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Solve the following pair of simultaneous equations 1)x+3y=11 2)3x+y=9

Rearrange equation 2 to make y the subject, then substitute the y expression into equation 1 and collect like terms: 3x+y=9 -->> y=9-3x x+3y=11 -->> x+3(9-3x)...

TD
Answered by Tutor94832 D. Maths tutor
7173 Views

How to factorise x^2 + 6x +5

Firstly you check to see if there is a coefficient to the x2 term, in this example there isn't so we know that both the brackets will have a single x in, (x +  )(x +  ). We also know both the s...

FE
Answered by Fred E. Maths tutor
32737 Views

A sunflower is one hundred and fifty centimetres tall. How tall will it be if its height increases by ten per cent?

To start, find out 10 per cent of 150. To find a percent, divide by 100 and multiply by the percent. 150 divided by 100 is 1.5, 1.5 multiplied by 10 is 15. Finally, add the 10% on to the original, so 150 ...

CG
Answered by Charmaine G. Maths tutor
3856 Views

integrate x^2(2x - 1)

This can be achieved through integrating by parts. The term we wish to differentiate and ultimately eliminate here is the x^2 term. There by applying the formula twice the integration can be accomplished....

MV
Answered by Maximilian V. Maths tutor
4745 Views

How to differentiate the function f(x)= 3x^3 + 2x^-3 - x^(1/2) + 6?

Firstly the general formula you can use on each of the x terms in the polynomial you are trying to differentiate is; f(x)=xn then f '(x)=nxn-1 where any constant, c, will differentia...

FE
Answered by Fred E. Maths tutor
3757 Views

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