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Basic Algebra

Arrange desk to achieve maximum distance for 5 situations

Mary is 3 supervisor in a large office. The secretaries are constantly talking to each other. Mary 's concerned that this constant jabbering back and forth is causing low efficiency in T.e office. She decides to separate the secretaries by the greatest possible distance within the confines of the office. Your task is to decide

Applications of Polynomial Functions: Finding Zeroes and Maximizing

F(x)=-x^4+12x^3-58x^2+132x The concentration of a drug, f(x), in parts per million, in a patients's blood x hours after the drug is administered is given by the function. I need to make a graph of the following: a) how many hours after the drug is administered will it be eliminated from the patients's bloodstream b) how

Algebra and Graphing Problems

Please see the attached file for the fully formatted problems. Algebra problems DIRECTIONS: It is a little trickier to do online because of the graphs. For the equations/inequalities that require a graphical solution, you will have to describe what part of your graph provides the answer. If you scan in your work, then includ

Logarithms

How do I solve an equation with 2 logarithms added on the left-hand side and only a number on the right-hand side? The process is shown using the example log4(x+4)+log4(x-8)=3.

Investigating trios.

Q. Three whole numbers, greater then zero can be used to form a trio. example: (1,2,2) is a trio whose sum is 1+2+2=5 And (2,1,2) is a different trio whose sum is also 5 How many trios can you find with a sum of 5?

Least Squares to Measure Wavefronts

1)We wish to measure a wavefront u(x,y) on a 3X3 grid (see the attached file). The sensor how ever provides us only with differences between grid points. There is sensor noise, so the difference measurements may not be consistent. Number the grid points linearly and set up a set of linear equations (matrix form) relating the

Solving equations

For the equation, 5r-3s=24 and 3r+5s=28 solve for r and s by 1. substitution 2. elimination 3. matrix methods (except Cramer's rule) 4. Cramer's rule 5. Graphically

A discussion about global economic inequalities.

Assistance & Guidance needed on the following academic problem: The world GNP keeps rising with the world population. This is as it should be. However, the distribution of this wealth is also transforming, so that a minority are becoming very rich indeed, while both the numbers and the proportion living in relative (some s

Roots and polynomials

If z is an n-th term of 1, show taht 1+z+z^2+z^3+....+z^n-1=0. Solve the equation with n=5 and hence factorize 1+z+z^2+z^3+z^4 into linear factors with complex coefficient and then into quadratic factors with real coefficients.

Introduction to Proofs Types

Describe the steps in and/or define how to accomplish the following types of proofs: a. That two sets are equal. b. That two sets are disjoint. c. A proof by contra-positive. d. A proof by contradiction. e. A proof by Mathematical Induction. (Question is repeated in attachment)