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    Basic Algebra

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    Problems based on Quadratic equations are solved with step by step instructions. These problems involve the graphical method, factor method, and formula method. For complete description of the problems, please see the posted problems.

    1) Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks: a) Solve by factoring. b) Solve by using the quadratic formula. show work 2) For the function y = x2 - 4x - 5, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. b) What is the equation for the line of symmetr

    Quadratic Equations Word Problems : Maximizing Area

    Amanda has 300 feet of lumber to frame a rectangular patio. She wants to maximize the area of her patio. What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation by using the vertex form to find the maximum. Show the work when computing this equation.

    Quadratic Equations Functions

    1. 8x^2 - 24x = 9 2. choose from the following a quadratic with solutions of 9 and 3 a. x^2 - 10x + 27 = 0 b. x^2 - 12x + 27 = 0 c. x^2 - 14x + 25 = 0 d. x^2 - 12x + 29 = 0 3. The height h (in feet) of and object is dropped from the height of s fe

    Quadratic Equations

    1. Solve using the quadratic equation : 8x^2 - 24x = 9 2. choose from the following a quadratic with solutions of 9 and 3 a. x^2 - 10x + 27 = 0 b. x^2 - 12x + 27 = 0 c. x^2 - 14x + 25 = 0 d. x^2 - 12x + 29 = 0 3. The height h (in feet) of and object is

    Quadratic Formula and Vertex Form

    Using the quadratic equation x2 - 4x - 5 = 0, perform the following assignment; Solve by factoring and solve by using the quadratic formula 2) For the function y = x2 - 4x - 5, Put the function in the form y = a(x - h)2 + k.

    Using the vertex form to help find the area of a rectangle.

    Amanda has 400 feet of lumber to frame a rectangular patio. She wants to maximize the area of her patio. What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation by using the vertex form to find the maximum. Show the work when computing this equation.

    Quadratic Equations

    2) For the function y = x2 - 4x - 5, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. Answer: Show work in this space b) What is the equation for the line of symmetry for the graph of this function? Answer: c) Graph the function using the equation in part a. Explain w

    Answering Twenty Algebra Questions

    Please see the attached file. (Questions 1, 2) Solve the absolute value inequality: |4x - 4| >= 1 |r - 4.6| < 9 (Question 3) Multiply and simplify: 6y x 4y + 2 12y + 6 5 (Question 4) Find the domain: f(x) = (x2 + 8x)/(x - 8) (Question 5) Find the LCM: 63x, 9x2, yx3 (Question 6) Simplify:

    Logarithmic and Exponential Functions

    I need clear solutions to problems d,e, and f on the attached PDF. I also need help with this problem: The number of e-coli present in a given culture after t hours is given by the formula: N=1000e^(.69t) The doubling time is five hours a. What is the continuous growth rate? b. What is the annual growth rate?

    Four questions about systems of inequalities

    18. match the system of inequalities to a region in the picture x + 2y <= 8 3x - 2y <= 0 22. solve the system of linear inequalities graphically 3x + 4y <= 12 y >= -3 32. solve the system of linear inequalities graphically, find the coordinates of each corner points, and indicate whether the solution region is bo

    Algebra Word Problems

    3. You buy a new piece of equipment for $11,778 and you receive a cash inflow of 2,000 per year for 10years. What is the internal rate of return? 4. The firm is in a 30% tax bracket and has a 14% cost of capital. Should Propulsion Labs purchase the equipment? Use the net present value method. 5. Propulsion Labs will acquir

    Motivation Concepts Analysis

    Explain the theory below. Facial feedback hypothesis by Laird (1974) - Describe how this theory would AND would not be applicable if applied to one workplace situations. In the instance in which the selected theory of motivation was not applicable to your workplace experience, assess the need to develop and create n

    Exponential Breakdown

    Exponential Model on Growth of Internet Networks 1989- 1996 Internet Network: A global network connecting millions of computers. More than 100 countries are linked into exchanges of data, news and opinions. The Internet is revolutionizing and enhancing the way we as humans communicate, both locally and around the globe. Si

    Systems of Equations Word Problems

    1. You are hiking along the California coast and wonder about the height of a particular Giant Redwood tree. You are 5 feet and nine inches tall and your shadow is 5 feet long. The shadow of the tree is 195 feet long. How tall is the tree? 2. The next two problems are examples of "simple Hindu Algebra", quoted on page 528 of

    Factoring Equations and Simplifying Expressions

    1. Factor. 8m4n - 16mn4 A) 8m4n(1 - 16mn4) B) 8m4n(1 - 2n3) C) 8m4n4(m - 2n) D) 8mn(m3 - 2n3) 2. Factor completely. b2 - ab - 6a2 A) (b - 3a)(b + 2a) B) (b + 3a)(b - 2a) C) (b - 6a)(b + a) D) (b + 6a)(b - a) 3. Factor completely. 3(x - 2)2 - 3(x - 2) - 6 A) 3(x - 4)(x - 1) B) 3(x - 4)(x + 1) C) 3(x

    Fields and Ideals

    Let F be a field and f(x), g(x) be elements of F[x]. Show that f(x) divides g(x) if and only if g(x) is an element of < f(x) >. Note that < f(x) > is an ideal. Below is a problem from an undergraduate course in Abstract Algebra. The book we use is titled "A First Course in Abstract Algebra" by John B. Fraleigh. We have

    Factoring Polynomials

    12 Problems. Please see the attached file for the fully formatted problems. Section 4.1 Find the greatest common factor for each of the following sets of terms. Exercise 14 , , Exercise 42 Factor each of the following polynomials. Exercise 60 Find the GCF of each product. Exercise 62 T

    Creating a Function Command in SQL

    I need a simple SQL program demonstrating the use of CREATE FUNCTION command in SQL. A create table can be used to generate a simple record of items such as name, title, age. The Create Function command will be used to retrieve one specific value. The program should demonstrate and show how you can pass a variable in and outp