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Rearrange the following to make 'W' the subject: aw + 3 = 4(bw + 5)

aw + 3 = 4(bw + 5) Let's get rid of those brackets... aw + 3 = 4bw + 20 Now we rearrange... aw - 4bw = 17 Factorise... w(a - 4b) = 17 Final rearrange... w = 17 / (a - 4b) Done.
JM
Answered by Jack M. • Maths tutor
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what is the geometrical meaning of the derivative of a function f?

The derivative of a function f(x), usually denoted as f'(x), gives you the gradient of the graph of f(x) for every point x in the domain of f. Therefoore, the derivative of a funtion can show how fast/slow a...
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Answered by Theodore G. • Maths tutor
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How do I draw a graph, y = mx + c, if I am only given m and a point that the line passes through?

Let's say we have the equation y = 2x + c and we are told that the line passes through the point (3, 4). Our first step is to use the numbers from the point (3, 4), by substituting them into our equation. Li...
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Answered by Alex D. • Maths tutor
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a x 10^4 + a x 10^2 = 24 240 where a is a number. Work out a x 10^4 - a x10^2 Give your answer in standard form.

From first principles: ax10^4 is the same as a0000. ax10^2 is the same as a00 So, a0000 a00 a0a00 If we look at this pattern and compare to the number in the question: a0a00 | | 24240 the a0 corresponds to t...
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Answered by Joe B. • Maths tutor
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Express 1/((x^2)(1-3x) in partial fractions.

This is a step above a partial fraction question seen in core 1 and core 2, made mkre difficult due to the double (repeated) root of x. To solve this we must consider that there is 3 separate roots, x, x^2 a...
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Answered by Jack A. • Maths tutor
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