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Basic Algebra

13 Algebra Problems : Inequalities, Systems of Equations and Word Problems

Please see the attached file for the fully formatted problems. 1.) Graph the inequality on a plane. 3x + 4y ≤ 12 2.) Determine whether the ordered pair is a solution of the inequality. (4, 13); 5y - 6x > 4 Is the ordered pair a solution? Yes or No 3.) Miguel's insurance company will replace his car if repair co

Radical expressions

See attachment for expressions 1. Multiply. Simplify wherever possible. 2. Solve. Simplify your Answer. 3. Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. 4. Multiply and simplify by factoring. Type an exact answer, using radicals as needed. 5. Rewrite with rational ex

Mathematics - Basic Algebra - Functions

Consider two linear function: f(x) and f -1(x), their lines intersect at a point with a x-coordinate of 10 and the slope of f(x) is 1/2 *Find the SI equation *Find x= f -1 (y) then express the inverse function in terms of x: y = f-1(x) *graph the two lines on the same set of axes, clearly showing all four x and y interce

Mathematics - Algebra - Simultaneous Equations..

Bottle A contains an 80% acid solution. Bottle B contains a 20% solution of the same acid. How many cc from bottle B should be mixed with solution from bottle A to make 40 cc of a mixture which is 40% acid?

Mathematics - Algebra - Simultaneous Equations

After the bake sale, the Campus Ministry volunteers counted how much money they raised. In addition to the 18 one - dollar bills, the group had $9.50 in quarters, dimes, and nickels. They had twice as many dimes as nickels and 2 more than three times as many quarters as nickels. How many of each coin did they have?

Important information about Several algebra Word problems

Please see attachment. 82. Driving marathon. Felix drove 800 miles in x hours on Monday. a) Write a rational expression for his average speed. b) On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on 90. Barn painting. Melanie can paint a certain barn by herself in

Calculating area of a hill contour

Please show work. Please see the attachment. A new road is to be cut through a hill, and the contractor responsible for building the road wants to know how much soil will need to be removed. A diagram of the hill and the proposed cutting is given below. A surveyor measures the profile of the hill along the 300m length o

Examples of Working with Quadratic Equations

Assistance with the attached doc. Give exact and approximate solutions to 3 decimal places Solve by completing the square Find the x-intercepts of The flower garden has the shape of a right triangle 51 feet of perennial border forms the hypotenuses of the triangle, and leg is 21 feet longer than other leg. Find the length

Application Problem : Buying a Home

Please see the attached file for the fully formatted problems. Appendix F Buying a Home For most people, buying a house is a great investment that can offer security in an uncertain world, but buying a house is also a commitment. Application Practice 1. Suppose you are in the market for a new home and are interes

Algebra - Simultaneous Equations

A sample which is 20% Vendium, 50% Rulium and 30% Gendium weighs 8.8 grams/cc. A sample which is 60% Vendium, 20% Rulium and 20% Gendium weighs 9.8 grams/cc. A sample which is 30% Vendium, 30% Rulium and 40% Gendium weighs 8.8 grams/cc. What is the weight of pure Vendium, in gms/cc

Mathematics - Algebra - Applications of Quadratic Equations

(1) A manager of a computer company store bought several computers of the same model for $27,000. When all but five of the computers had been sold at a profit of $900 per computer, the original investment of $27,000 had been regained. How many computers were sold, and what was the selling price of each computer? (2) A corner

Mathematics - Algebra - Quadratic Equations..

A group of students agreed to rent a house for $1200 per month. They found one more person to share the house with and the rent decreased by $60 per person a month. How many students ended up renting the house and what did each pay per month?

