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Basic Algebra


(See attached file for full problem description with proper equations) --- Let p be an odd prime and let be the p-th cyclotomic polynomial. Use the fact that to show that , and so find coefficients such that . Hence show that is irreducible over by using Eisenstein's criterion. ---

Cost per square inch

Calculate the cost per square inch of pizza of the following: 14" square pizza for $10.99 18" round pizza for $10.99 two 12" round pizzas for $10.99


Page 569 Problem 14 3x-x^2 Page 577 Problem 88 solve and graph

Some algebra and log questions.

(See attached file for full problem description with proper equations) --- ? Can you please show me how to solve the following problems without a calculator? thanks ? x^(2/3)=9 ? (2/3)^-x= (27/8) ? 27^(4/3)=x ? 2.8=-2.5 ln (x-70/98.6-70) ? 2/3 [(log2(x-2)+log2(x+2)-log2(x-3)] ===

Proving composite

Prove, using the given method, that 561 is composite. (See attached file for full problem description)

Logarithms equation

A) Solve the equation for x logx + log 4x=16 b) Rearrange to make x the subject y = 2logx

An open box with a square base...

An open box with a square base is required to have a volume of 27 cubic feet. Express the amount A of material that is needed to make such a box as a function of the length x of a side of the square base. I have A(27/x^2) +x^3....i have no clue to if this is correct.

Metric System Conversions

I need to be able to convert between kilo, centi, milli, micro. Can you please give me examples and explanations I get some problems right but some I get wrong. For example my teacher had this problem 5.5 kg = 5500000000 mcg Can you explain this problem also.

Carmichael Numbers

An odd composite number is called a Carmichael number if a^(n-1) ≡ 1 (mod n) for all integers a with (a, n) = 1. Show that 1729 = 7 x 13 x 19 is a Carmichael number.

Setting up an equation and an inequality

Suppose wheat and sugar are two basic ingredients necessary to bake two items: a loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar. To bake each muffin, the baker need needs 0.4 pound of wheat and 0.16

Graphing and word problems

Problem 19 Find the correct graph. Problem 20 Problem 29 Problem 30 Problem 42 Problem 47 Different interest rates. Mrs. Brighton invested $30,000 and received a total of 2,300 in interested. If she invested part of the money at 10% and the remainder at 5%, then how much did she invest at each rate?

Quadratic Equation Word Problem

A rectangle is 3 times as long as it is wide. If the width is increased by 6 feet and the length is decreased by 3 feet the area is doubled. Find the dimensions of the original rectangle.

Require assistance with homework

(a) How many check bits are needed if the Hamming error correction code is used to detect single bit error in a 5602-bit data word? Show procedures to support your answer. (b) In a system bus, data lines, address lines, and control lines are separated. Why? (c) How many base-3 digits does it take to obtain as many combi

10 Algebra Problems : Writing Equations from Word Problems and Inequalities

Page 211 & 212 Write a formula that describes the function for each of the following. # 8 A developer price condominiums in Florida at $ 20,000 plus $ 40 per square foot of Living area. Express the cost C as a function of the number of square feet of living area S. # 10 With a GM Master card 5 % of the amount char