Maths Resources (page 23)

Find the equation of the tangent at the point P(3,-1) when: f(x) = x - 5x + 2x - 5 Step 1: Differentiate f(x) to find the gradient function, which is f`(x)NBs: f`(x) is the sa...

Solve the following: 5x - 3y = 14 2x - 7y = -6 Step 1: Label the 2 simultaneous equations 1 and 2: 1. 5x - 3y = 14 2. 2x - 7y = -6 Step 2: Make the numbers in front of ...

Eating Pi:We begin with a story about two friends, Sam and Michael, who attend a Pi eating contest. When they arrive at the contest, they are told that if they can beat the judge in `...

Step by Step Guide to Factorising Quadratic ExpressionsAll quadratic equations look like this (which we call the general equation):ax2 + bx + c = 0It s important to note that all...

We shall prove by mathematical induction that all cars are of the same make. First take an arbitrary set consisting of a single car. Trivially, every car in this set is of the same ma...

"1. You have a matrix. Every matrix represents a transformation. e.g. matrix (0 1 1 0) is a reflection on the line y=x matrix (cosX -sinX sinX cosX) is a rotation anticlockwise about...

The important thing for solving algebraic expressions, in other words, how to find the value of the variable in the equation, is to remember 2 key points(Let us consider the example...

Technology provides dynamic opportunities for instruction in math and STEM classrooms. We can enhance the learning process and make concepts come alive through engaging and interactiv...

As COVID-19 spreads worldwide, leaders are relying on mathematical models to make public health and economic decisions.A new model developed by Princeton and Carnegie Mellon researche...

Mixed numbers and improper fractions Follow these 3 steps to convert a mixed number to an improper fraction:1. Multiply the whole number by the denominator.2. Add the answer from...