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    Basic Algebra

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    Solving Equations Question

    Solve x^2 = 75 where x is a real number. Simplify your answer as much as possible. (If there is more than one solution separate by commas.)

    Radical expression

    Please see the attached file. Simplifying a higher radical: Write the following expression in simplified form. Assume that all of the variables in the expression represent positive real numbers.

    Simplifying a Higher Radical

    Fifth-root (32 x^11 w^13) Simplifying a higher radical: Write the following expression in simplified form. Assume that all of the variables in the expression represent positive real numbers.

    Graphing, Applications and History of Log Functions

    I am having a little trouble when it comes to Logarithms, trying to research about the history of them prior to 1614 & John Napier's contributions to their development may not be that bad but graphing is different. How do I interpret natural logs, common logs & graph them? Example: 10^x, log(x), e^x & In(x) for -5<x<5 The

    Working with Polynomial Operations

    Please type the solution..(no handwriting please). 1.) Simplify 2x*2 - 18y^2 divided by 3y -x 2.)Perform the task (y^2 - 2y + 1 divided by y^2 - 1) multiplied by (2y^2 + y - 1 divided by 5y - 5) 3.)Perform the task (8x - 5)/(3x - 1) + (4x + 1)/(3x -1) 4.)Perform the task 4/(x^2 - x - 6) - 4/(x^2 - 4) 5.) Perform t

    Algebra Problem: Determining Total Legs on a Bus

    Real Math Question. Need details of solution. There are 7 girls on a bus: - Each girl has 7 backpacks - In each backpack, there are 7 big cats - For every big cat there are 7 little cats - Question: How many legs are there in the bus?

    Polynomial Function Expressions

    How do you solve these? 1) Find all numbers that are undefined for the expression, x^2 - 3x -54 divided by x^2 - 10x + 24 2) Simplify x^2 - 4x - 32 divided by x^2 - 64 3) Perform the indicated operation (x^2 + 16)/ (x^2 - 16) divided by (x + 4)/(x^2 + 2x - 8) 4) Simplify 1/x + 1/y di

    Write the following as a single rational expression

    A. Write the following as a single rational expression: B. What are the restricted value(s) of y for the rational expression to be defined: C. Reduce the following expression to lowest terms: D. Simplify the following expression:

    Exponential and Logarithmic Functions

    1. Simplify the following expressions showing your work: a. X5 * X7 b. Z10/Z11 c. log4 y + log 4 Z d. log4 y - log4 Z 2. You have $380,000 in your bank account. The interest rate in your account is 5%. Solve for the following showing your work: a. How much interest will you accumulate if interest is compounde

    Real-Life Models of Logarithmic Functions.

    Many different kinds of data can be modeled or measured easily using exponential and logarithmic functions. For example, consider ideal gases: Pressure versus volume give a curved plot, but a log graph of pressure versus volume provides a linear plot that is easier to interpret. Log plots are also used in the study of the rates

    Factoring Function Solution

    8) 9x^3 - x 9) 16x^2 - 40x + 25 10) 2y^3 - 16 11) x^4 + 125x 12) 9x^5 - 18x^4 13) z^4 - 16 14) x^3 - 27 15) Solve: 25x^2 - 64 = 0

    Factoring Expressions Function

    1) 12x^3 + 16x^2 - 400x 2) x^3 + 3x^2 + 2x + 6 3) x^2 - 3x + 2 4) 3x^2 + 6x - 24 5) 4x^2 + 4x -15 6) 8x^2 + 8x - 6 7) 12y^3 + 28y^2 + 8y

    Exponential and Logarithmic Functions

    Please see the attached file for the fully formatted problems. 1. Convert the following equations into logarithmic form: a. 9 = 4x b. 3 = 6y c. 5 = 7y d. X = 9y 2. Convert the following equations into exponential form: a. X = log3 6 b. -5 = log3 y c. X = log4 y d. 1000 = log5 Z

    Simplifying and Factoring Expressions

    1. Simplify. 2. Write in descending-exponent form, and give the degree. x5 + 9x7 - 1 3. Find the value of the polynomial 6x - 1 when x = 3 and when x = -3. 4. Simplify. Write your answer with only positive exponents. m2m-10 5. Subtract 2x - 3x2 + 5x3 from 5x3 + 4x - x2. 6. Multiply. 3xy2

    Geometry and Algebra

    Please complete the following 15 equations and make sure to show ALL WORK! Thanks in advance! Please complete the following and make sure to show ALL WORK! Section 5.1 Write each fraction in simplest form. 18. 24. 36. 50. Geometry. The volume of the box is represented by . Find the polynomial that represents the ar

    Factoring Solutions

    1) Factor 16x^2 - 25 2) Factor 15x^6 - 9x^5 + 12x^4 + 9x^3 3) Factor 8x^3 + 64 4) Factor x^2y^2 + 11x^2y + 24x^2 5) Factor 3x^2 - 18x - 48.

    Factoring Polynomials

    Factoring the Difference or Sum of Two Cubes A. Factor each polynomial completely, given that the binomial following it is a factor of the polynomial. B. Factor each polynomial completely. C. Factor each polynomial completely, if prime say so. D. Factor each polynomial completely, if prime say so. E. Decreasing cube. Eac

    Maximum Revenue

    The manager of a bicycle shop has found that, a a price (in dollars) of p(x) = 150 - x/4 per bicycle, x bicycles will be sold. a.find an expression for the total revenue from the sale of x bicycles. b.find the number of bicycle sales that leads to maximum revenue. c.find the maximum revenue.

    Quantitative Methods : What is the minimal solution?

    Please offer some assistance with the solution to the below problem. I am stumped by this one and cannot complete the solution with QM. Min Z = 2x + 8y Subject to (1) 8x + 4y 64 (2) 2x + 4y 32 (3) y 2 What is the minimal solution? Please see attached document for complete problem.

    Factoring Prime Polynomials

    57 Factor each polynomial. If the polynomial is prime, say so. 67 Factor each polynomial. 105 Factor each polynomial completely. If prime say so. 109 Use factoring to solve problem. Area of a sail. A triangular sail has an area of sq. meters and a height of x + 3 meters. Find the lengt