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Express 56 as a product of prime factors in its simplest form

A prime factor is a factor (or divisor) that cannot be divided by another number.So we start with the first prime number 2: 56 / 2 = 28.8 is even, so we can divide by 2 again, 28 / 2 = 14.14 is even so we...

Answered by John K. • Maths tutor

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How do you complete the square?

Completing the square is taking an equation in the form a₁x²+b₁x+c₁ and butting it into the form a₂(x+b₂)²+c₂Let's t...

Answered by Annabelle B. • Maths tutor

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There are 9 counters in a bag. 7 of the counters are green. 2 of the counters are blue. Ria takes at random two counters from the bag. Work out the probability that Ria takes one counter of each colour. You must show your working.

Probability that Ria takes Green then Blue is 7/9 * 2/8 = 14/72. Probability that Ria takes Blue then Green is 2/9 * 7/8 = 14/72. Added together we get 28/72 = 7/18.

Answered by Zachary G. • Maths tutor

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If 3x^2 = 48 find x

3x^2 = 48 x^2 = 16 x = 4

Answered by Frankie L. • Maths tutor

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Find the inverse function of f(x)=5/(x-4)

f(x) = 5/(x-4)To find the inverse, replace f(x) with y: y=5/(x-4)Now the aim is to make x the subject of the equation:Multiply both sides by x-4:y(x-4)=5Divide by y:x-4=5/yAnd finally add 4:x=5/y + 4

Answered by Katy M. • Maths tutor

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