**Note:** The degree of freedom is calculated by subtracting 1 from your sample size.]

[Use the normal curve graph as a reference to describe where the
_p_ value and test statistic would be placed.]

### Test Decision

[Compare the relationship between the
_p_ value and significance level.]

[Decide to reject or fail to reject the null hypothesis.]

### Conclusion

[Explain in one paragraph how your test decision relates to your hypothesis and whether your conclusions are statistically significant.]

November 6, 2026
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[>Geometry homework help](https://www.sweetstudy.com/fields/mathematics-geometry)

Revew offer

November 6, 2026
[Solved] math

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Detailed Explanation: Area of a Triangle FormulaThe area of any triangle can be calculated using the following formula:Area = ½ × base × heightOr written another way:Area = (base × height) ÷ 2 Given Information- Base (b)= 10 centimeters- Height (h)= 6 centimeters Step-by-Step CalculationStep 1:Multi…

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Detailed Explanation: Area of a Triangle FormulaThe area of any triangle can be calculated using the following formula:Area = ½ × base × heightOr written another way:Area = (base × height) ÷ 2 Given Information- Base (b)= 10 centimeters- Height (h)= 6 centimeters Step-by-Step CalculationStep 1:Multiply the base by the height- base × height = 10 cm × 6 cm = 60 cm²Step 2:Divide the result by 2 (or multiply by ½)- 60 cm² ÷ 2 = 30 cm²Area = 30 square centimeters (cm²)• Why This Formula WorksThe formula works because:- A rectangle with the same base and height would have area = base × height- A triangle is exactly half of that rectangle (if you cut a rectangle diagonally)- Therefore, the triangle's area is half of the rectangle's area• Visual Representation * /| / | height = 6 cm / | / | /___ |____ base = 10 cmThe height must be the perpendicular distance from the base to the opposite vertex (not the slanted side length).So the final answer is 30 cm² shorten it and make it simple

November 6, 2026
[Solved] assitant needed mths Kenniqua

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[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra) please see attachment **files (1)** – ## MTH111Exam3Part2.pdf **## MTH111Exam3Part2.pdf** MTH 111 College Algebra Exam 3, Part 2 Name ______________________ Student ID _______________…

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[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra)

please see attachment

**files (1)**

– ## MTH111Exam3Part2.pdf

**## MTH111Exam3Part2.pdf**

MTH 111 College Algebra Exam 3, Part 2

Name ______________________

Student ID ______________________

Print and answer all of the following questions in your own handwriting. Be sure that all
answers are legible. Typed submissions will not be accepted. When completed, scan as a
PDF document (apps are available for this), and upload through Moodle by the due date
listed. No late submissions will be accepted. This part of the exam is worth 25 of the 100
points possible for Exam 3.

ALL WORK MUST BE SHOWN TO RECEIVE FULL CREDIT. Unsupported answers will not
receive credit. Please clearly mark your final answer.

1. Given the function 𝑓(𝑥) = |𝑥|, apply the following transformations in order, giving the
resulting equations for each transformation. Be sure to indicate your final equation.
Graph each step of the transformation separately on the same graph. Be sure to
indicate the final graph.

a. Shrink vertically by a factor of ½.
b. Shift 2 units to the right.
c. Shift downward 1 unit.

2. A stone is dropped into a lake, creating a circular ripple that travels outward at a
speed of 45 cm/s.

a. Find a function 𝑔 that models the radius as a function of time.
b. Find a function 𝑓 that models the area of the circle as a function of the radius.
c. Find 𝑓 ∘ 𝑔. What does this function represent?

MTH 111 College Algebra Exam 3, Part 2

Name ______________________

Student ID ______________________

3. The number of oranges grown by a tree depends on how densely the trees are planted
at a farm. If 𝑛 trees are planted on an acre of land, then each tree produces 630 − 9𝑛
oranges. Thus, the number of oranges produced per acre is 𝑂(𝑛) = 𝑛(630 − 9𝑛). How
many trees should be planted per acre to get the largest yield of oranges?

