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A gardener uses this formula to work out how much he charges to make a lawn. C = 7(14 +A)/ 3. C is the charge in £. A is the area in m2. He makes a rectangular lawn measuring 12.5 m by 17.6 m. How much does he charge?

Area of lawn = 12.5 x 17.6 = 220 m2 Substituting into the formula given the cost if found, C = 7(14 + 220)/3 = £546
KS
Answered by Kitty S. Maths tutor
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How do I find f'(x) for f(x)=4x^3+x^2+5x+8?

This question require you to differentiate. The general rule for this format of differentiation is to multiply the number in front of the x by the power of the x and then reduce the power by one (in formula ...
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Answered by Naomi C. Maths tutor
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How can you solve a quadratic equation?

There are 3 main ways of solving a quadratic equation x^2 + bx + c = 0 (we'll suppose the coefficient of x^2 is 1 for now). The first is factorisation, where if you can spot that you can factorise the expres...
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Answered by Warren L. Maths tutor
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Solve 5x-13 > 3x-7 for x.

What we're aiming to do is to have the 5x and 3x on the same side, and the constants on the other side of the inequality. So first let's subtract 3x from both sides, which gives 5x-3x-13>-7. Now to 'move'...
NM
Answered by Nigel M. Maths tutor
6755 Views

Differentiate (2a+3)^5/2 with respect to a

Let u=2a+3, therefore du/da=2. Let y=u^5/2, therefore dy/du=5/2(u)^3/2 Hence dy/da=du/da*dy/du=2(5/2)*u^3/2=5u^3/2
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Answered by George T. Maths tutor
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