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# Basic Algebra

### Applying the Pythagorean Theorem: Example Problem

Measure the height of your computer monitor to the nearest tenth of a centimeter of sixteenth of an inch. Measure the width of your monitor as well. Use the Pythagorean theorem to find the length of the diagonal of your monitor. In your post, include the height, the width, and the calculations needed to determine the length

### Quadratic equations and coefficients

I need help with writing three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: Integers Rational numbers Irrational numbers The quadratic equations should be written with different coefficients (e.g. Integer, Rational, and Irrational) - one quadratic equation with all integer coef

### Pythagorean Theorem and quadratic equation.

Library Assignment Measure the height of your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the width of your monitor as well. Use the Pythagorean theorem to find the length of the diagonal of your monitor. In your post, include the height, the width, and the calculations needed to

### Algebra Set of Problems

Please see attached for the highlighted algebra problems. a. Section 1.1: Exercises 50, 94, 100, and 110 b. Section 1.2: Exercises 18, 86, and 104 c. Section 1.3: Exercises 36, 66, 70, and 90 d. Section 1.4: Exercises 48, 62, and 76 e. Section 1.5: Exercise 90 and 116 f. Section 1.6: Exercise 54 and 76 g. Section 1.7: Ex

### Polynomials and factoring

Please help me understand the following problems: See attached file Section 5.5 Factor each polynomial completely. If a polynomial is prime, say so. 44. 3x3 - 12x 66. 8b2 +24b + 18 72. 3x2 - 18x - 48 Section 5.6 Solve by factoring. 54. x2 - 36 = 0 Solve each equation. 58. x3 = 4x 66

### Rational expressions

Rational expressions 2y+1/y^2-y-6 A^2-b^2/a-b 4x^2/2*9 -2x-8/x^2+2x-8 3/a^2+a/2a+2/6 -2a^2/3a^2*20a/15^3 w-1/(w-1)*w-1/w^2+2w+1 -7yt/3x=?/18xyt 4/x-4,5x/2y-2x 4/9-1/9 a+7/a-4+9-5a/a-4 y/4+2y 3/x+1-4/5x+5 2/x-3+3/3-x 1/9+1/3x/x/9-1/x 4ab^5/a+b/6a2b^4 x/3=4/x+1 5/y-3=y+

### Algebra and Geometry Notation

MAT115 Solve all problems and attach your solutions Remember to show all steps and check your work carefully. Problem Remember to simplify all answers Solutions 1 Name the property that is illustrated. a) 7  6  6  7 b) 7  (1  9)  (7 1)  9 2 Give the place value for the indicated dig

### Substitution and Addition

Elementary algebra. See the attached -------------------------------------------- 1. Solve 3y - x =0 x-4y =-2 2. Solve by substitution method 3x-6y=5 2y=4x-6 3. Solve by addition 2x=2-y 3x+y=-1 4. Solve by addition. Determine whether equation is dependent, independent or consistent -3x+2y=8 3x+2y

### Algebra : Solving Equations for Word Problems

Please see the attached file for the fully formatted problems. 94. Area of painting. A rectangular painting with a width of x centimeters has an area of x2 + 50x square centimeters. Find a binomial that represents the length. See the accompanying figure. 96. Amount of an investment of P dollars for t years at simple inte

### Algebra - expressions, equations, inequalities

See attached file State all answers in standard equation format, interval notation, or solution set notation unless otherwise instructed by the problem statement. Also, show the step-by-step process you used to solve the problems. Simplify the following expression: 0.7(x + 1) - (x - 2) Mary loves to skip rope.

### Radicals, word problems, and polynomials

5.5 factor each polynomial completely 81 - q^4 Section 6 Reducing radical expressions EX 104) EX 22) Ex 88) 88. Traveling time. After leaving Moose Jaw, Hanson drove 200 kilometers at x km/hr and then decreased his speed by 20 km/hr and drove 240 additional kilometers. Make a table like the one

### Multiplying and Dividing Rational Expressions

Please solve in lowest terms with parenthesis if necessary: Multiply 1. 16x^2/y^4 * 5x^2/y^2 2. 6x^5y^3/5z^3 * 6x^4/5yz^4 3. x^2+7x+12/x+4 * 1/x+3 Divide 4. 25xy^2/7z / 5x^2y^2/14z^2 5. x^2-12x+32/x^2-6x-16 / x^2-x-12/x^2-5x-24 Thank you!!!

### Addition and Subtraction of Rational Expressions

Please solve the attached addition and subtraction rational expressions. Solve following addition and subtraction of rational expressions: 1. x-7 - 4 3 3 2. 1 + x+2 x x 3. 4x - 3 - 2x+8 x-7 x-7 4. x^2 + 9_ x+3 x+3 5. x^2 + 2x - x^2+5x+6 3x

### Operations on Rational Expressions

Please explain as simple as possible how multiplication and division of rational expressions can be done. Please show examples of each in simple form by typing out linearly and use parentheses around top and bottom if there's more than 1 term.

