SYSTEM OF LINEAR EQUATIONS IN TWO VARIABLES Solve the following systems: 1. x y 8 x y 2 by graphing by substitution by elimination by Cramer’s rule 2. 2 x 5 y 9 0 x 3y 1 0 by graphing by substitution by elimination by Cramer’s rule 3. 4 x 5 y 7 0 2 x 3 y 11 0 by graphing by substitution by elimination by Cramer’s rule CASE 1: intersecting lines independent & consistent m1m2 CASE 2: parallel lines
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Since the third letter of my last name is the letter L‚ I have to solve problem 46 on page 636 and problem 48 on page 646. This first problem will be solved by factoring the polynomial formula of ax^2+bx+c to get a*c(-30) and to add up to (-1) we have a=2‚b=-1‚and c=-15=0. The new equation is (2m^2-m-15) Original equation: 2m^2-m-15=0 Step 1. (2m^2-6m+5=15=0) To start we separate the fraction. Then solve both sides of the original
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Mathematics includes methods‚ theorems‚ and models for solving equations that can be defined by and/or solved using numerical methods‚ graphical methods‚ or analytical methods. These three methods can solve small equations such as y=mx+b to x=-b±b2-4ac2a. Analytical methods use mathematical theorems to fully predict the implications of a theory. Analytical usually involves the user writing down formulas and follow step by step procedures find an answer. They can be used when equations are not complex
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All Four‚ One - Linear Functions In the last activity‚ we talked about how situations‚ rules‚ x-y tables‚ and graphs all relate to each other and connect. Now‚ we’ll look at how situations‚ rules‚ x-y tables‚ and graphs relate and connect to linear functions. A linear function is a function that‚ if the points from the function were to be put on a graph and connected‚ it would form a straight line. They are used to show a constant rate of change between two variables. A very simple example
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BASIC NUMERACY SKILLS – A REVISION BODMAS B Brackets first O Orders (ie Powers and Square Roots‚ etc.) DM Division and Multiplication (left-to-right) AS Addition and Subtraction (left-to-right) Do things in Brackets First. [pic] | |6 × (5 + 3) |= |6 × 8 |= |48 | | |[pic] | |6 × (5 + 3) |= |30 + 3 |= |33 |(wrong) | |Example: (Powers‚ Roots) before Multiply‚ Divide‚ Add or Subtract. [pic] | |5 × 22 |= |5 × 4 |= |20 | | |[pic] | |5 × 22 |= |102 |= |100 |(wrong) | | | |
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Skoog/Holler/Crouch Principles of Instrumental Analysis‚ 6th ed. Chapter 14 Instructor’s Manual CHAPTER 14 14-1. Letting the subscript x stand for the unknown solution‚ x + s stand for the unknown plus standard‚ and Vt the total volume of solution‚ we can write Ax = ε bcxVx / Vt Ax + s = ε b(cxVx + csVs ) / Vt Dividing the first equation by the second and rearranging gives cx = Ax csVs 0.656 × 25.7 ×10.0 = = 21.1 ppm ( Ax + s − Ax )Vx (0.976 − 0.656) × 25.0 14-2. Using the equation
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Week 3 Practice Quiz MAT/116 1 MAT/116 Week 3 Practice Quiz 1. Solve for x. A. 2x + 7 = 6 - 1 B. -3 2 C. 13 2 2. Select the expression that is equivalent to -7(x – 5) A. -7x – 5` B. -7x + 5 C. -7x – 35 D. 1 2 D. -7x + 35 3. The temperature in a hot tub is 97 degrees F. 5 The formula to convert temp to degree C is C = (F – 32). 9 What is the approximate corresponding temp in degrees C (rounded to the nearest tenth)? A. 21.9 B. -32 C. 36.1 D. 142.6 1 4. Solve for x. A. 5. 6 x <
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ALLAMA IQBAL OPEN UNIVERSITY‚ ISLAMABAD (Department of Mathematics and Statistics) WARNING 1. PLAGIARISM OR HIRING OF GHOST WRITER(S) FOR SOLVING THE ASSIGNMENT(S) WILL DEBAR THE STUDENT FROM AWARD OF DEGREE/CERTIFICATE‚ IF FOUND AT ANY STAGE. 2. SUBMITTING ASSIGNMENTS BORROWED OR STOLEN FROM OTHER(S) AS ONE’S OWN WILL BE PENALIZED AS DEFINED IN “AIOU PLAGIARISM POLICY”. Course: Business Mathematics (1429) Semester: Spring‚ 2012 Level: BA‚ B.Com‚ BBA Total Marks: 100 ASSIGNMENT
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Week Three Written Assignment mustangsallygt08 MAT126 February 18‚ 2013 Week Three Written Assignment The steps that are being followed to solve quadratic equations that came from India‚ and the steps are: (a) Move the constant tern to the right side of the equation. (b) Multiply each term in the equation by four times the coefficient of the x2 term. (c) Square the coefficient of the original x term and add it to both sides of the equation. (d) Take the square root of both
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decision time Decision making is an important aspect of the Paper F5 syllabus‚ and questions on this topic will be common. The range of possible questions is considerable‚ but this article will focus on only one: linear programming. The ideas presented in this article are based on a simple example. Suppose a profit-seeking firm has two constraints: labour‚ limited to 16‚000 hours‚ and materials‚ limited to 15‚000kg. The firm manufactures and sells two products‚ X and Y. To make X‚ the firm uses
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