4. Find a polynomial of degree 5, with zeros -1, 0 (multiplicity 2), 1, and 2, and that has
a coefficient of 𝑥 of 4.

5. For the function 𝑟(𝑥) = , find all holes, intercepts, and asymptotes, sketch

the graph, and state the domain and range.

**## MTH111Exam3Part2.pdf**

MTH 111 College Algebra Exam 3, Part 2

Name ______________________

Student ID ______________________

Print and answer all of the following questions in your own handwriting. Be sure that all
answers are legible. Typed submissions will not be accepted. When completed, scan as a
PDF document (apps are available for this), and upload through Moodle by the due date
listed. No late submissions will be accepted. This part of the exam is worth 25 of the 100
points possible for Exam 3.

ALL WORK MUST BE SHOWN TO RECEIVE FULL CREDIT. Unsupported answers will not
receive credit. Please clearly mark your final answer.

1. Given the function 𝑓(𝑥) = |𝑥|, apply the following transformations in order, giving the
resulting equations for each transformation. Be sure to indicate your final equation.
Graph each step of the transformation separately on the same graph. Be sure to
indicate the final graph.

a. Shrink vertically by a factor of ½.
b. Shift 2 units to the right.
c. Shift downward 1 unit.

2. A stone is dropped into a lake, creating a circular ripple that travels outward at a
speed of 45 cm/s.

a. Find a function 𝑔 that models the radius as a function of time.
b. Find a function 𝑓 that models the area of the circle as a function of the radius.
c. Find 𝑓 ∘ 𝑔. What does this function represent?

MTH 111 College Algebra Exam 3, Part 2

Name ______________________

Student ID ______________________

3. The number of oranges grown by a tree depends on how densely the trees are planted
at a farm. If 𝑛 trees are planted on an acre of land, then each tree produces 630 − 9𝑛
oranges. Thus, the number of oranges produced per acre is 𝑂(𝑛) = 𝑛(630 − 9𝑛). How
many trees should be planted per acre to get the largest yield of oranges?

4. Find a polynomial of degree 5, with zeros -1, 0 (multiplicity 2), 1, and 2, and that has
a coefficient of 𝑥 of 4.

5. For the function 𝑟(𝑥) = , find all holes, intercepts, and asymptotes, sketch

the graph, and state the domain and range.

November 6, 2026
[Solved] assitant needed mths Kenniqua

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[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra) please see attachment **files (1)** – ## discussion4.docx **## discussion4.docx** **_Instructions:_** Click on the link below to reply to the given prompt. Then respond to at least two of your classmates' posts as descri…

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Assignment Prompt & Instructions

[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra)

please see attachment

**files (1)**

– ## discussion4.docx

**## discussion4.docx**

**_Instructions:_** Click on the link below to reply to the given prompt. Then respond to at least two of your classmates' posts as described below.

**_Prompt:_** In Section 4.4, we discussed an example with the Law of Forgetting. It states that if a task is learned at a performance level , then after a time interval
_t_ the performance level
_P_ satisfies where
_c_ is a constant that depends on the type of task and
_t_ is measured in months. We then solved for
_P_ to get . Use this to respond to the following.

1. If your performance level is 80 and c = 0.9, what score would you expect to get on a similar task after 3 months?

2. If your performance level is 80 and c = 0.1, what score would you expect to get on a similar task after 3 months?

3. The expression “just like riding a bike” is often used to describe something that comes second nature and should be easy to do. Based on parts (1) and (2), would you expect the value of
_c_ to be closer to 0 or closer to 1 for the task of riding a bike? Justify your answer.

**## discussion4.docx**

**_Instructions:_** Click on the link below to reply to the given prompt. Then respond to at least two of your classmates' posts as described below.

**_Prompt:_** In Section 4.4, we discussed an example with the Law of Forgetting. It states that if a task is learned at a performance level , then after a time interval
_t_ the performance level
_P_ satisfies where
_c_ is a constant that depends on the type of task and
_t_ is measured in months. We then solved for
_P_ to get . Use this to respond to the following.

