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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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Given x^3 + 4x^2 + x - 6 = 0 , and one of the factors of this equation is (x-1), factorise and hence compute the other solutions for the eqaution.

Using either polynomial long division or by inspection, the equation can be reduced to:(x-1)(x²+5x+6)
The other bracket can the be factored out using inspection or the quadratic formula to...

Answered by • 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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A curve C has the equation y=5sin3x + 2cos3x, find the equation of the tangent to the curve at the point (0,2)

Firstly, you need to differentiate the curve y. Using the equation dy/dx of sinkx= kcoskx, you need to differentiate 5sin3x first. So, as k=3 in this example, the answer is 5(3cos3x) which is equal to 15c...

Answered by • Maths tutor

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