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Differentiate f(x) = 3x^2+5x+3

Remember the rules for differentiation? We take each term which looks like ax n where a and n are just numbers and we turn it into: (an)x n-1 So for this example, we go term by term and get: f'(x) = 6x 2 + 5...
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Answered by Alok K. • Maths tutor
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If (2x+3)/(x-4)-(2x-8)/(2x+1)=1, what is x?

First eliminate fractions; Multiplying both sides by (x-4) gives; (2x+3)-((2x-8)(x-4))/(2x+1)=(x-4) Multiplying both sides by (2x+1) gives; (2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1) Now simplify the expression; E...
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Answered by Hannah C. • Maths tutor
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Solve this quadractic equation: x^2 - 8x + 15 = 0

To solve x 2 - 8x + 15 = 0 we could try to use the Product, Sum, Numbers method (PSN). The PSN method tells us that our numbers must multply to make the product of the first and last term, in this case 15. I...
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Answered by Toby S. • Maths tutor
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Lisa, Max and Punita share £240 in the ratio 3 : 4 : 8 How much more money than Lisa does Punita get?

We should put the names aside to begin with and just look at the ratio and the price. In order to find out how much the ratio 3, the ratio 4 and the ratio 8 are worth, we need to find out how much the ratio ...
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Answered by Freddie R. • Maths tutor
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Factorise and solve x^2 - 8x + 15 = 0

The question gives you a hint on how to go about this question - Factorise!! 1) Factorise the left hand side . Find the two numbers which will add to give -8 and multiply to give 15. In this case, -3 and -5....
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Answered by Kieran N. • Maths tutor
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