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Basic Algebra

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)

Borrowing and Compensating Balance

A) With a compensating balance requirement of 20 percent, how much will the firm need to borrow? b) Given your answer to part a and a stated interest rate of 9 percent on the total amount borrowed, what is the effective rate on $400,000 actually being used?

Create and Factor a Trinomial

Choose three integers a, b, and c. (Negative numbers are welcome.) Now use a, b, and c to create a trinomial ax2+bx+c. Can you factor this trinomial? How would you create a trinomial that will factor? Show work.

Simplify radical expression

Please show steps and simply. 1. Simplify SR(45x^23) 2. Multiply and simplify SR(5x) * SR(10x) 3. Simplify SR96 / SR3 4. SR75 - SR48 5. SR10(SR5 + SR6) 6. 21 / (4 - SR3) 7. 7SR2 / (SR2 - 4) 8. Solve if it has a solution SR(x - 2) + 5 = 1 9. Simplify 64^(2/3) 10. SR10x^2 * SR2x^3 11. 7SR8 - 2SR32 12. (7 - SR5

Multiplying Polynomials.

Multiplying binomials (show how you arrive at the answer!). The answers are from the actual text book, you need to show how you have arrived at the answer. Section 4.3, exercise 25 (Use FOIL to find each product): Answer is: Section 4.3, exercise 39: Answer is = Section 4.3, exercise 50 (find pr

Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Provide a real life application of a quadratic function.

Part 1: Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the height of the screen along the vertical as well. Use the Pythagorean theorem to find the width along the horizontal In your pos

Solving a word problem using a quadratic equation with irrational roots

When a ball is thrown, its height in meters h after t seconds is given by the equation h = vt- 5t^2 Where v is the initial upwards velocity in meters per second. If v = 7 m/s, find all values of t for which h = 1 meter. Do not round intermediate steps. Round the answer to 2 decimal places. If there is more than one

Real-life application of a linear function and volume of a rectangular solid.

Part 1: What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters (to the nearest 10th of a centimeter) or inches (to the nearest quarter of an inch). Compute the vol

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


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

Real-Life Situation: Word Problem

Take the real-life situation and create an equation or inequality that could be used for analysis, prediction, or decision making. Then, draw a graph to depict the variables in your situation. Use your graph and what you know about linear inequalities to discuss the significance of your findings. For example the gasoline

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

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?

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

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 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

Algebra Word Problems on Met's Payroll

For 2003, the New York Yankees and the New York Mets had the highest payrolls in major league baseball. The Met's payroll was $32.8 million less than the Yankee's payroll. If the two payrolls totaled $266.6 million, what was the Yankee's payroll for that year in millions?