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Basic Algebra

Review of factors

See attached file for full problem description. Factor 1. 2x^2 -19x +25 2. 60w^3 + 85w^2 -25w 3. 125 + 27z^3 4. Find the least common multiple of the two expressions: 9t^3wy and 5t^4w 5. Factor: uw - 6z - wz + 6u 6. Factor: -2x +wx - 4w +2w^2 7. Factor quadratic expression: t^2 +10

Help with summary.

I am in desperate need of a summary of the attached file. (My class is "math 07: exploring world cultures in math class.)

Logarithms and Simultaneous Equations

1. Given that x and y are both positive, solve the simultaneous equations log(xy) =7 log(x/y) =1 Answers given: x = 10000 y = 1000 2. log (p - q +1) =0 log (pq) + 1 = 0 Show that p = q = 1/square root 10 3. Solve the following equation for x: 2^2x + 1

Completing the Square and Square Root Property

Use the square root property to solve the following equations. x^2= 169 x^2-12=0 5x^2-65=0 (x-2)^2= 25 Solve the equation by completing the square. x^2+4x-21=0 x^2+16x+43=0 x^2+12x=-13 x^2+15=-10x 4x^2+16x+7=0 Use the quadratic formula to solve the following equations x^2+7x+6=0 x^2-22x+121=0 2x^2-(square root

Roots and Radicals problems

Please see attached file for full problem description. Please help with these problems and show how you came to get the answer. Thank you.

Abstract Algebra : Equivalence Relations

Please help with the following problem. A relation R is defined on the set Z of all integers. In each case, prove that R is an equivalence relation. Find the distinct equivalence classes of R and list at least four members of each. 1- xRy if and only if x^2+y^2 is a multiple of 2. **Write x^2+y^2 as (x+y)^2-2xy 2- x

Word problems with time and distance (Please be descriptive)

1. Calculate distance in inches that a bicyclist travelling 35 mph moves in 1/125 of a second? 2. Notice the bicyclist is riding along a white line. Suppose the length of this white line captured in a photograph is 14 ft. Use proportions to calculate the distance the bicyclist will appear to move in a photograph of this sc

Basic Mathematical problems (Algebra) Help

Attached you will find the problems to be completed. I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers. 1. List the factors of each of the following numbers. 66 Use the following list of n

Solving Equations using Logarithms

1. 2^2x - 5 x 2^x + 4 = 0. Answer given: 0,2 2. 2 x 2^2x - 11 x 2^x + 5 = 0. Answer given: -1, 2.32 3. 2 x 3^2x - 5 x 3^x = 4. Answer given: 1.04

Finding Limits

Use algebra and limit laws to find the limits: a)lim of square root of x+1 - square root of x as x approaches + infinity b) lim of square root of x^2+x+1 - square root of x as x approaches + infinity c) lim (x^3-x^2) x as x approaches + infinity Check you answers by graphing the functions. For example graph lim of squar

Applications of Quadratic Equations : Mortar Shell

A Mortar shell fired with an angle of elevation of 52 degrees has a range of 2.1 km. Neglecting air resistance determine: 1 - The time of the flight 2 - The shell's initial velocity 3 - The shell's range and height 30s after firing 4 - The other range at which the height was the same as calculated in part (3) above.

Solving Equations using Logarithms

Exercise from textbook: Solve the equation for x (by taking the logarithms of both sides): 6^1-x = 2^3x+1 Answer given: 0.28 All the other exercises have x on the same side (left) so this one has thrown me.

graphing inequality and evaluate function

Please see the attached file for complete description Sec 7.4 In exercises 8, we have graphed the boundary line for the linear inequality. Determine the correct half-plane in each case, and complete the graph. See attached file for full problem description. y > 3 Graph each of the following inequalities. 16. 4x + y > =

Quadratic Formula

Solve each equation by using the Quadratic formula So that you understand the problem correctly it should read 4 x squared minus 4x plus one equal zero. I am having a hard time understanding how to write algebra symbols using a computer, would you also tell me how to write this problem. 4x2 - 4x + 1 = 0 "V" squared pl

Quadratic equations help

1. Work with a partner to decide all values of b in the following equations that will give one or more real number solutions. A. 3x^2 + bx-3= 0 B. 5x^2 + bx+1= 0 C. -3x^2 +bx-3= 0 D. Write a rule for judging if an equation has solutions by looking at it in standard form. *What is your conclusion?* 2. Solve the fol

Logarithmic functions

Logarithmic functions have an interesting history. Although John Napier is credited for popularizing logs, there are earlier developments that include another mathematician who developed logs earlier and independently. Furthermore, logarithms became especially important for allowing difficult calculations prior to the developmen

Story Problem

F(x)=62 + 35 log (x-4) Where x represents the girls age (from 5-15) and f(x) represents the percentage of her adult height. Approximately what percentage of her adult height has a girl attained at age 13? Round to the nearest tenths of a percentage.

Various Algebra Problems

Write in simplest form 1) 5x - 20 ___________ 7x - 28 2) 9x^10 _________ 63x^18 Multiply 3) 7x^2 16 ____ * ____ 4 x^4 4) 2x - 4 3x _____ * _____ x^2 - 4x 2 - x Divide 5) 2x - 6

Algebra Problems

Find the square root. Assume that all of the variables represent positive real numbers. 1. The square root 25x^12 Find the cube root. 2. ^3 square root 512 Simplify the radical expressions. Assume that all variables represent positive real numbers. 3. the square root of 72 multiply the square root of 2 4. the square

Introductory Mathematics

These problems are labeled as Natural numbers, Prime numbers, Integers, Rational numbers, Irrational numbers, Groups Felds and Real numbers, Discrete Mathematics,and Crytography. p.188 #26 Classify as an example of the commutative property, the associative property, or both: (3+5)+(2+4)=(3+4)+(5+2) p.188 #30 Think of thre

Polynomial, rational, exponential and logarithmic functions and graph

To exercise your skills, you are to perform the following using different tools available to you (e.g. Excel spreadsheet, graphing calculator, etc.) and write and explanation on your findings: The graph of: f(x)= 0 The graph of: f(x) = a0 , where a0 ≠ 0 The graph of: f(x) = a0 + a1x , where a1 ≠ 0 For each o

Algebra : Solving Equations from Word Problems

Find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the average weight and show the calculations necessary to find the approximate

Finding Real Zeros

1. P(x)= 2x^4 + 15x^3 + 17x^2 + 3x -1 Find all real zeros. 2. P(x)= 8x^3 + 10x^2 - 39x + 9; a=-3,b=2 Show that the given values for a and b are lower and upper bounds for the real zeros of the polynomial. 3. P(x)= x^3 - 3x^2 + 4 Find integers that are upper and lower bounds for the real zeros of the polynomial. 4. P(