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    Basic Algebra

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    Solve Using Five-Step Problem-Solving Process

    1. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A rectangular walkway is 18 feet longer than it is wide. If the area of the walkway is 88 square feet, find the length and the width. 2. Solve using the five-step problem-solving process. Show all steps necessary to a

    Quadratic equations

    Hi, Can you please solve this for me and explain as you progress through the steps? Thanks 4 14 - 3s ---------------- + --------------- (s^2 - 3s + 2)(s -2) s^2 - 3s + 2

    Alegbra help

    1. Determine whether the given numbers are solutions of the inequality. 7,-11,-9,-3 y-8>2y-2 Is 7, -11,-19, or -3 a solution? 2. Write the set {x | x ≥ -3} in interval notation. Choose the correct interval. A. [-3, ∞) B. (-∞, -3] C. (-3, ∞) D. (-∞, -3) 3. Write interval notation for

    Various Algebra Problems to Solve

    Can you give me the step by step solutions for the following problems? 14. A die is tossed 120 times. Find the probability of getting the following results. Fewer than twenty-two 6's 18. A company is taking a survey to find out whether people like its product. Their last survey indicated that 70% of the population like

    Algebra Problems: Sales and Growth

    3. In 2002, Home Depot's sales amounted to $58,200,000,000. In 2006, its sales were $90,800,000,000. a. Write Home Depot's 2002 sales and 2006 sales in scientific notation. You can find the percent of growth in Home Depot's sales from 2002 to 2006 by following these steps: Find the increase in sales from 2002 to 2006.

    Vector algebra: Conceptual problems

    1. Given the vector 25 knots [southeast], describe the opposite vector and label and draw a scale drawing of the vector and its opposite. (5 marks) 2. You are given the following vectors. a = 5 N [south] b = 4 N [north] c = 2 N [west] d = 4 N [east] Draw scale diagrams to find: a. a + 3a (2 marks

    Exponential Function: Number of Cars Example Problem

    Suppose that the number of cars, C, on 1st Avenue in a city over a period of time t, in months, is graphed on a rectangular coordinate system where time is on the horizontal axis. Further suppose that the number of cars driven on 1st Avenue can be modeled by an exponential function, C = p * a t (C=p*a^t) where p is the number of

    Solving for Distance and Measurements

    1. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A 4-ft by 6-ft picnic table is placed on an outdoor patio measuring x ft by (x + 2) ft. Find a polynomial for the remaining open space on the patio (in square feet). 2. Solve using the five-step problem-solving proc

    Basic Groups - Positive integers

    For any integer n > 2, show that there are at least two elements in U(n) that satisfy x^2 = 1 Note: For each n > 1, we define U(n) to be the set of all positive integers less than n and relatively prime to n. Then U(n) is a group under multipliction modulo n. Ex. U(10) = {1, 3, 5, 7, 9}

    Need some help on these problems

    1. (4) Evaluate the polynomial for the indicated value of the variable. -4x3 + 2x2 + 5x - 7 when x = -2 2. (4) Total profit is defined as total revenue minus total cost. Below R(x) and C(x) represent the revenue and cost, respectively, from the sale of x futons. R(x) = 280x - 0.7x2 an

    List of Supplementary Resources for Algebra, APA (5th ed.) citations

    Choose one content area and specific subject for example (Algebra, Math). Research one periodical, two trade books, two Internet sites, one software or multimedia program, and one primary source that would enhance instruction in this content area and subject. Can someone help me come find one periodical, two trade books, tw

    Monthly mortgage payments

    John is purchasing a house for $100,000, seeking a mortgage loan for $80,000 or 80% loan to cost. He was offered a loan of at 6% fixed for 30 years. What will Johns monthly payment be? What is the mortgage constant? 5 years later they have a divorce. As part of the settlement they mutually agree to sell the property and pa

    Adjustable Rate Mortgage

    Please help with the following problem. Kris and Chris are purchasing a home for $100,000. they are seeking a mortgage loan for $80,000 or 80% loan to cost. The bank offered them an ARM mortgage starting at 6% for the first year, the rate adjusts every year thereafter, and is amortized using a 30 year schedule. After 1 ye

    measuresment, distance and time

    1. Evaluate the polynomial x^2+ 2y^2- 3xy for x = 3 and y = 4 2. Solve the problem. Show all steps necessary to arrive at your solution. Find a polynomial for the sum of the areas of these circles. Circle one has a radius of 8 Circle two has a radius of 17 Circle three has an unknown radius but it is twice the circu

