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The sixth edition provides a thorough grounding in basic mathematical and statisical techniques for business students, and students on a professional course such as accounting. The result is a comprehensive, user-friendly, testing oriented guide to quantitative methods for business. | Part 7 Business equations and graphs This part of the book deals with methods of graph plotting and of solving standard equations which can occur in Business and Accounting and how these can be used in business applications. Linear quadratic and simple cubic functions and their graphs are covered in chapter 24 and chapters 25 and 26 deal respectively with the forms and methods of solution of linear and quadratic equations. Chapter 27 introduces the elements of differentiation and integration which are enough to cope with simple applications such as cost revenue and profit functions and equations which are specifically covered in chapter 28. Copyrighted Serial Hidden page 24 Functions and graphs The coefficients a and b can take any numeric value. For example y 15x 0 ứ 15 ờ l0 y 2.5x - 11.5 fl 2.5 b -11.5 y 14 - X a 1 b 14 y 20 fl 0 b 20 y 12x fl l2 b 0 . Form of a quadratic equation A quadratic equation involves no powers of the variable involved greater than the second and takes the general form y ax2 bx c where X is the variable a b 0 are numeric coefficients. For example y 5X2 3x - 10 fl 5 b 3 and c -10 y - 12 lOx - 4x2 a -4 b 10 and c 12 y ca 10x2 20 fl-10 b--0 and c-20 . The coefficients fl b and c can take flfly numeric value with the exception that fl cannot equal zero . 4. Special form of a linear function Linear functions were previously dealt with in chapter 12 where plotting lines and finding the equation of a line given its graph were both covered. In the previous case the line was always considered in the general form y fl bx. However it is necessary to consider a slightly quicker method of plotting lines that are given in a particular way. Namely ax by c. Note that the methods mentioned previously can still be used here but the following techniques are slightly more convenient when the line is in this special form. Consider for example the line y 100 - X which can be rewritten in the form X y 100. Putting X 0 gives y 100. i.e. the line crosses the .
