Finite Math (part 2)

(See attached file for full problem description) --- 1. What is true about the number of solutions to a system of m linear equations in n unknowns if m = n? If m < n? If m > n? Solve each system by the echelon method. 3. 2x + 3y = 10 -3x + y = 18 5. 2x - 3y + z = -5 x + 4y + 2z = 13 5x + 5y + 3z = 14 Solve each system by the Gauss-Jordan method. 7. 2x + 4y = -6 -3x + 5y = 12 9. x - y + 3z = 13 4x + y + 2z = 17 3x + 2y + 2z = 1 11. 3x - 6y + 9z = 12 -x + 2y - 3z = -4 x + y + 2z = 7 Find the size of each matrix, find the values of any variables, and identify any square, row, or column matrices. 13. [ 2 x ] [ a -1 ] [ y 6 ] = [ 4 6 ] [ 5 z... click for more

word problem - If volume is 35 cubic feet, when height is 20 feet and the girth is 5 feet.

Girth is distance around. If volume is 35 cubic feet, when height is 20 feet and the girth is 5 feet. What is the heigth when the volume is 85.75 feet and the girth is 7 feet?

finite math

(See attached file for full problem description) --- 47. In general, people tend to live longer in countries that have a greater supply of food. Listed below is the 1997 daily calorie supply and 2000 life expectancy at birth for 10 randomly selected countries. Country Calories (x) Life expectancy (y) Afghanistan 1523 43 Belize 2862 74 Cambodia 1974 56 France 3551 79 India 2415 64 Mexico 3137 73 New Zealand 3405 78 Peru 2310 70 Sweden 3160 80 U.S. 3642 78 a. Find the coefficient of correlation. Do the data seem to fit a straight line? b. Draw a scatterplot of the data. Combining this with your results from part a, do the data seem to fit ... click for more

Finite Math

(See attached file for full problem description) --- 1) Discuss from your own experience a case where you had to maximize or minimize something and also how you think linear programming techniques might have helped you arrive at your final decision. 2) Read the short, well-written article on the Simplex Method which appears here: http://www.sce.carleton.ca/faculty/chinneck/po/Chapter4.pdf Discuss what is going on geometrically inside the Simplex Method. 3) Do a search using an Internet search engine and discuss some of the many computer algorithms and programs that exist to solve linear programming problems. --- (See attached file for full problem description)

Finite Math

(See attached file for full problem description) --- Please show all of you work so I can understand how to solve these problems. 1.) Without graphing, determine which of the following three points: P1 = (8,6) P2 = (2,5) P3 = (4,1) are part of the graph of the following system: y - 10x <= 0 2y - 3x >= 0 y + x <= 15 ________________________________________ 2.) Maximize and minimize the quantity z = 15x + 20y subject to the constraints: x <= 6 y <= 6 3x + 2y >= 6 x >= 0 y >= 0 ________________________________________ 3.) Maximize: z = 4x + y subject to the constraints: 0 <= x <= 7 0 <= y <... click for more