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Basic Algebra

Basic Algebra

Place each of the following sets in ascending order. Evaluate. Note: These are absolute sign problems! SECTION 9.2 Add and subtract using the proper rules. Evaluate each of the following absolute value expression. Label each of the following statements as true or false. 72. Business and f

Numerical Analysis : Lagrange Interpolating Polynomial

Please review the attached problems, provide solution and show all work. L n,k (x) is the nth Lagrange interpolating polynomial. Please see attached jpeg at your convenience. I also attached the complete list of problems for this section, perhaps this might answer your question for this particular problem ( #1 ). Please le

Write a program or programs to interpolate the data given below at the specified points using Neville iteration, Newton's interpolatory divided-difference formula, and a natural cubic spline.

Math 609D Programming Assignment #3 Due Date: March 17, 2008 Write a program or programs to interpolate the data given below at the specified points using Neville iteration, Newton's interpolatory divided-difference formula, and a natural cubic spline. Use your programs to do the following. 1. For x = 0.25, x = 0.5, and x =

Solving for 2 variables

I need to solve the following for the 2 variables and plot on a grid line. This is for a linear programming model and I can not figure out the algebra. Can do it in solver, but not on paper and I need all work shown. 42x + 30Y = 180 3 C + 8 B = 20 Please show all work.

Solving and Simplifying Equations

1. x - 23 =12 Solve for x 2. 2z + 12 = 5z - 9 Solve for z 3. 1/3 + 3/8 = ? 4. 2/3 -1/ 4 = ? 5. Solve for x: ¼(x-2) - ½(x-4) 6. (4x)(2x) = ? 7. Write in interval notation the real numbers greater than or

Rational Numbers and Basis

Find a basis for Q(fourth root of 2) over Q, and prove that it is in fact a basis. Note: Q are the Rational Numbers.

Algebra : Radicals and Quadratic Equations

(Please See Attachment) 1.) Find all numbers for which the rational expression is defined: S^3-7s/s^2-25 2.) GCF: -30a^3, 5a^4 (Would it be 5a^3 or -5a^3??) 3.) Use rational expressions to write: x^1/2*y^1/6*z^1/8 4.) Solve: x^2 +6x-4=0 5.: Use rational exponents to simplify: ^4 Sqrt x^12 (Would it be x^

Modeling Using Quadratic Equations and Graphing

1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staf

Write each expression with positive exponents only and then simplify

Here are some practice problems that I have done and am trying to self check Please complete all the problems on the attached document using Microsoft word's equation editor. Please see the attached file. Thanks 1. Write each expression with positive exponents only and then simplify: a. 2 -1 + 4 -1 b.

Quadratic Equations

I'm thinking of two numbers. Their sum is 10 and their product is 21. What are the two numbers? The quadratic equation for this problem would be: x^2 - 10x + 21 = y. By graphing, we find that the x intercepts are at (7,0) and (3,0), meaning the solutions are 7 and 3. Please post attachment with a graph of the solution.

Discriminants and Quadratic Equations

The standard quadratic equation is given as: ax^2 + bx + c = 0 , where a, b, and c are real numbers and a > 0. The quadratic formula can be used to solve for all solutions of any quadratic equation. If a graph of the quadratic equation crosses the x axis, it has two real number solutions. We use the discriminant of b^2 - 4ac,

Derivatives : Maximum and Minimum Values

9). Find the dimensions of a right circular cone of minimum volume that can be circumscribed about a sphere of radius 8cm. 32 , 8root 11. The sum of 2 positive numbers is 20. Find the numbers if A) their product is a maximum B) the sum of their squares is a minimum C) the product of the square root of one and the cub

Logarithmic Functions

Please see the attached file for the fully formatted problems. 1. Use the change of base formula to find the following logarithm. Round to five decimals. 2. Solve for x in each of the following equations below. Give the exact answer when possible. If no exact answer is possible, round your answer to 5 decimals. (a)

Logarithmic Functions

Please see the attached file for the fully formatted problems. NO CALCULATOR allowed: Use techniques of transformation and rules of logarithms to find domain, range, intercepts and the equation of the vertical asymptote for the following function: f(x) = log 5 (x + 2) a) What action was used to transform y = log 5 (x)

Exponential and Logarithmic Equations : Solve for x

Math 165 - Precalc study guide 1 for exam 1 2. Solve for x in each of the following equations below. Give the exact answer when possible. If no exact answer is possible, round your answer to 5 decimals. (a) (b) log(x + 1) ? log(x ? 4) = log 6 (c) (exact) Please see the attached file for the full

Solution of exponential equation

I'll trying to solve this evolution equation and I can't seem to remember my algebra. Here's the problem: How do I solve for N? 0.9 = [1 - 1/(2N)]^33

Profit / Revenue / Break Even Point

Suppose a small bicycle manufacturer makes cheap bikes that sell for 180$ each. The total cost of producing x bikes (in $) is given by c(x)=6000+240x-0.8x^2, where x is up to 200 bikes. a. Write down the revenue function. b. Graph the cost and revenue functions on suitable scales, for x from 0 to 200. c. Find the break

Important Information About Solutions of Quadratic Equations

I am completely lost in this class. I really want to understand the concepts in this chapter. Can anyone help? (1) How do you know if a quadratic equation will have one, two, or no solutions? (2) How do you find a quadratic equation if you are only given the solution? (3) Is it possible to have different quadratic e

Denials and Negations

Please solve for #7 and the problems marked by * in #10. Actually there is no prerequisites for the problems. For #7, you just need to decide the statement can be a mathematical proposition or not. College level proof before real analysis. Please give formal proof. Please explain each step of your solution. Thank you.

Multiplying Out Brackets and Simplifying

Please provide step-by-step instruction on how to simplify the following expression so that it is in its simplest form with no brackets: [(X^2-13)/(X-4)]-[3/(X-4)]