1. Solve the following inequalities. a. 11x+62 14x+3 b. 4x-2 -6 c. y=-3x-1 and 3x +...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Solve the following inequalities. a. 11x+62 14x+3 b. 4x-2 -6 c. y=-3x-1 and 3x + y + 1-0 represent the same line. d. If the dependent variable of a linear relation decreases by 7 for every increase of 1 in the independent variable, the slope must be -7. e. For the line 2x-5y + 10 = 0, the y-intercept is -2. 3. Find the equation of a line passing through the two points (4, 2) and (-3, 1). 4. The music preferences of young adults 14 to 19 gathered by Statistics Canada are presented in the following pie chart. 50% Music genres preferred by young adults 14 to 19 13% 25% Alternative: 25% Classical: 2% Country: 10% 2% Rap: 50% Rock: 13% 10% a. What fraction of youth surveyed prefer rock or country or classical? b. What genre is the second least preferred? III Unit 4 Evaluation 4 / 8 100% Unit 4 Evaluation 5. Determine the nature of the intersection of the following pairs of lines without graphing. Justify your answer. a. y=-3x + 1 and y = -3x+1 b. y = -x-3 and x + y = 6 c. y = 8x+2 and 12y = 96x + 24 Q III Unit 4 Evaluation 5 / 8 - 100% d. Graph the equations from 5b (y = == -x- 3 and x + y = 6) in the following 2 space provided. What does the point of intersection represent? 6. A small venue for birthday parties charges a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend? Q III Unit 4 Evaluation TVO ILC 6 / 8 - 100% Unit 4 Evaluation 7. The line y = -3x + 7 is a line of best fit to various data points. Graph possible data points the line of best fit is close to. What R value could this line have? Communication 8. Identify the bias in each case. a. A business wants to determine the challenges employees faced due to the COVID-19 pandemic. The director surveys staff near their office one day after work. Q III Unit 4 Evaluation 7 / 8 100% Unit 4 Evaluation b. Some observations of a study on the employment of high school students are reported more than others. c. A researcher ignores a certain type of data when conducting a study. 9. Why might a misleading graph be created? Q III Unit 4 Evaluation 8 / 8 - 100% Unit 4 Evaluation Thinking 10. A line is parallel to the line y == 7 2 x +9 and passes through the point of intersection of x + y = 10 and 3x - 4y+ 12 = 0. Determine the equation of the line. 11. Given the numbers 2, 9, 10, 11, 18, which number is the mean of the other four numbers? Q 1. Solve the following inequalities. a. 11x+62 14x+3 b. 4x-2 -6 c. y=-3x-1 and 3x + y + 1-0 represent the same line. d. If the dependent variable of a linear relation decreases by 7 for every increase of 1 in the independent variable, the slope must be -7. e. For the line 2x-5y + 10 = 0, the y-intercept is -2. 3. Find the equation of a line passing through the two points (4, 2) and (-3, 1). 4. The music preferences of young adults 14 to 19 gathered by Statistics Canada are presented in the following pie chart. 50% Music genres preferred by young adults 14 to 19 13% 25% Alternative: 25% Classical: 2% Country: 10% 2% Rap: 50% Rock: 13% 10% a. What fraction of youth surveyed prefer rock or country or classical? b. What genre is the second least preferred? III Unit 4 Evaluation 4 / 8 100% Unit 4 Evaluation 5. Determine the nature of the intersection of the following pairs of lines without graphing. Justify your answer. a. y=-3x + 1 and y = -3x+1 b. y = -x-3 and x + y = 6 c. y = 8x+2 and 12y = 96x + 24 Q III Unit 4 Evaluation 5 / 8 - 100% d. Graph the equations from 5b (y = == -x- 3 and x + y = 6) in the following 2 space provided. What does the point of intersection represent? 6. A small venue for birthday parties charges a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend? Q III Unit 4 Evaluation TVO ILC 6 / 8 - 100% Unit 4 Evaluation 7. The line y = -3x + 7 is a line of best fit to various data points. Graph possible data points the line of best fit is close to. What R value could this line have? Communication 8. Identify the bias in each case. a. A business wants to determine the challenges employees faced due to the COVID-19 pandemic. The director surveys staff near their office one day after work. Q III Unit 4 Evaluation 7 / 8 100% Unit 4 Evaluation b. Some observations of a study on the employment of high school students are reported more than others. c. A researcher ignores a certain type of data when conducting a study. 9. Why might a misleading graph be created? Q III Unit 4 Evaluation 8 / 8 - 100% Unit 4 Evaluation Thinking 10. A line is parallel to the line y == 7 2 x +9 and passes through the point of intersection of x + y = 10 and 3x - 4y+ 12 = 0. Determine the equation of the line. 11. Given the numbers 2, 9, 10, 11, 18, which number is the mean of the other four numbers? Q
Expert Answer:
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
Students also viewed these mathematics questions
-
Case Study: The Missing Audit Workpapers By Dennis Greer FACTS: Major "Big 4" Certified Public Accounting firms have three sources of revenue or three divisions: Audit, tax, and Management...
-
Find each quotient. 7 2 6
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Reading material Raymond Frost, Alexa K. Fox & Judy Strauss (2019). Product: The Online Offer. E-Marketing , 9, 206 - 228. Raymond Frost, Alexa K. Fox & Judy Strauss (2019). Price: The Online Value....
-
If f, g L[a, ], show that f g L[a,1]. Moreover, if ||h|| :a |h| for any h L[a,], show that ||f + g|| < ||f|| + ||g||.
-
Find the inverse function of f informally. f(x) = x-5, x 20 f-1(x) =
-
Consider the scenario in Example 3.1, and suppose that an investigator only has enough fertilizer A to use on four plots. Answer the following questions. a. What is the probability that an individual...
-
You have been hired by a group of hotel owners, restaurant owners, and other people engaged in businesses that benefit from tourism on South Padre Island, Texas. They wish to learn how they can...
-
What is Stock X's geometric returns if it has the following returns? Year 1 8% Year 2 -5% Year 3 10% Year 4 -6% Year 5 15%
-
Identify an organisation of your choice in the fashion industry. You are to ensure that you have full access to the relevant information required for this project. Please note that the information...
-
Explain the Family law in Canada and the area it governs. Mention the issues that might seem like it falls under the family law but instead falls under provincial law instead. Elaborate as to why it...
-
1. Define family law and list at least five ways in which it has evolved since the 1970s. 2. Identify a minimum of three ways in which technology is influencing the practice of family law. 3....
-
500 Words with reference citations Describe the role societal values have played in the development of family law. Also include in your discussion response how societal values continue to change and...
-
Choice of Law and Forum The following quote is taken from the Legal Services Society website on family law in British Columbia: "Both the federal Divorce Act and the provincial Family Law Act deal...
-
Identify the impact that Family Law has on business Relate aspects of personal and family law with the obligations and contracts of a business.?
-
Write a brief literature review on Development of business intelligence
-
You have accepted the engagement of auditing the financial statements of the C. Reis Company, a small manufacturing firm that has been your auditee for several years. Because you were busy writing...
-
In the research on leader behaviors, which style of leadership describes the preferred high-high combination? (a) transformational (b) transactional (c) laissez-faire (d) democratic
-
When managers use offers of rewards and threats of punishments to try to get others to do what they want them to do, they are using which type of power? (a) formal authority (b) position (c) referent...
-
In terms of leadership behaviors, someone who focuses on doing a very good job of planning work tasks, setting performance standards, and monitoring results would be described as _________. (a) task...
Study smarter with the SolutionInn App