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factoring gives form n(n+1)(n-1) from here it should be realised that if n is not a multiple of 3 then n-1 is or n+1 is as multiples of 3 go up in 3s. Hence one of the values either n,n-1 or n+1 must be mult...

This question explores surds. To find the area of a rectangle we must multiply its two sides together. When multiplying surds we follow the rule that roota x roota = rootaxa, therefore in this case by multip...

(9-x)/2 = 2x - 8 Firstly, we want to multiply both sides by two to get rid of the fraction:9-x = 2(2x - 8)Open up the brackets:9 - x = 4x - 16Finally, we want to get the x's on one side and the numbers on th...

A curve has an equation y = 2x 2 – 5x + 12 a. Write y = 2x 2 – 5x + 12 in the form a(x + m) 2 + n b. Find the coordinates of the minimum point of the graph. c. Does the graph of y = 2x 2 – 5x + 12 , cross th...

Label the equations, [a] 5x + y =21 and [b] x-3y =9. [b]: x - 3y = 9, [c]: x = 3y + 9. Substitute [c] into [a] 5(3y + 9) + y = 21 , 16y + 45 = 21 16y = -24 , y = - 3/2. Substitute y = -3/2 into [b]: x + 9/2 ...