1. If your performance level is 80 and c = 0.9, what score would you expect to get on a similar task after 3 months?

2. If your performance level is 80 and c = 0.1, what score would you expect to get on a similar task after 3 months?

3. The expression “just like riding a bike” is often used to describe something that comes second nature and should be easy to do. Based on parts (1) and (2), would you expect the value of
_c_ to be closer to 0 or closer to 1 for the task of riding a bike? Justify your answer.

November 6, 2026
[Solved] Mathematics – Statistics Lab Assignment

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[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics) Prepare Download the following documents from the Required Resources. – Week 3 Excel spreadsheet – Week 5 Excel spreadsheet – Week 5 Lab Assignment Template 1. Begin with the 10 heights provided to you by your inst…

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Assignment Prompt & Instructions

[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics)

Prepare

Download the following documents from the Required Resources.

– Week 3 Excel spreadsheet
– Week 5 Excel spreadsheet
– Week 5 Lab Assignment Template

1. Begin with the 10 heights provided to you by your instructor. (Please reach out to your instructor by Monday in Week 5 if you have not received the 10 heights.)
2. To add 10 more values to your lab data, survey or measure 10 people to find their heights. Add these heights to the Week 5 Lab Template along with the 10 provided by your instructor.
3. Determine the mean and standard deviation for the 20 values (your instructor's 10 from Step 1A above plus your 10) by using the **Week 3 Excel Spreadsheet**.
4. Post a screenshot of the portion of the spreadsheet that helped you determine these values.
5. How does your height compare to the mean (average) height of the 20 values? Is your height taller, shorter, or the same as the mean of the sample?

![MATH225_W5_Lab_Example1.png](https://chamberlain.instructure.com/courses/206248/files/41930736/preview)

**Note:** The values in the picture above are **NOT** the values that you are to use in your lab.

Give some background information on the group of people you used in your study. Use the following questions to guide your answers.

1. How did you choose the participants for your study? What was the sampling method: systematic, convenience, cluster, stratified, simple random?
2. What part of the country did your study take place in?
3. What are the age ranges of your participants?
4. How many of each gender did you have in your study?
5. What are other interesting factors about your group?

Use the **Week 5 Excel Spreadsheet** for the following:

1. Use the **Empirical Rule tab** from the spreadsheet. Then, determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the 20 heights in your height study.
2. Post a screenshot of your work from the Week 5 Excel spreadsheet.

![MATH225_W5_Lab_Example2.png](https://chamberlain.instructure.com/courses/206248/files/41930601/preview)

1. What do these values tell you?
2. Post another screenshot of your work from the **Normal Probability tab** from the Week 5 Excel spreadsheet.
3. Based on your study results, what percent of the study participants are shorter than you? What percent are taller than you? (Example: If my height is 73 inches, then 20.86% of the relevant population is shorter. The other 79.14%, of course, is taller).

Be sure your name is on the **Week 5 Lab Assignment Template** (Word document), save it, and then submit it in the assignment dropbox on this page.

– [\
\
Week_3_Descriptives_MATH225N.xlsx](https://www.sweetstudy.com/files/week-3-descriptives-math225n-xlsx "Week_3_Descriptives_MATH225N.xlsx")
– [\
\
2024SEP_MATH225_Week_5_Lab_Assignment_Template.docx](https://www.sweetstudy.com/files/2024sep-math225-week-5-lab-assignment-template-docx "2024SEP_MATH225_Week_5_Lab_Assignment_Template.docx")
– [\
\
Week_5NormalDistribution_Math225N_2025.xlsx](https://www.sweetstudy.com/files/week-5normaldistribution-math225n-2025-xlsx "Week_5NormalDistribution_Math225N_2025.xlsx")

November 6, 2026
[Solved] 703 final

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[>Geometry homework help](https://www.sweetstudy.com/fields/mathematics-geometry)

20pg

November 6, 2026
[Solved] assitant needed mths Kenniqua

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[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra) please see attachment **files (1)** – ## lastdiscussion.docx **## lastdiscussion.docx** **_Instructions:_** Click on the link below to reply to the given prompt. Then respond to at least two of your classmates' posts as …

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[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra)

please see attachment

**files (1)**

– ## lastdiscussion.docx

**## lastdiscussion.docx**

**_Instructions:_** Click on the link below to reply to the given prompt. Then respond to at least two of your classmates' posts as described below.

