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Basic Algebra

Few quest functions and math

Let K be a field. (All of this works just as well for a division ring.) Let V be an n-dimensional vector space over K and let A = EndK(V), the ring of n n matrices over K. The ring A is clearly Artinian since it has finite dimension over K. We need to see that the 2-sided ideals are either (0) or A. 1. Let W be a subs

Algebra : Systems of Equations Word Problems

The table below is based on surveys of double-income families and the percent of men and women in these families who said they had the greater responsibility for various areas of the housework. In the category of paying bills, a total of 98% of this responsibility was taken on by either women or men. ( One can surmise that in 2%

Few easy questions

Find the domain of each rational expression. 28. x^2 - 3 over x + 9 Reduce each expression to lowest terms. 73. 3a - 2b over 2b - 3a Perform the indicated operation. 26. b^3 + b over 5 * 10 over b^2 + b 52. (6y2 - y - 2) / 2y + 1 over 3y - 2 Find the LCD for the given rational expressions, and convert each rational

Proportions and word problems

83. Filling the tank. Chantal filled her empty gas tank in x minutes. a) Write a rational expression for the rate at which she filled her tank. b) Write a rational expression for the portion of the tank that is filled in 2 minutes. Solve the equation 59. 4/c-2 - ½-c + 25/c+6 Use a proportion to solve each problem. 47

Equations and graphing

See attached For problems 1 - 7, simplify the following expressions.: Problems 8 - 11: Solve each equation. 12. Solve the inequality and express the solution in interval notation.: 2(x - 4) < 3x + 8 Problems 13 - 18, Solve each system by the algebraic method of your choice (either substitution or addi

Who should study algebra?

Should algebra be taught to everyone? Who should study algebra? The statements below serve as possible answers to these questions and are only 'food for thought.' I welcome your constructive ideas and comments on one or several of them. Whether you agree or do not agree, the study of algebra is good for the brain. The b

Inequalities and functions solving by elimination and substitution

I'm studying and I need to check these answers against mine. Thank you for your help. Inequalities and functions... 1. 5 x + 4y=8 2. 75 + 6 9 3. Distribute: 8(w-3) = -24 4. Find the value of x: 8x - (5x+6)=3 5. Solve by elimination method: what is the solution? 5x + 6y = 2 10x + 12y = 4 6. Solve by substitution

Basic Algebra (30 Problems)

Please see the attached file for the fully formatted problems. 1. Simplify - 5 (7 - 2 ) - 3(4 - 7 ) - 13 - (-5 ) or in linear form [ - 5 (7 - 2 ) - 3(4 - 7 ) ] / [ - 13 - (-5 ) ] ___________________________________________________________________ 2. Simplify 7 - 2(14x - 2y) + 4(


A member of the Road Runner Club likes to exercise every day by walking and jogging at least 3 miles. She walks at a rate of 4 mph and jogs at a rate of 8 mph. With only half an hour to exercise, how much time can she spend walking and jogging and cover at least 3 miles? a) Give 3 possible solutions.

Equations and graphing problems

1.The equation y= -1777x+25,153 can be used to predict the number y of gun deaths in The United States x years after 2000, that is, x=0 corresponds to 2000, x=2 corresponds to 2002, x=4 corresponds to 2004, And so on. Predict the number of gun death in 2004 and 2005. In what year will the number of gun death be 11,160? The

Basic Algebra and Word Problems

Please see the attached file for the fully formatted problems. 1. 5/12+7/8= 2. ?7/6 3. -44-22= 4-(-10)= 4. 7*-3/2*-1/9 5. 6. 7. 8. 9. Solve for t 224=106-t 10. Solve for y 6=-3/2y 11. Distributive property 9(x+9) 12. 3s-12=45 13. Solve for w 4w-8=-12 14. Solve for y 2(y+6)-8y=-30 15. Solve f

Applications of Exponential and Logarithmic Functions

Part1: Using the library,web resourses,and other materials, find the hydrogen ion concentration,[H+], of the substance using the formula. Discuss the meaning of pH and [H+], the pH scale and why your chosen substance is acidic. Use scientific notion or enough decimal places so that your answer has at least 3 place values. For e

Basic Algebra

Please see the attached file for the fully formatted problems. Gasoline is about $4 per gal. You use about gallons each day driving to and from work. How much should you budget for gas over the next month (about 20 workdays)? Find the least common multiple of 10, 15, and 25. A) 150 B) 3,750 C) 50 D) 30 Add.

Evaluating Expressions with Absolute Values

Place each of the following sets in ascending order. 16. Evaluate. 32. 44. Add 40. 48. Evaluate each of the following expressions 58. Label each of the following statements as true or false. 66. 72. Business and finance. Jean deposited a check for $625, wrote two for $68.74 and $29.95 and used


Background: I have data set for two litter sites "C" and site D. Around 90 litter bags filled at site C, mass of each bag were same initially, after time 0.246 years masses of 45 bags were noted and after .493 years masses of another 45 bags noted. Similar exercise done at another site"D". The negative exponential model of

Equations for modeling

You are planning on applying for a job with ABC Advertising. Many business decisions are based on unknown quantities, known as variables, encountered in business, economics, and social science. Thus, before the interview, you want to brush up on your knowledge of linear equations and linear inequalities. Complete the following.

Functions : Transformations and Inverses

1. Given f(x)= 4x-7, g(x)= 2x - x2, and G(x)= 3/x/+2, find f(-1) + g(3) 2. Determine if the equation y2= x2 defines y as a function of x. Justify your answer 3. Sketch by hand a graph of a function f that is decreasing on [-4,2], constant on [-2,1], and increasing on [1,2] 4. The volume of a right circular cone is given

Equations and lines

1. find the slope-intercept equation of the line that has the given characteristics. slope 6 and y- intercept (0,3) The slope- intercept equation is y= 2. Find the slope- intercept equation of the line that has the given characteristics. Slope 8.8 and y-intercept (0,-4) The slope -intercept equation= . (Use integers or

Graphing and Solving Equations and Inequalities

1) Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all of your work: a) 2x + 5 = 9 Answer: x=2 Show your work here: 2x=9-5 X=4/2 X=2 b) Answer: x=-3 Show you

Algebra word problem about discount percentages

A man wants to buy a new winter suit and finds one he really likes, but it's too expensive. So he decides to wait. After thanksgiving, the price of the suit is marked down by 35%, but he waits. Just before Christmas, the store offers a sale on everything as 15% off the marked price. but he waits. For the after Christmas clea


10. A hamburger costs $1.35 and the price continues to rise at a rate of 11% a year for the next 6 yr. What will the price of a hamburger be at the end of 6 yr? 17. The New Age Savings Bank advertises 4% interest rates compounded daily, while the Pay More Bank pays 5.2% interest compounded annually Which bank offers a bett

Solving Equatons

1. 16x -16= 2. 5x = 3. x = 4. 12x 5. 100x 6. 8a 7. 9x 8. 27x 9. 2x

Proofs, Diophantine equations, and sequences

See attached 1- Prove by induction, the following result for all n 1- Prove by induction, the following result for all n 2- Prove that , if x2 3- Use induction to prove that (This can be used to show that the infinite har