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    Basic Algebra

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    Solving the Quadratic Equation by Factoring

    Explain the four steps used in solving the quadratic equation Given a quadratic equation: ax ² + bx + c Solve the equation for zero by factoring. Four Steps to solve by factoring using the following example y=x2 + 2x + 1, note; a=1, b=2, and c=1

    Four Steps for Solving Quadratic Equations

    Explain the four steps for solving quadratic equations? Can any of the steps be eliminated? Can any of the steps be changed? Would you add any steps to make it easier, or to make it easier to understand?

    Price per square feet is presented in this case.

    10. Use the five steps for problem solving to answer the following question. Please show all of your work. The cost to purchase and install carpet in a 15 ft. by 16 ft. rectangular room was more than $6000. What was the price per sq. ft. to buy and install the carpet?

    Determining the number of callers

    Ashley's Department Store in Kansas City maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party t

    Statistical Methodologies are examined.

    Using the attached: (A) Analyze the output above to determine what percentage of Americans will exercise between 11 and 21 minutes per week. (B) What percentage of Americans will exercise less than 15 minutes? If 1000 Americans were evaluated, how many would you expect to have exercised less than 15 minutes?

    Equations about the amount of white paint are examined fully.

    Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Ricks Paint Store sells a special shade of pink paint (Ricky's Blush) which can be made from red paint and white paint. The amount

    Characteristics of an exponential function

    Identify the important characteristics of an exponential function. Explain the difference between the graph of an exponential growth function and an exponential decay function and give an example of each type of function.

    Proportionality Constant

    To estimate gorilla populations, biologists count the total number of gorillas in a small section of their habitat. The total population of gorillas is directly proportional to the size of the habitat (in acres) polled. a.Write an equation that describes the relation between the number of gorillas and the size of their hab

    Use algebra to solve these problems about firms' costs and prices.

    1. A company has a total cost of $50.00 per unit at a volume of 100,000 units. The variable cost per unit is $20.00. What would the price be if the company expected a volume of 120,000 units and used a markup of 50%? a) $75.00 b) $62.50 c) There is not enough information in the problem to answer d) $67.50 2. Umbrella Co

    Annuities are explicated.

    Part I. Basic Computations 1. Mike's Sport Shop deposits $3,600 at the end of each year for 12 years at 7% annual interest. a. How much will this ordinary annuity be worth at the end of the 12 years? (5 points) Answer: b. How much more will this annuity be worth (annuity due) if Mike deposits the money at the

    This post examines quadratic equations.

    Four different methods of solving a quadratic equation have been discussed in this course: factoring, the square root property, completing the square, and the quadratic formula. Explain under what circumstances each method would be preferred over any of the other methods. Give an example for each circumstance.

    Apply Law of Addition of Logarithms

    Fill in the missing values that make the equations below true: log (base 7) 8 + log (base 7) 9 = log (base 7) ? log (base 2) 3 - log (base 2) ? = log (base 2) 3/5 2log (base 3) 5 = log (base 3) ?

    Cubic population model

    Consider the cubic population model dN/dt=cN(N-?)(1-N) Where c and ? are given constants, such that c>0 and 0<?<1. Note that the population N is measured in units of thousands. Find and classify the steady states N_1<N_2<N_3 of this equation. If the initial population is N_0 describe, without proof, the future of the p

    Algebra Problems to Finding Speed

    Please help with answers to the attached question/problems. I need the detail instructions as to how problems are figured out. Section 2.2 Question 58 1/3x + 1/4 =1/6-x Question number 72 5x = 15-2 (x + 7) Section 2.3 Question Number 32 (Word problem) There were 77 birds on the endanger species list in 20

    Exercise and Heart Rate Polynomial Problem

    ** Please see the attached file for the complete problem description ** I need help of Exercise 79. Please look at attachment where I marked the question that I need help. 79. Exercise and Heart Rate The polynomial given by 1.6t^2 -28t + 200 calculates the heart rate shown in Figure 5.4(b) where t represents the elapsed t

    Lowest Common Denominator

    Provide answers and step by step instructions on the problems: 1. What is the value of "y" for the given value of x and z y= x +z x=3 z=15 2. Rewrite each fraction with the Lowest Common Denominator 4/15, 2/9, 3/5 43/36 + 3/5 + ¼ 3. Order of operations evaluate the following 5 x (3-2) to the 8th

    Algebra Questions Velocity

    MATH133 Unit 3 - Individual Project 2 Solve algebraically. Trial and error is not an appropriate method of solution. You must show all your work. Learn how to type math roots and fractions by clicking on the link in the assignment list. Alternately, you may type 3x as cuberoot (x) and show raising to the nth power a

    Algebra: Simple Interest

    1) A man has a simple discount note for $6,300 at an ordinary bank discount rate of 8.72%, for 60 days. What is the effective interest rate? Round to the nearest tenth of a percent. Use the bankers rule. 2) Find the discount and proceeds on a 3,240 face value note for six months if the discount rate is 9.3%. Round to the near

    the Lagrange interpolating polynomial

    I am submitting a complex set of data points that I would like someone to use, employing LaGrange Interpolation (or any other process that might be more appropriate), to give me another detailed example to use as I try to learn the process and employ it to other problems. The points are: (0,214), (0.11,2022), (0.65,1131), (1

    Solve the quadratic equations by factoring.

    Typing hint: Type x2 as x^2 (shift 6 on the keyboard will give ^) 1) Solve the following quadratic equation by factoring: a) x2 â?' 6x â?'16 = 0 Answers: Show your work here: b) Solve the quadratic equation 6x2 + 3x â?" 18 = 0 using the quadratic formula. Read the information in the assignment list to learn more a

    Four Methods for Solving a Quadratic Equation

    Four different methods of solving a quadratic equation have been discussed: factoring, the square root property, completing the square, and the quadratic formula. Explain under what circumstances each method would be preferred over any of the other methods. Give an example for each circumstance.

    Define square root property.

    What is the square root property and what is it used for? In what form should an equation be, in order to use the square root property? When should the square root property be used instead of factoring?

    Proposition of Algebraically Closed Field

    Let F be a field and let K be an algebraically closed field with F â?? K. If f â??F[x] is irreducible (i.e. if f = m * n , then one of m or n is a constant) and f has a multiple zero in K , then f â?² = 0

    How to find equation of the lines

    line passes through the point (5,1) and has a slope of 2 write an equation for this line find the equation for the line 1,-5 and -4,3 find the equation for the line -2,-1 and -3,4 write equations for the horizontal and vertical lines passing through point (-1,9) consider the line -8x-2y=-5 what is the slope of the

    Algebra word problems

    I am having difficulties with two practice word problems attached. Please help. Word Problems: 1. The octane rating of a gasoline is a measure of the amount of isooctane in the gas. Subaru recommends 91-octane gasoline for the 2008 Legacy 3.0 R. How much 87-octane gas and 93-octane gas should Kelsey mix in order to make 12 g

    Exponential & Logarithmic Functions

    Take the current amount you have in your checking or savings account. Suppose you have a choice of keeping your money for five years in a savings account with a 2% interest rate, or in a five year certificate of deposit with and interest rate of 4.5%. Calculate how much interest you would earn with each option over five years

    Linear Formula & Money Problems

    In 2000, the average cost of tuition and fees at public four- year colleges was $3500, and in 2005 it was $5100. The supporting information is listed below. Note that the known value for 2001 is $3700. 1.) Cost of Tuition Plot (00,162) and (5,201) to see the shape of the line Slope= (201-162)/5 = 7.8