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Basic Algebra

Algebra - Radical Equations

See attached 1. At a height of h meters, you can see V kilometers to the horizon. These numbers are related by the equation . A person can see 392 km to the horizon from an airplane window. How high is the airplane? 2. The formula can be used to approximate the speed r, in miles per hour, of a car that has left skid marks

Quadratic Equations

Write three quadratic equations, with a, b, and c (coefficients of x^2, x, and the constant) as: 1. Integers 2. Rational numbers (Cannot use integers) 3. Irrational numbers NOTE: These must actually be equations. No credit will be given for expressions/polynomials.

Algebra - Quadratic Equations - Practice Problems

1. Add (2v^4-4v^3+2v^2+10v-6)+ (v^5+9v^3+5v^2-2v+4) + (-5v^4+v^2-6v-10) 2. Find the vertex, the line of symmetry, the maximum or minimum value of the quadric function, and graph the function. f(x)=1/2(x+5)^2+8 -The vertex is____ -The line of symmetry is x=____ -What is the maximum/ minimum value of f(x)?___ -Is the value

Word problem - Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 25 degrees Celsius. They also find that the temperature decreases by 3 degrees Celsius for each kilometer you go up from the surface. ...

Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 25 degrees Celsius. They also find that the temperature decreases by 3 degrees Celsius for each kilometer you go up from the surface. Let T represent the temperature (in Celsius), and let H be the height above

Algebra: Solving a Word Problem

Problem: Two rainstorms occurred in one week in a certain area. In the first storm 30 ml of rain fell per hour, and in the second storm 20 ml of rain fell per hour. Rain fell that week for a total of 35 hours for a total rainfall of 900 ml. How long was each storm?

Investment Maximization Problem

Welgo Mutual Funds, Inc. Welgo Mutual Funds, Inc., is located in Philadelphia, Pa. Welgo just obtained $100,000 by converting industrial bonds to cash and is now looking for other investment opportunities for these funds. Based on Welgo's current investments, the form's top financial analyst recommends that all new investment

Flying With And Against A Jetstream

Flying against the jetstream, a jet travels 3320km 4 hours. Flying with the jetstream, the same jet travels 3810km in 3 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?

Gas mileage - Using web resources, and/or other materials, find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 50 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you ... [See the attached questions file.]

Part 1: Using web resources, and/or other materials, find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 50 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you have chosen. State the type of car, the mileage, and show b

Radical Expressions

Radical Expressions. See attachment for equations 1. Find the square root of 8100 2. Find the square root that is the real number 3. Find each function value, if it exists 4. Find the following. Assume that variables can represent any real number. 5. Rewrite without exponents = 6. Rewrite with ra

Algebra equations and expressions

I need examples for the following 1 example for solving general linear equations 1 example for translating verbal expression into algebraic expression 1 example for the addition and multiplication properties of equality 1 example of a formula

Solving Applied Problems: Two Equations

See the attached question file. 1. How does the author determine what the first equation should be? 2. What about the second equation? 3. How are these examples similar? 4. How are they different? Find a problem in the text that is similar to examples 2, 3, and 4. 1. Post the problem for your classmates to solve.

Math

File is attached. 1) Use rational exponents to simplify. 2) Simplify by factoring. Assume that all expressions under radicals representing nonnegative numbers. sqrt(50a^2*b) 3) Find a polynomial for the perimeter and for the area. The top of the rectangle is n+4, the right side is n. The perimeter is ? (Simplify your

Algebra

1) If the sides of a square are lengthened by 5cm, the area becomes 81cm^2. Find the length of a side of the original square. 2) Use rational exponents to write x^1/8*y^1/3*z^1/6 as a single radical expression.

