Share
Explore BrainMass

Basic Algebra

Rational Expressions versus Rational Numbers

The description below tells of the properties of rational numbers is very good and comprehensive. However, please describe how it relates to RATIONAL EXPRESSIONS? A rational number is a number that can be expressed as a fraction, ratio of two integers or decimal number. Rational numbers can be ordered in a number line. A

Solving Equations and Applications of Equations

Provide solutions and explanation to 3 rational and radical equation exercises which are attached. 1. The Crest Holding Company found that the cost per report to producing the annual company report is given by the equation: C = 150 + 0.6x x Where C is the cost p

Solving quadratic equations by factoring

Please solve attached exercises using the Equation Editor, you must show work. Answers are already provided from the actual book. You must show however how you have arrived at the answer. 4 factoring problems, then: Exercise 90: (no answer was provided in the book) Avoiding a collision. A car is traveling on a road that

Factor polynomials and trinomials.

Please solve attached exercises using the Equation Editor, you must show work. Answers are already provided from the actual book. You must show however how you have arrived at the answer. Please solve below exercises using the Equation Editor, you must show work. Answers are already provided from the actual book. You must sho

Solving Equations

How do you solve these? Please show steps. Use Quadratic formula Don't forget "i" 1) Solve by the square root property (2x + 5)^2 = 81 2) Solve by completing the square x^2 + 6x - 4 = 0 3) Solve by any method 4x^2 - 7x + 5 = 0 4) Solve by any method

Solving Equations

How do you solve? please show steps 1) Solve x^2 + 7x = 18 2) Solve x^2 = 13 3) Solve 3x^2 - 1 = 47 4) Solve by factoring left side first x^2 + 4x + 4 = 25 5) Solve by factoring left side first x^2 - 10x + 25 = 3 6) Complete the square x^2 - 12x 7) Complete the square x^2 - 2x = 8 8)

Simplifying Radicals

1) Simplify 3rd order radical of 432x^8 (instead of square root it is the cube root) 2) Perform the indicated operation and simplify SR(300x^4)/SR(5x) 3) Perform the indicated operation and simplify (3SR5 - 4SR2) * (2SR5 + 6SR2) 4) Rationalize each denominator and sim

Steps for Algebra

16) 4/SR6 = 17) SR(x^4/3) = 18) 13/SR40 = 19) 8/(SR7 + SR3) = 20) SR(5x-1) = 8 21) SR(x+10) = x - 2 22) x = SR(1-8x) + 2 23) 64^1/3 = 24) 25^3/2 = 25) SR(x-1) -5 = 1 26) (x + 3)^-1/3 = -1 27) 8 + SR(-20) divided by -4 28) 6a^2 - 4 = -8

Radicals

1) (-64)^1/3 = 2) (81)^1/4 = 3) SR(5x) * SR(11y) = 4) SR(27) = 5) SR(12x^7) = 6) SR(600y^23) = 7) SR(13/x^6) = 8) SR(27x) / SR(3x) = 9) 12^1/3 * 4^1/3 = 10) 6SRy - 15SRy = 11) 7SR17 - 10SR17 + 3SR17 = 12) 2SR50x - 2SR18x = 13) SR2 + S

Derivatives of Logarithms and L'Hopital's Rule

Apply laws of logarithms to simplify the function. Then find its derivative. ?(x) = ln ^/¯ (9-x2)/(4+x2) Find limx→3 2x^4-3x^3-81/x^5-10x^3+27 Apply L'Hopital's rule as many times as necessary, verifying your results after each application

Microeconomics - Competitive Screening

The utility of each individual is u(w) = 80w − w^2, where 0 ≤ w ≤ 40 is wealth. The initial wealth is $40. The individuals may suffer a loss of $30. There are two types of individuals. Either an individual has low risk of loss, in which case the probability of loss is 1/5 , or high risk, in which case the pr

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.)

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

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

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 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

Factoring Polynomials

11) 6x³+4x²-10x 12) 15x^5-2x^4-x³ 13) 49y^4-25 14) x^14 - y^4 15) x²+4 16) 72-2y² 17) x²+16xy+64y² 18) 25x³-10x^2+x

Factoring and Common Factors

Please see the attached file for the fully formatted problems. Factoring and Common Factors 39. 67. 93. The area of a painting. A rectangular painting with a width of x centimeters has an area of square centimeters. Find a binomial that represents the length. Area = 95. Amount of inve

Solving Equations

Can you please explain the steps in solving this algebra problem: Find the value of x: x divided 7/8=3/5 Thanks in advance for your assistance!

Algebra, Equations and Word problems

Name: _________________________ Date: _____________ 1. Solve. 28x - 2(10x - 0.365) = 7x + 0.035 2. Find the mean and the median. -2, , , 4, 9 A) Mean 2, Median B) Mean 10, Median 2 C) Mean 2, Median 2 D) Mean 10, Median 3. Solve. -3(x + 1) = 2(x - 8) + 3 A) -1 B) 1 C) 3 D) 2 4. A

Distance and Midpoint

Solve for the following items: a. The point on the x-axis that is equidistant (equal distance)from (10,4) and (6,2). b. The distance between the points (4,4) and (20,4). c. The distance between the points (1,4) and (19,5). d. The midpoint between (12,4) and (18,6) e. The midpoint between (-8,-6) and (25,3)

Quadratic Equations

Name: __________________________ Date: _____________ 1. Solve by completing the square. x2 + 6x - 27 = 0 A) 9, -3 B) -9, -3 C) 9, 3 D) -9, 3 2. Solve by using the quadratic formula. x2 + 4x + 3 = 0 3. Solve. x2 + 2x - 24 = 0 A) 6, -4 B) -6, -4 C) 6, 4 D) -6, 4 4. Is the following trinomial

Graphing Quadratic Equations

Please help with graphing quadratic equations and applications of quadratic equations. Graph the equation. 1.-4. Complete the table, answer the problem. And describe the resulting graphs by identifying the vertex point, the graph's direction, and any axis intercepts gleaned from the table or graph. Identify the axis of sym

Difference Quotients and Maximum Value

The following wage function represents the relationship between age and wages for a typical employee of a large firm: Wage= 20 + 25 * age - 0.25 * age^2 a) using the difference quotient, find the change in the wage from where age=30 to where age=40. b) show the formula for the change in the wage when age=1 c) at wha