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Basic Algebra


Please see the attached file for the fully formatted problems. Problem #6 Write the following geometric expression using the given symbol. times pi times the cube of the radius (r) Problem #7 Do you think multiplication is distributive over subtraction? ½ (16 - 10) and ½ x 16 - ½ x 1


2. Write in lowest terms 3. Express compound fraction in lowest terms 4. Write as a single rational expression 5. Add and simplify 6. Reduce to lowest terms 7. Reduce rational expression to lowest terms 8. Solve for z 9. Solve all values of w 10

Solving Equations and Inequalities

1. Solve for X: 12 - 3(x+1) = x+17 The value of x is a. A number less than -2 b. At least -2 but less than 0 c. At least 0 but less than 2 d. At least 2 but less than 4 e. At least 4 2. Solve for P: 7(3P+4) = 8(2P+5) + 13 The value of P is a. a number less than 0 b. at least 0 but less than 3 c. at least 3 bu

Abstract Algebra : Mathematical Induction

Prove the following statement Given the recursively defined sequence a_1= 0, a_2= -30, and a_n=8a_n-1 -15a_n-2, use complete induction to prove that a_n=5*3^n - 3*5^n for all positive integers n.

Lowest Terms

Reduce answer to lowest terms 3 3 ________ - _____ 2y 2y+4


(2 √x √y)(√x + √y)

Algebra Word Problems and Questions

Please see attached file for full problem description. Please show all work when solving the two problems. 1. Why bother factoring a quadratic equation before you solve it? 2. Why are there usually two solutions in a quadratic equation? 3. Under what conditions would one or more solutions of a rational equation be un

Word Problems with formulations and calculations

I need the following word problems answered and explained with formulations and calculations. Solve each inequality. State the solution set in interval notation and sketch its graph. -3/5<1/5-2/15w<-1/3 -3<or equal x <or equal -1= Solve by using an inequality. 1. Car Selling. Ronald wants to sell his car through

Amount of concentration in chemicals

Chandra has 5 liters of a 24% solution of sodium hydroxide in a container. What is the amount and concentration of sodium hydroxide solution she must add to this in order to end up with 8 liters of 27% solution?

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.