Algebra - Rational Equations

1. The speed of train A is 10 mph slower than the speed of train B. Train A travels 230 miles in the same time it takes train B to travel 280 miles. Find the speed of each train. 2. The Office Jet printer can copy Maria's dissertation in 8 min. The Laser Jet printer can copy the same documents in 22 min. If the two machines wor

Order of Operations for Algebraic Expressions

1. Why is it necessary to study the order of operations and the laws of operations before you start solving equations? 2. Of the three laws, commutative, associative, and distributive, which one is most frequently used in algebra? Why? 3. How does a term differ from a factor? 4. When adding or subtracting expressions,

Rational Numbers - 1. Classify the given numbers as real and rational, real and irrational, or complex. ... 2. a) Select any irrational number, and turn it into a rational number by using addition, subtraction, multiplication, division, or exponentiation. ... [See the attached questions file.]

Assignment 1: Irrational, Real, and Complex Numbers 1. Classify the given numbers as real and rational, real and irrational, or complex. a. (4)1/2 + 2 b. 6+0i c. 30007.413 d. 3i e. 2-(-9)_ i f. (80)1/5 g. 1 h. (16)1/4 Rational Number Irrational Number Complex Number 2. a) Select any irrational number,

Practice Problem - Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population. .... [See the attached questions file.]

Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population. 1) Decide on a name of a rural town. Name of town: _

Algebra Exercises

Please have a look to the attached word document with several algebra exercises. Section 3.1 Exercise 92- Page 179 Solve each problem. See Example 8. 92. Dental services. The national cost C in billions of dollars for dental services can be modeled by the linear equation where n is the number of years since 1990

College Algebra Functions

I need help answering these questions. I have attached the questions that I need help with. Please explain your answers in detail. 1. Given f(x) = 3x + 5, find f(a - 1). A) 3a + 2 B) 3a + 4 C) a + 7 D) a + 2 2. Graph f(x) = 3x + 2. A) B) C) D) 3. Rewrite the equation 4x - 10y = 11 as a functio

If a manufacturer charges 'p' dollars each for shirts, then he expects to sell 2000-100p shirts per week. What polynomial represents the total revenue expected for a week? How many shirts will be sold if the manufacturer charges $20 each for the shirts. Find total revenue when the shirts are sold for $20 each.

If a manufacturer charges 'p' dollars each for shirts, then he expects to sell 2000-100p shirts per week. What polynomial represents the total revenue expected for a week? How many shirts will be sold if the manufacturer charges $20 each for the shirts. Find total revenue when the shirts are sold for $20 each.

Graphing Linear Inequalities: Discussion Questions

1.Your friend is taking an algebra class that began one week after ours. Explain to your friend how to graph linear inequalities with two variables. Include at least two examples. 2.When graphing a linear inequality, how do you know if the inequality represents the area above the line or below the line? 3.Which quadrant

Several problems on properties of real numbers

Consider the following properties of real numbers: [1] Commutative Property of Addition [6] Commutative Property of Multiplication [2] Associative Property of Addition [7] Associative Property of Multiplication [3] Additive Identity Property [8] Multiplicative Identity Property [4] Additive Inverse Property [9] Multipl

Algebra

See attached equations. 1. -1^2 2. solve the equation: 5/(y+4) - 8/(y-4) = 2/(y^2 - 16) 3. 7[7x - 7 + 4(x +1)] = -7x - 7 4. A rational expression is the ratio of two: 5. Determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 6. Find all values of x satisfying the given conditi

Simplifying Rational Expressions

1. Find All numbers for which the rational expression is undefined ... 2. Simplify by removing factors of 1 ... 3. Multiply and simplify ... 4. Divide and simplify ... 5. Find LCM ... [See attached file for equations.]

commutative and associative properties of multiplication

Use the commutative and associative properties of multiplication and exponential notation to rewrite the product. y(y _ 5)(wy) Use the distributive property to remove the parentheses. -3(6 - p) Simplify the following expression by combining like terms. 2a(a - 5) 4(a -5) Simplify expression. 1/4(6b+2 )- 2/3 (3b-2)

Solving word problems by use of algebra

Please show all steps and please use the equation editor . thank you. Find all real or imaginary numbers to the equation. 1. Find the value of x 6x = -(19x+25)/(x+1) Find exact and approximate solutions to each problem. 2. Boxing Match . A boxing ring in the shape of a square , 20 feet on each side . How