**_Prompt:_** In Section 4.4, we discussed an example with the Law of Forgetting. It states that if a task is learned at a performance level , then after a time interval
_t_ the performance level
_P_ satisfies where
_c_ is a constant that depends on the type of task and
_t_ is measured in months. We then solved for
_P_ to get . Use this to respond to the following.

1. If your performance level is 80 and c = 0.9, what score would you expect to get on a similar task after 3 months?

2. If your performance level is 80 and c = 0.1, what score would you expect to get on a similar task after 3 months?

3. The expression “just like riding a bike” is often used to describe something that comes second nature and should be easy to do. Based on parts (1) and (2), would you expect the value of
_c_ to be closer to 0 or closer to 1 for the task of riding a bike? Justify your answer.

**## lastdiscussion.docx**

**_Instructions:_** Click on the link below to reply to the given prompt. Then respond to at least two of your classmates' posts as described below.

**_Prompt:_** In Section 4.4, we discussed an example with the Law of Forgetting. It states that if a task is learned at a performance level , then after a time interval
_t_ the performance level
_P_ satisfies where
_c_ is a constant that depends on the type of task and
_t_ is measured in months. We then solved for
_P_ to get . Use this to respond to the following.

1. If your performance level is 80 and c = 0.9, what score would you expect to get on a similar task after 3 months?

2. If your performance level is 80 and c = 0.1, what score would you expect to get on a similar task after 3 months?

3. The expression “just like riding a bike” is often used to describe something that comes second nature and should be easy to do. Based on parts (1) and (2), would you expect the value of
_c_ to be closer to 0 or closer to 1 for the task of riding a bike? Justify your answer.

November 6, 2026
[Solved] assitant needed mths Kenniqua

✓ Verified Academic Solution Available

Executive Solution Overview

[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra) please see attachment **files (1)** – ## MTH111FINALExamPart2.pdf **## MTH111FINALExamPart2.pdf** MTH 111 – College Algebra Exam 4 – FINAL, Part 2 Name ______________________ Student ID ______…

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[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra)

please see attachment

**files (1)**

– ## MTH111FINALExamPart2.pdf

**## MTH111FINALExamPart2.pdf**

MTH 111 – College Algebra Exam 4 – FINAL, Part 2

Name ______________________

Student ID ______________________

Print and answer all of the following questions in your own handwriting. Do not type your
answers, but be sure your answers are legible. When completed, scan as a PDF document, and
upload through Moodle by THURSDAY, August 20 at 9:55pm Eastern time. No late submissions
will be accepted. This part of the exam is worth 70 of the 150 points possible for Exam 4. Each
question is worth 10 points.

ALL WORK MUST BE SHOWN TO RECEIVE FULL CREDIT. Unsupported answers will not receive
credit. Please clearly mark your final answer.

1. Factor completely: 3𝑥 − 10𝑥 − 8

2. Let 𝑓(𝑥) =
𝑥 + 2 𝑖𝑓 𝑥 ≤ 1

− 𝑥 + 1 𝑖𝑓 𝑥 > 1

a. Evaluate 𝑓(0), 𝑓(−2) and 𝑓(1).

b. Sketch the graph of 𝑓.

MTH 111 – College Algebra Exam 4 – FINAL, Part 2

Name ______________________

Student ID ______________________

3. Solve the system:
𝑥 + 2𝑦 + 𝑧 = 3
𝑦 − 𝑧 = −4
−𝑥 − 2𝑦 + 3𝑧 = 9

4. Consider the polynomial function 𝑃(𝑥) = 𝑥 − 𝑥 − 9𝑥 + 9. Respond to the following
statements.

a. Determine the domain of 𝑃(𝑥).
b. Determine the end behavior of the graph 𝑦 = 𝑃(𝑥).
c. Find the 𝑦-intercept of the graph of 𝑃(𝑥).
d. Find all zeros of 𝑃(𝑥), along with their multiplicities.
e. Construct a coordinate plane and sketch the graph of 𝑃(𝑥).

