Guidance and support for the International Baccalaureate - the IB Math Studies Project.Patterns within systems of linear equationsThis task will have you investigate linear equations in which the constants have a well-known mathematical pattern. PART A Consider the following, linear equations whose constants follow a well-known pattern: x+2y =4 25x+5y = 1 3x+y = 1/3 2x-6y = 18 • Examine the constants within each individual equation and describe the well-known pattern common to the constants in each equation. • Give several other examples of equations fitting this pattern. Rewrite these equations in the form y = mx + b. • Write the general equations for this pattern of constants in both standard (Ax + By = C) form and slope-intercept (y = mx + b) form. How are the constants A, B, C, m, and b related to each other? Explain why this is so. |
Репетитор по IB Maths - Математика для International BaccalaureatesIB Math Exam, A-level, SAT помощь по SkypeКурсовые, Контрольные, Экзамены Решение задач и контрольных работ на заказ. Математика. Решение контрольных работ. |
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Now consider the entire family of linear equations fitting this pattern. • On the same set of axes, graph a large sampling of representatives of this family, being sure to include a wide range of slopes. You may wish to explore this family further using the dynamic/ animated display features of your calculator or graphing software. Describe the graphical pattern you observe. Patterns within systems of linear equations the coefficients follow a geometric progression the constants exhibit the same well known patterns x + qy = q2 for two linear equations whose coefficients follow a geometric progression with ratios r and s, the point of intersection is (- rs, r + s) It is a conjecture to be proved. the points of intersection are always (-1, 2) |
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Рубрика "нам пишут и просят помочь на экзамене по математике и физике"Я собрался поступать в ЗФТШ, и мне будет нужна помощь в решении заданий, в которых я не справлюсь. |
Отзыв о репетиторе МФТИ Алексее Эдуардовиче Султанове
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