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    Basic Algebra

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    "Squares everywhere" Determine the Perimeter

    The figure has been divided into nine squares, the smallest one, darkly shaded, has sides of length one and the lightly shaded squares has side of length x. Determine x and also determine the perimeter of the large figure. See Attached

    Solve by Quadratic Formula

    See the attached file. Solve each equation using the quadratic formula. 1. x^2 + 5x + 2 = 0 2. 3x^2 = 6x - 1 Show your work step by step. Compute the discriminant. Then determine the number and type of solutions for the given equation. 1. 4x^2 - 2x + 3 = 0 2. 3x^2 + 4x - 2 = 0.

    Equations and inequalities

    Show your work step by step. Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Write and factor the trinomial. 1. x^2 + 16x 2. x^2 + 5x 3. x^2 + 4 x 5 Show your work step by step. Solve each equation by completing the sq

    Factor out the common factor

    Factor out the common factor. (5x - 2)2 + (5x - 2) Completely factor the expression. x4 - 3x3 + x2 - 3x Write the rational expression in simplest form. 4x2y xy - y Write the rational expression in simplest form. 9x2 + 9x 8x + 8 Write the rational expression in simplest form. x2 - 9 3 - x

    Factoring by grouping

    What is factoring by grouping ? When factoring a trinomial by grouping , why is it necessary to write the trinomial in four terms ?

    Difference of Two Squares formula Discussion Question.

    Some people say that the Difference of Two Squares formula helps them to multiply large numbers without a calculator. How would you use this formula to multiply 201 by 199? Find at least one more pair of numbers that can be multiplied this way.

    An interest word problem using the polynomial.

    P dollars is invested at an annual interest rate R for one year. If the interest is compounded semi-annually, then the polynomial P (1+ r/2)^2 represents the value of the investment after one year. Re write this expression without parentheses. Evaluate the polynomial if P = $200 & R = 10%

    Solving for Unknowns

    (1) A forensic scientist uses the expression 72.6 + 2.5T to estimate the height in centimeters of a female with a tibia of length T centimeters. If a female skeleton has a tibia of length 32.4 cm, then what was the height of the person? Find the length of your tibia in centimeters, and use the expression from this exerc

    Several algebra problems

    2. 3. 4. Find the coordinates of the x-intercept. 2x + y = -6 (-6, 0) (0, -3) (0, -6) (-3, 0) 5. 6. Janet invested $26,000, part at 6% and part at 3%. If the total interest at the end of the year is $1,080, how much did she invest at 6%? $11,000 $10,0

    Mathematics - Algebra - Transforming Graphs

    I understand that when you transform y = f(x) to y = f(ax) it is a stretch in the x direction of scale factor 1/a, but I can't find any reasoning as to why the scale factor is 1/a and not just a. Can you explain?

    Mathematics - Algebra - Word Problem

    You are a high school math teacher and are introducing matrices to the classroom next week. It is very important to you to make a connection between the real world and this topic, so you decide to research in which applications matrices are used. To your surprise, you find several very useful applications, such as decoding and e

    An expression for expenditures and receipts

    How do I create an expression for expenditures and for receipts on this problem? How many chips must be sold to produce a profit? To make x thousand computer chips requires fixed expenditures of $352 plus $42 per thousand chips. Receipts from the sale of x thousand chips amount to $130 per thousand.

    Customer Purchasing Items Inventory

    I have a customer that is purchasing purchasing a item packed 6,0000 per case @ 19.00 per case. they are buying 281,000 cases per year. I would like to sell them our new items that is packed 10,800 per case. 1. How many cases would be new items reduce their inventory by 2. If I sold the new item for $32.00, how

    Algebra - Equations and Matrices

    See Attached Exercise 5.5 25. Supply and Demand The supply function for a product is given by p=q²+2q+122 and the demand function for this product is p=650-30q, where p is the price in dollars and q is the number of hundreds of units. Find the price that gives market equilibrium and the equilibrium quantity. 29. Break-Ev