MTH 111 – College Algebra Exam 4 – FINAL, Part 2

Name ______________________

Student ID ______________________

5. Given any rational polynomial, say 𝑅(𝑥) =
( )

( )
, write a short paragraph explaining how one

determines the 𝑥-intercepts and the asymptotes of its graph 𝑦 = 𝑅(𝑥).

6. A soft-drink vendor at a popular beach analyzes sales records and finds that if 𝑥 cans of soda
are sold in one day, then profit (in dollars) from soda sales is given by 𝑃(𝑥) = −0.001𝑥 +

3𝑥 − 1800. What is the maximum profit per day, and how many cans must be sold to
produce this maximum profit?

7. FunTime Carnival wishes to increase the height of their drop-tower attraction to 100 meters,
expecting that the additional height will attract more customers. However, state regulations
insist that the ride’s average free-fall speed may not exceed 20m/s. Supposing that the ride’s
height above ground after 𝑡 seconds is modeled by 𝑠(𝑡) = −4.9𝑡 + 100, determine if FunTime
Carnival is behaving ethically with respect to state regulations in their attempt to increase
profit.

**## MTH111FINALExamPart2.pdf**

MTH 111 – College Algebra Exam 4 – FINAL, Part 2

Name ______________________

Student ID ______________________

Print and answer all of the following questions in your own handwriting. Do not type your
answers, but be sure your answers are legible. When completed, scan as a PDF document, and
upload through Moodle by THURSDAY, August 20 at 9:55pm Eastern time. No late submissions
will be accepted. This part of the exam is worth 70 of the 150 points possible for Exam 4. Each
question is worth 10 points.

ALL WORK MUST BE SHOWN TO RECEIVE FULL CREDIT. Unsupported answers will not receive
credit. Please clearly mark your final answer.

1. Factor completely: 3𝑥 − 10𝑥 − 8

2. Let 𝑓(𝑥) =
𝑥 + 2 𝑖𝑓 𝑥 ≤ 1

− 𝑥 + 1 𝑖𝑓 𝑥 > 1

a. Evaluate 𝑓(0), 𝑓(−2) and 𝑓(1).

b. Sketch the graph of 𝑓.

MTH 111 – College Algebra Exam 4 – FINAL, Part 2

Name ______________________

Student ID ______________________

3. Solve the system:
𝑥 + 2𝑦 + 𝑧 = 3
𝑦 − 𝑧 = −4
−𝑥 − 2𝑦 + 3𝑧 = 9

4. Consider the polynomial function 𝑃(𝑥) = 𝑥 − 𝑥 − 9𝑥 + 9. Respond to the following
statements.

a. Determine the domain of 𝑃(𝑥).
b. Determine the end behavior of the graph 𝑦 = 𝑃(𝑥).
c. Find the 𝑦-intercept of the graph of 𝑃(𝑥).
d. Find all zeros of 𝑃(𝑥), along with their multiplicities.
e. Construct a coordinate plane and sketch the graph of 𝑃(𝑥).

MTH 111 – College Algebra Exam 4 – FINAL, Part 2

Name ______________________

Student ID ______________________

5. Given any rational polynomial, say 𝑅(𝑥) =
( )

( )
, write a short paragraph explaining how one

determines the 𝑥-intercepts and the asymptotes of its graph 𝑦 = 𝑅(𝑥).

6. A soft-drink vendor at a popular beach analyzes sales records and finds that if 𝑥 cans of soda
are sold in one day, then profit (in dollars) from soda sales is given by 𝑃(𝑥) = −0.001𝑥 +

3𝑥 − 1800. What is the maximum profit per day, and how many cans must be sold to
produce this maximum profit?

7. FunTime Carnival wishes to increase the height of their drop-tower attraction to 100 meters,
expecting that the additional height will attract more customers. However, state regulations
insist that the ride’s average free-fall speed may not exceed 20m/s. Supposing that the ride’s
height above ground after 𝑡 seconds is modeled by 𝑠(𝑡) = −4.9𝑡 + 100, determine if FunTime
Carnival is behaving ethically with respect to state regulations in their attempt to increase
profit.

November 6, 2026
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November 6, 2026