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Basic Algebra

Gauss-Jordan Elimination

4x(1) + 5x(2) + 2x(3) = 11 2x(2) + 3x(3) - 4x(4) = -2 2x(1) + x(2) + 3x(4) = 12 x(1) + x(3) + x(4) = 9 Using a Gauss-Jordan Elimination process, x (1) =

Cost of cleaning pollution

Please help answer the following basic algebra problem. Provide step by step calculations. The cost in dollars of removing p% of the pollutants from the water in a small lake is given by: C = 125,000 p / 100 - p Where 0 < p < 100, C is the cost, and p is the percentage of pollution removed. (a) find the cost of elim

canonical formulas of conical sections and their properties

Please see the attached file for the fully formatted problems. 1. Solve the system of equations algebraically. Be sure to find all solutions! X^2+y^2=10 2x^2-y^2=17 I got not sure if it's right or missing x=2.999999976132 Y=0.999999870315 2. Find the coefficient of the term x^5 y^3 in the expansion of (4x

Word problems on Equations

(1) To find a number which tells what person in a row (if no more than 9 people are in a row) is wearing a ring on which joint of which finger, double the number of the person in the row, add 5, multiply by 5, add the number of the finger, multiply by 10, add the number of the finger joint and subtract 250. The hundreds digit te

Steve's Fishing Trip

Please see attachment. Steve has just returned from salmon fishing. He was lucky on this trip and brought home two salmon. Steve's wife, Wendy disapproves of fishing, and to discourage Steve from further fishing trips, she has presented him with the following cost data. The cost per fishing trip is based on an average of 10 f

20 Problems : Graphs, Quadratic Equations and Word Problems

Please see the attached file for the fully formatted problems. 1. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. F(x) = The vertex is ? Type an ordered pair. The line of symmetry is 2. Solve (b) Find the x-intercepts of f(x) = 3. Find t

The answer to Several algebra Word problems

9.1 #108. 108. Comparing wind chills. Use the formula from Exercise 107 to determine who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind. 9.2 #132. Top bond fund. An investment of $10,000 in the Emerging Country Debt Fund in 2001 was worth $24,780 in 2

Solve, Correlate like Terms and Graphing Inequalities

1.) Solve using the multiplication principle. Don't forget to perform a check. -1/6x = -9/10 The solution is_____. (Simplify your answer. Type an integer or a fraction.) 2.) Collect like terms. 17r + 4s - 11r - 9s =_____________. 3.) 4 > -3x + 3 or 10 &#8804; -5x + 3 4.) Solve using the multiplication principle. -7x > 1/1

Polynomials, area, measurement, and data

1. Factor the following expressions: a.3a + 9b + ay -az c.4a + 8b + 12c d.-2x -4y e.5m - 15n 2.Evaluate the expressions when x=3 and y=8 a.x + 2y b.-4(y - x) c.x - y d.2x + 3y e.y - 2(x+y) 3.Find the cost per ounce of each of the following sets of products, and tell which one is the

Solving Quadratic Equations using Squre Root Property

Please help with the attached problems. Use square root property to solve each equation.. Add proper constant to each binomial so that the resulting trinomial is a perfect square then factor the trinomial Use quadratic to solve equation with real number solutions.

Radicals and equations

Please see attachment. Write the following expression in simplified radical form. Find the roots of the quadratic equation: Compute the value of the discriminant and give the number of real solutions to the quadratic equation Solve the following equation for by using the quadratic formula: Find the -intercep

Advanced Algebra concept to solve mathematical problems

Need help solving algebra problems. 1. Perform the indicated operation and simplify: w-6/w-7 - w+1/w+7 + w-21/w^2-49= 2.Jack usually mows his lawn in 7 hours, Marilyn can mow the same yard in 4 hours how much time would it take for them to mow the lawn together? 3. Simplify by removing factor of 1. s^2-4/(s+2)^2 4. F

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 &#8804; 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

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

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