Search over 10,000 free study notes

Firstly, you should change the equation into the form y=mx+c where m is the gradient and c is the y-intercept. This can be done by subtracting 3x from each side of the equation to give 5y=-3x+7. Then divi...

Answer: x²+10x+24

Method: A handy way of knowing how to expand brackets involves the pneumonic FOIL: 

- F stands for First, so we multiply the first term in the first bracket by t...

For multiplication: Firstly, write out the sum you are trying to do, for example 3/4 X 1/8 Then, times the top numbers by each other and the bottom numbers by each...

5x - 20 = 2x +43 -> 5x-2x= 43+20 -> 3x=63 -> x=21 therefore x=21 

(2x+43) + (4y-5x)=180  -> 2x+43+4y-5x=180 (because adjacent angles in a parallelogram equals 180) 

4y-3x=180-43 ...

If Sophie takes a sweet from the bag on her first selection, there is a 6/n chance it will be orange. That’s because there are 6 oranges and n sweets. If Sophie takes a sweet from the bag on her second se...