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Maths
GCSE

n is an integer greater than 1. Prove algebraically that n^2-2-(n-2)^2 is always an even number

We want to show that this gives an even number, so we need to get it into a form that it is 2 multiplied by some positive integer. We start by expanding the (n-2)2 out, remember that (n-2)...

Answered by Jacob C. Maths tutor
22295 Views

Nancy is driving and makes a wrong turn. The satnav indicates that her journey will take an extra 7 minutes. Nancy drives at an average speed of 60km/h to the nearest 5km/h. What's the greatest possible distance traveled in this detour in km to 2.d.p?

Start by selecting useful information in the text.time = 7 minutesspeed = 60km/h to the nearest 5km/hmaximum possible distance travelled = ? kmWe know a time and speed and want to know a distance. So we c...

Answered by Louis G. Maths tutor
2337 Views

Solve 7x+6>1+2x

For this such question, we need to find what values x can be. We need to get all the terms containing x one side of the equation and all the other terms on the other side then isolate x. To do this, we mu...

Answered by Annie M. Maths tutor
4800 Views

Solve simultaneously. x^2+y^2 = 25 ; y - 3x = 13

y = 3x + 1310x^2 + 78x + 169 = 2510x^2 +78x +144 = 0(5x+24)(2x+6) = 0x = -24/5 or -3y = -7/5 or 16

Answered by Ben H. Maths tutor
2267 Views

There are 5 blue counters and 5 red. x takes 2 counters out of the bag without replacing them. What is the probability x took 2 red counters.

5/10 * 4/9 = 20/90 = 2/9

Answered by Ben H. Maths tutor
3857 Views

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