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    Basic Algebra

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    Introduction abstract algebra

    Let M and N be two Normal subgroups of G. Prove that (1) MN=NM (2) MN is a normal subgroup of G (3) if M ^ N = {e} then MN/N and M are isomorphic ( ^ means "and") Thank you

    Logarithmic and exponential expressions

    Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the pH of an acidic substance of your choice. Using this pH, show how to find the hydrogen ion concentration, [H+], of the substance using th

    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

    Simplifying and Combining Algebraic Terms

    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( x -

    Road Runner Club Algebra

    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

    Algebra problems - Graphing, Solving and Using equations

    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? Th

    Divisibility Proofs Minimal Polynomial

    Hello, I need a detailed solution to the attached problem: Let A be a finite dimensional F-algebra, a is in A a unit of finite order m..... Hint for part (a): p | x^k - 1 <=> x^k = 1 in F[x]/p <=> m|k since m = ord(x) in F[x]/p

    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

    Writing Equations from Word Problems: Example

    Write algebraic expressions for the following unknown integers. See Example 4. 1) Three consecutive even integers Translating Verbal Expressions into Algebraic Expressions 2) The rate, given that the distance is 200 feet and the time is x + 3 seconds 3) The perimeter of a rectangle, given that the length is x yards

    Inverses of Hyperbolic Functions

    Find and prove a formula for the inverse hyperbolic tangent, arctanh(x) . The formula should involve a natural logarithm. Also, check the answer by substituting the definition of tanh x into your inverse formula and simplify. Show all work please.

    Algebra - Fractions, Decimals and Areas

    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

    Conducting Regression Analysis in Minitab

    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 and expressions

    See attached Add the polynomials Find the product Find the opposite of the polynomial Simplify Find the quotient and the remainder. Write without negative exponents Factor out the greatest common factor Factor completely Solve the given equation Reduce the given expression to lowest terms Solve the equation fo

    Algebra - System of Equations - Word Problems

    Part 3: Maria's Mantillas. Maria plans to make two different kinds of mantillas (veils), some out of lace and some out of a sheer cotton fabric. She also plans to make two sizes of mantillas, one size for women and one size for young girls. She has 150 yards of the lace fabric and 200 yards of the cotton fabric. She will need 2

    Basic Algebra: Graphing, Trends and Forecasting - MTH133 Unit 3

    1) Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work. Learn how to type math roots and fractions by clicking on link in the assignment list. Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, like x 3 is typed x^3. 2)

    Algebra : Writing Equations from Word Problems

    In 4 years Gasper will be old enough to drive. His parents said that he must have a driver's license for 2years before he can date. Three years ago Gasper's age was only one half of the age necessary to date. How old must gasper be to drive, and how old is he now?

    Functions : Graphing, Asymptotes and Transformations ( MTH133 - Unit 4 )

    Please see the attached file for the fully formatted problems. 1) State the domain of the following and provide a brief explanation for your answer: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs. What is the e

    Exponential and Logarithmic Functions, Asymptotes and Modeling

    Name: 1) Find the domain of the following: a) Answer: Show your work or explain how you obtained your answer here: b) Answer: Explain how you obtained your answer here: c) Answer: Show your work or explain how you obtained your answer here: d) Answer: Explain how you obtained your

    Logarithms and Exponents Word Problems

    1. a. Write 43 = 64 in logarithmic form. 2. Solve algebraically; 3. Write in terms of logarithms of x, y and z. 4. Rewrite as a single logarithm: 5. The population of a town is modeled by the equation where t is measured in years. In what year will the population be 25,000? 6. The population of the United States tends to

    Equations and Inequalities Model Situations

    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.

    Graphing and Solving Systems of Inequalities: Ordered Pairs

    Let's say you are a hospital dietitian. A patient must have at least 165 milligrams and no more than 330 milligrams of cholesterol per day from a diet of eggs and meat. Each egg provides 165 milligrams of cholesterol and each ounce of meat provides 110 milligrams of cholesterol. I don't know how to graph the system of inequalit

    Mathematics - 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