    Polynomials

    I understand that X^6 - 22X^3 + 49 = 0 is the right polynomial for which (3 + 2^(1/2))^(2/3) is a solution. What I don't understand is how to get that polynomial because I keep getting x^3 - 6x^(2/3) + 7 = 0 and I know it is wrong. It just so happens that I know the correct polynomial is X^6 - 22X^3 + 49 = 0 but I need to know

    Algebra- Practice Problems

    File Attached A. Solve using the five-step problem-solving process. Familiarize, Translate, Carry Out, Check, State Show all steps necessary to arrive at your solution. 1. A square support unit in a television is made with a side measuring 5 centimeters. A new model being designed for the upcoming year will have a large

    smallest possible value of n

    1. if j, k, and t represent whole numbers, and n = 5j^2=3k^3=2t. What is the smallest possible value of n when n > 0? 2. Tex and Roy are going from Deadwood to Dodge City, but they have only one horse. They know that there are some equally spaced water holes between the towns, so they agree on this scheme: They w

    Solve for domain. Solve for x in log and ln function

    1. Given that f(x) = sqrt(3x+6) and g(x) = x-4/x, find the following functions and express their domains in interval notation. a) (f+g)(x)=________, its domain is _______ b) (f/g)(x)=_______, its domain is _______ c) (g/f)(x)=_______, its domain is _______ d) (f ○ g)(x)=_______, its domain is_______ 2. Solve the f

    Prove by math induction

    Prove that 1 + 1/2 + 1/4 + ... + 1/(2^n) = 2 - 1/(2^n) for all natural numbers n. Having problems with n = 1 i.e. the base case.

    Proof by Math Induction

    Prove 1^3 + 2^3 + ......+ n^3 = (1 + 2 + ..... n)^2 for all natural numbers n. I have not done ones where the right hand side looks like this one does.

    concrete counter-example

    Suppose A is a 3 × 5-matrix of rank 3. Is the linear system AX = B consistent for every B ∈ R3 ? --- If yes, explain why. ----If no, provide a concrete counter-example (concrete = with numbers).

    Algebriac mixed word problems

    For the systems of linear equations in questions 1-3 - Determine how many solutions exist - Use either elimination or substitution to find the solutions (if any) - Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection 1. 4x = 8 and 5y = 15 2. 0.2x + 0.4y = 1.7 and 8.3x - 6.3y

    Questions on rational expressions, quadratic formula

    In this exercise, four questions are answered. They involve the simplification of rational expressions, solving for x in a quadratic and a cubic function. 1) (a^3 b^4 / 125)^(1/3) 2) (2 r^5)^(1/2) * (10 t^4)^(1/2) 3) (x + 4)^3 = 7.51 4) x^2 + 8x + 17 = 0

    Decreasing cube.

    Decreasing cube. Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by..... V(s)=s3 - 13s2 + 54s -72 a) Find V(10). b) If the new width is s -6 centimeters, then what are the new length and height? c) Find t

    Equation Square Root

    A student claims that the equation square root of (-x) = 3 has no solution, since the square root of a negative number does not exist. Why is this argument wrong? (hint: you do not need to use imaginary numbers to do this)

    Demand for pools assignment

    Demand for pools. Tropical Pools sells an aboveground model for p dollars each. The monthly revenue for this model is given by the formula R(p) = -0.08 p2 + 300p. Revenue is the product of the price p and the demand (quantity sold). a) Factor out the price on the right-hand side of the formula. b) Write a formula D

    Factoring Techniques Employed

    See attached (1)Did you feel techniques employed in "factoring" are useful in daily life? (2)The two configurations were a circle and a rectangle with 100 feet of fence.  Discuss the possibility of utilizing other shapes for this fenced in area. Could you create a figure with a larger area than the circle? In particular,

    Solving Algebra Math Problems

    1. Solve using the five-step problem solving process. Show all steps necessary to arrive at your solution. Express the answer in scientific notation to three decimal places. If the distance from the earth to the sun were 92,900,000 miles, how long would it take a rocket, traveling at 2.8×10^3 miles per hour, to reach the su