Binomial expansion Study guides, Study notes & Summaries

A-Level Pure Mathematics Formulas – WJEC Questions and Answers 2023 Completing the Square (Quadratic) a(x+B)^2+c Quadratic Formula x = -b ± √(b² - 4ac)/2a The Discriminant b^2-4ac Two distinct real roots b^2-4ac > 0 One real repeated root b^2-4ac = 0 No real roots b^2-4ac < 0 Factor Theorem If (x-a) is a factor of given polynomial P(x), P(a) = 0 Remainder Theorem If given polynomial f(x) is divided by (x-a) and isn't a factor...

IB biology past essay questions HL and SL all units and mark scheme 2023 (A+) Outline what is meant by the trophic level of an organism with three examples from one named habitat. (4 max) - Answer-feeding level for an organism in a food chain naming of habitat (1 mark) naming three trophic levels correctly (1 mark) three examples forming a food chain from the named habitat (1 mark) 2. Compare the ways in which autotrophic, heterotrophic and saprotrophic organisms obtain energy. (6 ma...

A level Maths Verified Solutions If two lines are perpendicular, what must their gradients equal to when multiplied together? ️-1 What is the equation to calculate the gradient of a line? ️y₂-y₁/x₂-x₁ What is the equation to calculate the length of a line? ️√(y₂−y₁)^2 + (x₂-x₁)^2 What is the equation to calculate the midpoint of a line? ️(x₂+x₁) over 2 , (y₂+y₁) over 2 What is the equation of a circle? ️x²+y²=r² How do you find the midpoint of...

AQA A-level MATHEMATICS 7357/3 Paper 3 Question Paper + Mark scheme [MERGED] June 2022 PB/Jun22/E7 7357/3 (JUN) A-level MATHEMATICS Paper 3 Time allowed: 2 hours Materials l You must have the AQA Formulae for A‑level Mathematics booklet. l You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions l Use black ink or black ball-point pen. Pencil should only be used for drawing. l Fill in the boxes at the top of this pag...

Page | 1 Copyright 2022 © McGraw Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. Solution Manual for Concepts of Genetics 4th Edition By RobertBrooker Page | 2 Copyright 2022 © McGraw Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. CONCEPTS OF GENETICS, 4/e ANSWERS TO PROBLEM SETS Chapters 1-24 CHAPTER 1 Note: the answers...

AQA AS MATHEMATICS Paper 1 Thursday 18 May 2023 Afternoon Time allowed: 1 hour 30 minutes Materials  You must have the AQA Formulae for A‑level Mathematics booklet.  You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of this page.  Answer all questions.  You must answer ea...

1 Simplify 5a2c 3 #2a4c 5 ^ h - . [2] 2 Find the equation of the line joining the points (-1, 9) and (2, -3), giving your answer in the form y = mx + c. State the coordinates of the points where this line intersects the axes. [5] 3 Find the value of (i) 2 2 4 1 - a k , [2] (ii) 8000 3 2 ^ h . [2] 4 For the following equation, express x in terms of y. y x y x 3 2 2 1 = + + [4] 5 Find the coordinates of the point of intersection of the lines y = 4x + 3 and 3x + 2y = 9. [4] 6 Fi...

Edexcel AS Pure Maths, AS-Level Pure Maths, pure maths As level QUESTIONS WITH CORRECT ANSWERS Quadratic Formula - ANSWER Domain - ANSWER The set of possible inputs for a function. Range - ANSWER The set of possible outputs of a function. Discriminant - ANSWER b² - 4ac > 0 then two distinct real roots. b² - 4ac = 0 then one repeated real root. b² - 4ac < 0 then a quadratic function has no real roots. Types of Lines for Regions - ANSW...

Pure Maths A Level Questions and Answers 100% Pass Gradient y2-y1/x2-x1 Length of a line sqrt((x2-x1)^2+(y2-y1)^2) Midpoint (x1+x2/2, y1+y2/2) How do you know if two lines are perpendicular? When you multiply the gradients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle How do you know if two lines are parallel? The gradients should be the same What should you always remember when finding the square roots? T...

IB biology past essay questions HL and SL all units and mark scheme 2023 (A+) Outline what is meant by the trophic level of an organism with three examples from one named habitat. (4 max) - Answer-feeding level for an organism in a food chain naming of habitat (1 mark) naming three trophic levels correctly (1 mark) three examples forming a food chain from the named habitat (1 mark) 2. Compare the ways in which autotrophic, heterotrophic and saprotrophic organisms obtain energy. (6 ma...