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I always found drawing graphs one of the hardest parts of maths - especially in C1 where you cannot use a calculator to help you. So, I used some simple rules to find key parts of the graph which would si...

We need to split the problem into two cases to remove the abs sign. Case 1: 5x - 6 >= 0, equivalent to x >= 6/5. In this case the problem is now to find the values of x that satisfy x² &g...

300 x 1/10

= (300/10) x 1

= 30 students sat on chairs

85% of 300 

= (300/10) x 8.5

= (30 x 8) + (30 x 0.5)

= 240 + 15

= 255 students sat on the floor

1

An improper fraction is any fraction where the order of the constant (power of x) is equal or greater in the nuberator than the denominator, take for example;

(x²-3x-2)/(x²-3x...