### College Algebra

Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y fo

### Formula to Convert Fahrenheit to Celsius

Using the library, web resources, and/or other materials, find a record-breaking temperature (in degrees fahrenheit) for a town or city of your choice. Include the name of the town, along with the temperature, and what record was broken. Give the formula for converting degrees Fahrenheit to degrees Celsius. Using the formula, sh

### Discrete math problems - theorem

In basic algebra the following Theorem is used frequently. If x,y and z are any three real numbers and if x + z = y + z then x = y. The analogous statement for sets would read: Let A, B, and C be any three sets. If A union B = A union C then B = C. Prove in detail that this statement is false. (Hint: Giv

### You have been asked to give a presentation on the relation between race and social inequality

You have been asked to give a presentation on the relation between race and social inequality in the United States on the following issues: What is race? What is ethnicity? Research and discuss the sociological perspectives on race and ethnicity.Does social inequality exist in all societies? Explain your position using critical

### Factoring Example Algebra Equations

All of these problems have to do with factoring and must be factored completely: 1. (x _ 3)a _ (x _ 3)b 2. (y _ 4)3 _ (y _ 4)z 3. 3h2t _ 6ht _ 3t 4. 8y2 _ 14y _ 15 5. 81 _ q4 6. 3x2 _ 48 _ 24x

### Evaluating equations and ascending order

Please see the attached file for the fully formatted problems. Problems Show work Evaluate A) 14 &#61485; B) C) &#61485;14 D) 14 Place the following set of numbers in ascending order. A) B) C) D) Find the five-number summary of the following set of numbers. 0.16, 0.08, 0.27,

### Algebra of Rational and Irrational

0.123 as a percentage 6.8% as a decimal rational-irrational 17x -75. 12 2.32 Commutative property associative property additive Identity Property additive Inverse Property 7+ (8+y) = (8+y) + 7 (8+a) + 5 = 8 + (a+5) 4+0=4 Solve for u 194-u=292 Solve for x -5/7x=15 Solve for t 2t + 11 = 51

### Basic Algebra Express Decimals

1. Express 775% as a decimal. 775% is 775/100=7.75 A) 775 B) 77,500 C) 77.5 D) 7.75 2. Evaluate. | -7 | + | 13 | | -7 | + | 13 |=7+13=20 A) 20 B) -20 C) 6 D) -6 3. Evaluate. 81 ÷ 9 - 16 ÷ 8 81 ÷ 9 - 16 ÷ 8 A) 7 B) 9 C) 6 D) 8 4. Express 9.41 as a percent. 9.4

### 9 Simple algebra problems

See attached file Problems I need help with: Show work Place in ascending order: - - Evaluate: |4|+|-3| |9|-|-4| Add: 7+(-9)+(-5)+6 Evaluate: |-27+14| Label as true or false: |-8|+|3|=|-8+3| Jean deposited a check for \$625, wrote 2 for \$68.74 and \$29.95 and used her debit card to pay for a purch

### Word problems about formulas and rates

(1) If Ramon can mow the entire lawn in x -3 hours, then how much of the lawn does he mow per hour? (2) Toxic pollutants. The annual cost in dollars for removing p% of the toxic chemicals from a town's water supply is given by the formula C(p) =500, 000/100-p a) Use the accompanying graph to estimate the cost f

### Interest and Logs

Please show work 74). Find the present value of \$45,000 if interest is 3.6% compounded monthly for 1 year. 72). Write each expression as a single logarithm with coefficient Assume all variables represent positive real numbers. 82). Given and . Find each logarithm without using a calculator.

### Algebraic Functions

3x2 +3x-18 * x3-3x2+9x = x2 x3+27 (there should be a line between the bottom numbers and the top, it went away when I copied it to brainmass)

### Writing a formula

You have a item that you bought but you lost the sales receipt. There are no price stickers on the item (one of those time saving features for stores) but you remember you gave the clerk \$40 and received x in change. Given that the sales tax rate in you state is 6.65%, how would you go about figuring the cost of the item itself

### Statements, Logical Connectives and Truth tables.

Here are some questions from a study packet for my final. I would like solutions and explanations so that I may practice before my big test. Thanks! 1. Write a simple sentence and then write the negation. Imagine situations where each statement is true or false. How does the truth value (true or false) of the negation state

### Exponential and logarithmic functions

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 pH of a substance of your choice that is alkaline (basic). Using this pH, show how to find the hydrogen ion concentration, [H+], of th