Department Product 1 Product 2 Product 3 Hours Available per week A 2 3.5 3 1200 B 3 2.5 2 1150 C 4 3 2 1400 (29 marks) Answer: Suppose we produce x units of Product 1, y units of Product 2, and z units of Product 3. Then, we expect that 2x + 3.5y + 3z = 1200, 3x + 2.5y + 2z = 1150, and 4x + 3y + 2z = 1400. We then need to solve this system. 3 marks i. Convert the given system to the matrix form: [pic][pic] = [pic] 2 marks ii.
Two-Variable Inequalities Rebecca Ilowiecki MAT222: Intermediate Algebra (GSQ1340L) Shenita Talton October 13, 2013 Last week we learned about functions and the relationship between variables. This week we have been working with two-variable inequalities. A two-variable inequality will have both independent and dependent variables. With the range of the inequality, there are multiple answers within the solution. For this assignment we will be working on problem #68 from page #539 (Dugopolski, 2012).
y-y1=m(x-x1) y-5=1/2(x-3) 5. Convert the equations you arrived at in question 2 and question 4 into slope-intercept form. 2: 2(y-4)=(x-1) 2y-8=x-1 2y-x=-1+8 2y=x+7 4: 2(y-5)=(x-3) 2y-10=x-3 2y=x-3+10 2y=x+7 6. Does the point you select matter when your write a point-slope equation? Explain your reasoning using complete sentences.
Two-Variable Inequality Cynthia Hobbs Mat221 Introduction to Algebra Instructor: Andrea Schoohs September 29, 2013 Two-Variable Inequality This week we are asked to complete 3 steps for problem 46 on page 240 of Elementary and Intermediate Algebra. Steps to completing the assignment are, Assign a variable to each type of rocker Ozark Furniture makes, write a linear inequality which incorporates the given information of total board feet and the board feet required for each type of rocker, and on scratch paper, draw a graph of the inequality so that you have this visual to go by as you discuss the graph in your writing. A scanned copy of this graph may be attached with your essay, but is not required. Problem 46 on page 240 of Elementary and Intermediate Algebra states: Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple.
MAT 161 College Algebra Name___________________________________ Midterm Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial by grouping. 1) x2 + 7x + 4x + 28 A) (x - 7)(x - 4) 1) B) (x - 7)(x + 4) C) (x + 7)(x + 4) D) prime Find an equation for the line with the given properties. 2) Perpendicular to the line x = 6; containing the point (5, 2) A) x = 2 B) y = 2 C) y = 5 D) x = 5 2) List the intercepts for the graph of the equation.
Revision Year 12 Maths B, Term 4 1. The function, y=3cosx+5 has an amplitude of 3 and a mean value of 5. Using these values, the range can be found to be 2≤y≤8 . Find the range of the function y=4cosx+7 2. Find the exact value of tan600 (Hint, draw a standard triangle to help) 3.
MTH208 – Week 4 Individual Textbook Problems Page 459, #20 Solve each system by graphing. and To solve graphically, we need points on a line. We can find these by assigning 3 numbers to x and solve for y and then plug them into the equation each time to see that they work. See table below for numbers assigned to x which gave us the values for y. Y=X 2x + 3y = 5 X | Y X | Y 3 | -2 3 | -0.33 0 | 0 0 | 1.66 -3| 2 -3 | 3.66 Page 461, #70 Solve each system by the substitution method. and Plugging in the solutions: Page 461, #92 Investing her bonus.
25% Total You must pass this course with an overall grade of 80% or better. Your GradeBook for this course is located in MyMathLab, not in http://betsymccall.net/prof/courses/spring06/devry/springa/114syllabus.htm# 100% 8/12 8/25/2014 Math 114 Syllabus eCollege! You can access the eCollege GradeBook for comments about your weekly TDA performance, and the points earned on the TDAs for each week. However, the GradeBook in eCollege will only record your TDA performance – all your grades for this course are compiled and maintained within the MyMathLab GradeBook. Please be advised that a passing grade for Algebra for College Students is an 80% B or better!
When seeking assistance from the instructor, your notes will enable him/her to offer suggestions and correct any misunderstandings that are troubling. Methods of Evaluation: Four (4) exams, including the final exam, will be administered during the semester. Each exam has a value of 110 points. The letter grade awarded for each exam is based on the following: Points Earned = Letter Grade Earned 90+ = A 89 - 80 = B 79 - 70 = C 69 - 60 = D 59 - 0 =
| | Study Questions 3 Instructions Save the file in your Finance folder, and name it with Study, the section number, and your first initial and last name. For example, Jessie Robinson's study questions for Section 1 would be named Study1JRobinson. Answer the questions for each lesson on the same day that you read the lesson. Save the file before closing it each day. Then turn in your answers to the study questions at the end of the section.