Umuc math 107 final exam answers

MATH 107 UMUC Midpoint of The Segment & Linear Regression Unemployment Rate Exam
Subject
Mathematics

Course
Math 107

School
University of Maryland Global Campus

Department
MATH

Question Description
Attached is a 20 question final for Math 107 from UMUC. The attachment is the only document I was given

MATH 107 Final Exam (Fall 2020) Instructions: READ the instructions below carefully and let me know if you have any questions. • • • • • • The Final Exam is worth 100 points. The Final Exam is open book and open notes, and you may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. Please download the attached Exam template (Word document). Save this file as YourLastName_Final. If any of the equations are not clear in your word processing software, please refer to the attached pdf file for clarification. However, you must complete your work electronically using the template and submit your completed quiz as a WORD document. Type your work (using a math editor or the appropriate math symbols) in the column marked Work/Answer. Show the algebraic steps that you used with one operation per line. Let me know if you have any questions about showing your work. Answers without the appropriate work shown will not earn full credit. Make sure your final answer is clearly indicated. When you have completed the exam, save your work as a Word document (filename: YourLastName_Final) and upload it to the Assignment link. Your completed Final Exam must be received before 11:59 pm on Tuesday, 12/15/20. The Final Exam will not be returned, but scores will be posted to grades within 48 hours of the due date. Remember: • • • Show your work. Answers without work will not earn full credit. Partially correct work will earn partial credit. Write your final answer on the line specified "Answer". Express your answers as exact values unless otherwise specified. Problem Work/Answer 1 Simplify the expression: 3√98 − 2√80 − 5√8 + √45 Answer: 2 Simplify the expression: 3 √ −32𝑎7 𝑏6 Answer: Page 1 of 8 MATH 107 Final Exam (Fall 2020) 3 Rationalize the denominator and simplify: 2𝑥 2 − 9𝑥 + 4 √𝑥 − 2 Answer: 4 Solve the inequality and express your answer using interval notation: 5 − |2𝑥 + 1| ≤ 2 Answer: 5 Algebraically determine whether symmetry exists about the x-axis, y-axis, and origin: a) 𝑥 3 − 2𝑦 2 + 9 = 1 b) 2𝑥 2 − 𝑦 2 = 1 2 Answer: a) b) 6 For problems 6, 7, and 8, refer to the graph of 𝑦 = 𝑓(𝑥) shown below, which intersects the x-axis at (−√3, 0), (0, 0),and (√3, 0). Page 2 of 8 MATH 107 Final Exam (Fall 2020) a) Does the function appear to be even or odd? Explain. b) State the interval(s) where the function is increasing. c) Is there a local minimum? Explain. d) Is there a global minimum? Explain. Answer: a) b) c) d) Page 3 of 8 MATH 107 Final Exam (Fall 2020) 7 Refer to the graph of 𝑦 = 𝑓(𝑥) above. a) What is the midpoint of the segment connecting points B and D? b) What is the distance between points B and C? Answer: a) b) 8 Refer to the graph of 𝑦 = 𝑓(𝑥) above. If the graph of 𝑦 = 𝑓(𝑥) is transformed into 𝑦 = −2𝑓(𝑥 + 3) + 1, a) What are the new coordinates of point A? b) What are the new coordinates of point C? Answer: a) b) 9 From 2010 to 2016, the quarterly unemployment rate for all veterans showed a steady decline (BLS.gov). The equation of the linear regression line is 𝑦 = −0.8049𝑥 + 9.1059, where x is the number of years after 2010 (first quarter) and y is the unemployment rate in percent. R2 is 0.9482. Please answer the following in complete sentences. a) What is the value of the correlation coefficient, r? Is this a strong correlation? b) According to this model, approximately when will 2% unemployment be reached? Report to the nearest quarter (or round to the nearest tenth of a year, your choice!). c) What is the estimated rate of unemployment in 2020 (first