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
Premium Linear equation Derivative Function
Initialise Clear the workspace and load Linear Algebra package > restart; > with(LinearAlgebra): If you want practice at hand calculation you should use the worksheet "Interactive Gaussian Elimination" (see Menu) Enter the matrix of coefficients and right-hand side vector You may edit the following statements or use the matrix and vector pallettes to enter new data ( see View‚ Palettes) > A:=<<4 | 2 | 3 | 2> ‚ <8 | 3 | -4 | 7> ‚ <4 | -6 | 2 | -5>>; > b:=<<15‚ 7‚ 6>>; Form
Premium Linear algebra
Cramer’s Rule Introduction Cramer’s rule is a method for solving linear simultaneous equations. It makes use of determinants and so a knowledge of these is necessary before proceeding. 1. Cramer’s Rule - two equations If we are given a pair of simultaneous equations a1 x + b1 y = d1 a2 x + b2 y = d2 then x‚ and y can be found from d1 b1 d2 b2 a1 b1 a2 b2 a1 d1 a2 d2 a1 b 1 a2 b 2 x= y= Example Solve the equations 3x + 4y = −14 −2x − 3y = 11 Solution Using Cramer’s rule we can write
Premium Elementary algebra Linear algebra Zagreb
ECO/372 Week 2 Knowledge Check – Quiz Quiz Questions with 100% Correct Answers: 1. 2. 3. 4. 5. 6. 7. 8. The globalized AS/AD curve is the standard AS/AD model with an added According to Say’s Law‚ people A shift in the long-run aggregate supply curve will change The hypothesis about the macroeconomy that sees the recent problems with the U.S. economy directly related to the structural problems caused by globalization is referred to as the __________ hypothesis. The central difference between the
Free Economics Macroeconomics Aggregate demand
AP Biology Concept Checks Gina Andraos Concept Checks 1.1 1. For each biological level in Figure 1.3‚ write a sentence that includes the next “lower” level. Example: “A community consists of populations of the carious species inhabiting a specific area. ❖ The biosphere consists of all the environments that take place on Earth‚ including most regions of land‚ most bodies of water‚ as well as the ecosystems that combined to help make up the biosphere. ❖ An ecosystem consists of
Premium Life Ecology Ecosystem
Week 3 Knowledge Check Study Guide Concepts Mastery Score: 7 / 7 Questions MONOPOLY 100% 1 OLIGOPOLOY 100% 2 PROFIT MAXIMIZATION 100% 3 4 MARKET STRUCTURE 100% 5 6 7 Concept: MONOPOLY Mastery 100% Questions 1. In a monopolistically competitive market‚ A. firms produce differentiated products 1 B. there are barriers to entry C. firms produce homogeneous products D. the demand for any firm’s product is perfectly elastic Correct: The Correct Answer is: A. Concept: OLIGOPOLOY
Premium Economics Monopoly Oligopoly
Knowledge Check Week 1The material presented below is not meant to be a comprehensive list of all you need to know in the content area. Rather it is a starting point for building your knowledge and skills. Additional study materials are recommended in each area below to help you master the material. Personalized Study Guide Results: Score: 12 / 12 Concepts Mastery Questions Pricing Decisions 100% Market Systems 100% Market Equilibrium 100% Concept: Pricing Decisions Mastery
Premium Supply and demand Price elasticity of demand
the distribution below Y =1 X = 5000 X = 10‚ 000 X = 15‚ 000 0 1/8 1/3 Y =0 1/4 1/8 1/6 (1) 2. Suppose E[X] = 1 and E[Y ] = 2 and suppose X and Y are independent. Evaluate: a) E[2X + 1] b) E[X + Y ] c) E[X − 2Y ] d) E[XY + 1] 3. Suppose V ar[X] = 2‚ V ar[Y ] = 1‚ Cov[X‚ Y ] = 0. Evaluate: a) V ar[X + 2Y ] b) V ar[X − Y ] c) Cov[2X − Y‚ X − 1] n i=1 [Xi 4. Suppose c) n i=1 Xi = 2 and + 2] n i=1 Yi = 3. Evaluate: a) n i=1 [Xi +
Premium Economics Standard deviation Supply and demand
Conservation and Preservation check pt Conservation is the sustainable use of natural resources including wildlife‚ water‚ air‚ and earth deposits. Some of these natural resources may be renewable or non-renewable. The conservation of renewable resources like trees involves making sure that we are not using more than what we are able to replace. The conservation of non-renewable resources like fossil fuels involves ensuring that we are only using them when we need to. Preservation is maintaining
Premium Natural environment Natural resource Renewable resource
Week 1 Knowledge Check Concepts The Stakeholder Approach to Social Responsibility. Mastery Score: 15/18 Questions 0% 1 2 100% 3 4 5 67% 6 7 8 Company Mission 100% 9 10 11 Company Goals and Objectives 100% 12 13 Three Levels of Strategy â Corporate‚ Business-Level‚ Functional 100% 14 15 Strategic Management Process 100% 17 18 Sarbanes-Oxley Act of 2002 Management Ethics 16 Concept: The Stakeholder
Premium Strategic management Corporate governance Management