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Factorise the quadratic equation: 3x^2+x-2

3x^2+3x-2x-2
3x(x+1)-2(x+1)
(3x-2)(x+1)

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Solve the simultaneous equations x + y = 2 and x^2 + 2y = 12

x+y=2 (1) x²+2y=12 (2) As we are dealing with x² we’re going to have to use substitution to solve this set of simultaneous equations. From the first equation, we can rearrange to mak...

Answered by Ayesha K. • Maths tutor

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It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?

It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?Firstly, you need to find how long it would take to fill a...

Answered by paige g. • Maths tutor

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Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account: Interest 2.5% per annum Shares account: Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account.

Q: Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account: Interest 2.5% per annum Shares account: Interest 3.5% per annum Ali invests £2000 in the cash savings ...

Answered by Simran B. • Maths tutor

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Rob has a bag with white, black and blue counters. There are twice as many blue counters than there are white. A qaurter of all the counters are black. If there are 5 white counters, how many counters are in the bag.

White:blue is 1:2. (There are twice as many blue counters)if there are 5 white counters there are 10 blue counterswhite + blue = 15in the bag there are the 15 white and blue counters PLUS the blacki.e. In...

Answered by Aurimas K. • Maths tutor

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