Search over 10,000 free study notes

The first step is to expand out the brackets, we can do this more simply by splitting the equation into two parts. In order to expand the first half of the equation, 3(m+4), you must times both m and 4 by...

This question wants you to "complete the square". To start this question we put a = (coefficient of x)/2 = 6/2 = 3.So far we have 𝑥²+6𝑥+11 = (𝑥+3)²+b. We now need to find b. We can expand and si...

First, we substitute in our functions f and g. We can do this in two ways.1) Find g^-1:As g takes 3 from x, the inverse operation must add 3 to x. So g^-1(x) = x + 3Then our equation gf(x) = g^-1(x) becom...

x=5±sqrt(33)

6m = 600 cm. 2cm:600cm = 1cm:300cm. Therefore answer = 300.