    Mathematics in Investing Rate

    Hi can some help me with the below questions? 1. What does 200% mean? If you have a job making $5 an hour and you receiva a 200% raise how much will you be making after the 200% raise? 2.Is is better to invest your money where it will earn interest at a rate of 7% per year or to invest it where it will be multiplied by 2/3

    Cumulative Equation Problems

    Ch. 10 Cumulative Problems 1) solve (X - 4)2 = 3 2) solve 5 (X - 2)2 = 3 3) solve - 9 (X - 3)2 = - 7 4) solve by completing the square 2 X2 - 8 X - 9 = 0 5) solve by completing the square 4 X2 + 2 X - 3 = 0 6) solve by using the quadratic formula 4 X2 - 3 X + 3 = 0 7) solve by using the quadratic formula 5

    Functions & Graphs Your mission is to find real-world data for company sales, a stock price, biological growth, or some sociological trend ... A printer has a contract to print 100,000 invitations for a political candidate. He can run the invitations by using any...

    Functions & Graphs Group Activity #3 Modeling Your mission is to find real-world data for company sales, a stock price, biological growth, or some sociological trend over a period of years that fits an exponential, logistic, or logarithmic function. To do this, you can look at a statistical graph called a histogram which d

    McClaurin Series Expansion

    What is the best way to expand e^(Tan x) in a McClaurin Series for 5 terms without going blind? I tried it using brute force (taylor series) and decided there must be a simpler way known only to math majors.

    Algebra - Solving Polynomial & Rational Functions

    Exercise 4.5 27. Advertising and Sale The monthly sales volume y (in thousand of dollars) of a product is related to monthly advertising expenditures x (in thousands of dollars) according to the equation. Y= 400x x+20 a. What monthly sales will result if $50

    Mathematics - Polynomial & Rational Functions

    Exercise 4.1 29. Daily Revenue The daily revenue from the sale of a product is given by R = -0.1x³ + 11x² - 100x dollars, where x is the number of units sold. a. Graph this function on the window [-100,100] by [-5000, 25,000]. How many turning points do you see? b. Because x represents the number of units sold, what restric

    Mathematics - Exponential & Logarithmic Functions

    Please resend the solutions below. Exercise 3.4 (from posting 267232, was missing the table, so was unable to get the solution) 23. Life Span The table below gives the life expectancy for the people in the United State for the birth years 1910-1998. a. Find the logarithmic function that models these data, with x equal

    Rearranging of Terms in an Equation

    Using: a_1 〖B_1〗^n=a_2 〖B_2〗^n If: (a_1 B_1)/C_1 =(a_2 B_2)/C_2 Determine an expression for a1 in terms of a2, C1, C2 and n.

    Appendix C Starting a Business

    Appendix C Starting a Business Starting your own business can be exciting and daunting at the same time. Businesses use math when managing finances, determining production levels, designing products and packaging, and monitoring labor. A bakery can be a highly profitable and rewarding business. During this activity, you wi

    Algebra - Solving exponential & logarithmic functions

    Exercise 3.1 25 Continuous Compounding If $8000 is invested for t years at 8% interest compounded continuously, the future value is given by S=8000e0.08t dollars. a. Graph this function for 0< t < 15. b. Use the graph to estimate when the future value will be $20,000. 27. Radioactive Decay The amount of radioactive isotope

    Determining Puzzles in Statistics

    Determine the name of each race, the full name of each winner (Sam is a man), and the age of each winner. 1. The 5 mile race and the 1 mile trail were both won by women. The 63 year old did not win the wheelchair roundabout. Susans last name was not West. 2. The sack sprint was won by the 16 year old. Mr. Panda who wa

    Mathematics - An Algebraic Word Problem

    Question: Bob will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $51.98 for two days plus 13 cents per mile. The second plan costs $39.98 for two days plus 15 cents per mile. How many miles does Bob need to drive for the two plans to cost the same?

    Slope Intercept and Line Equations

    Write equation in slope-intercept form: y+3= -3(x-6) Find equation of line that goes through the given point and has given slope. Answer in slope intercept form: (-1,-5), -8 Find equation of line. write answer in slope intercept form. "The line is parallel to -3x + 2y=9 and contains the point (-2,1) Find the equ