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Basic Algebra


Problem-1: Find the gas mileage of a dream car or any car of your choice. Let x be the number of miles driven on 60 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you have chosen. State the type of car, the mileage, and show both the set up of the proportion and the step

Recovering the Cell Probabilities of a 2-by-2 Contingency Table

A 2-by-2 contingency table is Control on one axis and Experimental on the other. Control and Experimental are further dichotomized as Event and Non-event. The odds ratio (OR), number needed to harm (NNH), and absolute risk increase (ARI) are functions of the cell probabilities of a 2-by-2 contingency table, and conversely, the c

Investigating a Quadratic Function from its Graph

Use the graph of y = x^2 - 6x to answer the following (Please view the attachment): a) Without solving the equation (or factoring), determine the solutions to the equation x^2 - 6x = 0 using only the graph. Explain how you obtain your answer(s) by looking at the graph. b) Does this function have a maximum or a minimu

College Algebra Questions

Math 209 College Mathematics II Quiz Instructions: Show work in order to receive partial credit. The number within parentheses represents the point value. There is a maximum of 60 points. The due date is Monday February 22, 2010 1. (4) Factor the following trinomial completely: 6x2 + 21x - 45. 2. (4) Evaluate the ratio


When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -10t^2 + v*t + k gives the height of the ball at any time, t in seconds, where "v" is the initial velocity (speed) in meters/sec and "k" is the initial height in meters (as if you were on top of a tower or building). Make up a scenario w

Average rate of bone growth

Please help with the following basic algebra problems. 1. Estimate the average rate of addition of bone on the diaphyseal surface of the tibia, in micrometers/year, as one grew to skeletal maturity. The tibia's present diameter is 2.5 cm, and assume its diameter was 0.8 cm at birth. Assume that the tibia's periosteal appos


Company sales last year $400,000, year end total assets were $300,000. Average firm in the industry has a total assets turnover ratio (TATO) of 2.5. Need to bring the TATO down to industry average without affecting sales, by selling off excess assets. How much must the assets be reduced to bring the TATO to the industry averag

Predicted population

129. Population of the United States. In 2006 the population of the United States was 300.2 million (U.S. Census Bureau, If the population continues to grow at an annual rate of 1.05%, then the population in the year 2020 will be 300.2(1.0105)14 million. a) Evaluate the expression to find the predicted popu

Factor the trinomial .

1. b^2-2b+1-64t^2=Factor completely 2. 3125x^4-5y^4= factor completely 3. Factor the trinomial 25b^2+10b+1= type p if prime 4. 15(x+1)^3-50(x+1)^2-125(x+1) 5. Factor by grouping 9t^4-3t-6t^3+2 6. 3t^2=22t+16 7. Solve the equation (4x+5)(x-5)=8x+10

Rational Expressions: List of Numbers for the Equation

1. List all of the numbers for the following equation for which the rational expression is undefined. 3/a-8 2. Susan is 1.59m tall and she wants to find the height of a tree. She walks 23.56m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps

Solve the inequalities .

Solve the inequalities - Please Explain 1. 2. 3. 10< -t - 10 < 15 4. Solve the inequality. Give the result in interval notation. 6x + 3 < 9 or 3x − 10 > 5 5. If k 0, then |x| k is equivalent to 6. Solve the equation, if possible. (If it is not possible enter NONE.) x = (smaller value)

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 &#8805; -3} in interval notation. Choose the correct interval. A. [-3, &#8734;) B. (-&#8734;, -3] C. (-3, &#8734;) D. (-&#8734;, -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


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 &#9675; 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.