Mathematics - Algebra - Graph

A company determines that if x thousand dollars are spent on advertising a certain product, then S(x) units of the product will be sold, where S(x) = 200x + 1,500 / 0.02x^2 + 5 a) Sketch the graph of S(x). b) Using the graph, how many units will be sold if nothing is spent on advertising? c) Using the graph, how much sho

MTH 133, Unit 3

Please see the attached file for the fully formatted problems. MTH133 Unit 3 - Individual Project Name: 1) Solve the following equations algebraically. You must show all your work. Learn how to type math roots and fractions by clicking on the link in the assignment list. Alternately, you may type as cuberoot(x) a

Simplifying and solving an example problem

I often get the following problems mixed up: Simplify 2/x + 6/x and Solve 2/x + 6/x = 4 Discuss as many similarities and differences as you can find between these two problems.

Functions : Real-Life Application Problems

1. Area of a painting. A rectangular painting with a width of x centimeters has an area of x2 _ 50x square centimeters. Find a binomial that represents the length. 2. Amount of an investment. The amount of an investment of P dollars for t years at simple interest rate r is given by A _ P _ Prt. a) Rewrite this formula by

Business application math

I have attached the questions. This problem set involves a formula (a rational function) with which a new tortilla company might be able to forecast its production over the first few weeks of operation. In this formula, C(t) is the number of bags of tortillas that can be produced per week after t weeks of production. Here

Graph the Rational Function: Find Asymptotes and Intercepts

Pick a rational function. Here are some examples you can use: y = (x+1)/(x-2), y = 3x/(x^2-1), y = (2x-1)/4x, y = (x+3)/(x^2-1), y = (x^2+1)/(x^2 -3), y = (6x+1)/(x^2), y = x^2/(x-3), y = (3x-5)/(4x+7), y = (x^2)/(x^3 - 1) Find: a) Vertical Asymptote (if any) b) Horizontal Asymptote (if any) c) Slant Asympt

Algebra : Application Problem - Relating Length of Tibia to Height ...

A forensic scientist uses the expression 72.6+2.5T to estimate the height in centimeters of a female with a tibia of length T centimeters. If a female skeleton has a tibia of length of 32.4 cm, then what was the height of the person? Find the length of your tibia in centimeters, and use the expression from this exercise or the p


Simplify ( 3x3- 9x - 3) / ( 3x - 3 )

6 Algebra Problems: Word Problems, Systems of Equations and Inequalities

Please see the attached file for the fully formatted problems. 10. Amy paid $94.58 for a pair of running shoes during a 30%-off sale. What was the regular price?____ 17. Solve by the elimination method. 3r-5s=-24 5r+3s=62 What is the solution of the system?__ (Type an ordered pair. Type an integer or a fraction. Type

Different algebra problems

1. The result of dividing x4 - 2x3 + x2 - 3x + 2 by x - 2 is: A. x3 - x + 1 B. x3 - x - 1 C. x3 + x - 1 D. x3 + x + 1 2. What is the remainder when 4x3 + 5x2 - 13x - 7 is divided by x - 2? A. -33 B. 19 C. 33 D. 7 Use the Remainder Theorem to find P(c). P(x) = x4 + 3x2 + 1, c = 3 A. 107

Radicals - Application Practice ... (Please assist with the attached algebra)

Please assist with the attached algebra. Radicals Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper format

Algebra Functions Difficulties

I am having difficulty with a few different problems. 1. (8x^7-4)(x^8-5) 2. 5x^5-35x^4+40x^3 3. t^3-4t / t^2-64 4. -2x^3+4x^2+2x+5 Identify the degree of each term of the polynomial and the degree of the polynomial. 1st term 2nd term 3rd term 4th term Degree of polynomial 5. 19x^2-10x

Reverse thinking in common mathematics

Factoring illustrates "reverse thinking" common in mathematics. In our everyday lives, we illustrate this type of thinking often. If I know in 15 years that I may have to send a child to college, then knowing the end result (price of college) I must think in reverse and figure out steps I must take to lead up to the final outc

Synthetic Division, Remainder Factor Theorem, & Graphing Cubic

1. Explain what synthetic division is and what it is used for. (include at least 2 different uses for synthetic division) Give an example of synthetic division, show all steps. Explain what your answer means. 2. Pick a cubic function. (use something not too simple. a good example: y = 2(x+1)^3 - 5) Starting with y = x^3, use