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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

Quadratic Equations

- Which method would be best to solve problem #29? Explain why. - How do you eliminate the exponent two of problem #29? Explain. - Problem #37 can be solved by 3 methods: By factoring, By Completing the Square, and Using the Quadratic Formula. Which method you will prefer to solve this problem? Explain why.

Measure the height of a stack of 50 pennies (in centimeters).

1. Measure the height of a stack of 50 pennies (in centimeters). 2.Convert the height of the stack of pennies into meters 3.Calculate how many pennies would be needed to make a tower 1 billion meters tall. Give answer in both standard calculation and in scientific notation.

Find the logarithmic formula that gives the pH of a substance.

Deliverable Length: 2-3 paragraphs Details: Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the hydrogen ion content of a substance of your choice. Using this hydrogen ion content, sho

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

Measurements and Conversions

1. Measure the height of a stack of 50 pennies (in centimeters). 2.Convert the height of the stack of pennies into meters 3.Calculate how many pennies would be needed to make a tower 1 billion meters tall. Give answer in both standard calculation and in scientific notation.

Simplifying and Solving Equations

How do you solve these? Please show steps. 16) Simplify: (3x^2 + 7y + 4xy - x^2) - (10y + 2(2xy) -3y + 3x(x) -1) 17) Simplify: (10x + 15) divided by 5(x+3) 18) What is the area of a rectangle that has sides of (x+4) and 2(x+3)? Simplify. 19) Simplify: SR(15x^5) divided by SR(3x) SR: square root 20)

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 quadratic equation.

How do you solve these? Please show steps. 1) Simplify 3rd order radical of - (64), that is the cubic root of (-64) 2) Solve by completing the square (Don't forget the "i") 2x^2 + 4x + 6 = 0 3) Solve by quadratic formula (2x -1)(x - 4) = 39 4) Solve by quadratic formula

Solve by using quadratic formula

How do you solve these? please show steps... 11) Solve by using quadratic formula 3x^2 - 5x + 1 = 0 12) Solve by using quadratic formula 9 - 6x + x^2 = 0 13) Solve by using quadratic formula x^2 - 6x + 10 = 0 14) Solve by using quadratic formula x^2 - 4x + 29 = 0 Evaluate the following 15) f(x) =

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

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

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