In this discussion, you will work in small groups in online discussions to explore applications of Fibonacci numbers and the Golden Ratio in music, art, and nature. This group discussion will help prepare you for the Module 6 assignment, in which you will research an application of mathematics in art or music. Instructions: Use Google (or another search engine) to find a use of Fibonacci […]

MTH 461: Survey of Modern Algebra, Spring 2021Lecture 18 Cayley’s Theorem How can we understand all finite groups? One way, which we return to later, is to try and classify, i.e. list, all groups up to isomorphism. Here is another way to “understand all finite groups”: show that all such groups are isomorphic to subgroups of groups we understand. This can be done using the […]

MTH 461: Survey of Modern Algebra, Spring 2021Homework 6 Homework 5 1. Determine whether each map defined is a homomorphism or not. If it is a homomorphism, prove it, and also determine whether it is an isomorphism. (a) The maps φ1 , φ2 , φ3 ∶ pRˆ , ˆq Ñ GL2 pRq given by the following, for each a P Rˆ : ˆ ˙ ˆ […]

Quiz #2Name___________________________________ ESSAY. Write your answer in the space provided or on a separate sheet of paper. Find the real solutions of the equation. (Show your work) 1) (3x – 2)2 – 9(3x – 2) + 18 = 0 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the inequality. Express your answer using interval notation. 2) 8x […]

If f(x) = 4×2 – 3x + 2, evaluate f(-1). State the domain of the function f(x) = (x+3)/(x-1). Write the equation of the line that passes through the points (1, 1) and (2, 4). Write your answer in slope-intercept form. Write the equation of the line with a slope of 2/3 and y-intercept of 1. Write your answer in slope-intercept form. Solve the equation: […]

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Lesson 4: Elevator graphsLESSON 4: CORE ACTIVITY 1. Sketch the graph of each elevator ride described. Plot points first, then draw your line through the points a. Start the elevator on floor 4 and make the elevator rise at a rate of 1 floor per second. c. Start the elevator on floor 11 and make the elevator descend at a rate of 1 floor per […]

415Topic 10: Understanding slope and intercepts Lesson 4: Identifying Intercepts LESSON 4: OPENER Use the graph to answer the following questions. 1. Identify the point on the line that represents the y-intercept. What are the coordinates of this point? 2. Identify the point on the line that represents the x-intercept. What are the coordinates of this point? 3. Use the x- and y-intercepts to calculate […]

Excel Mini-Project 2: Graphing LinesName: Overview Directions Instructor: We are going to learn how to graph linear data on Excel. We will also learn about b We will see how to turn data into a graph a Step 1: Recognizing that our data is linear: Go to Sheet2 and view the data and answer question 1 on Sheet4. Create a scatterplot to view the data […]

MTH/213 v9 Math Standards Analysis Complete Parts 1 and 2 below. Part 1: Table Access your state’s Department of Education website and locate your state’s mathematics standards. Select a group of related standards (sometimes called a domain or strand). An example could be “Addition & Subtraction.” Identify the following: State: Standard Group (Domain/Strand): Website URL for your state standards: Complete the table below according to […]