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In order to find the slope of the given function, we firstly have to find its first order derivative. This derivative will give us the slope of the original function at every point. To find the derivative...

Firstly, we can solve this equation by drawing a graph. By drawing it accurately we can see that the line intercepts the y-axis at -8 making the c value = -8. Next to calculate the gradient, m, we can tak...

For this question we will be using the substitution method in order to solve this question. Firstly we will take the less complex equation and rearrange to make either x or y the subject of the formula. W...

(x+2)² -16 = 0 (x+2)² = 16 x+2 = -4 or +4 x = 2 or -6

The trick to finding y in this question is to interpret the clue in the question of 'directly proportional'. Directly proportional means that the y and the (x-1)² scale by the same amount. Anot...