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make x the subject of 5(x-3) = y(4-3x)

step 1 ; expand the brackets5x - 15 = 4y - 3xystep 2 ; group together x values on one side5x + 3xy = 4y + 15step 3 ; single out xx (5+3y) = 4y +15step 4 ; make x the subjectx = (4y + 15) / (5+3y)
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Answered by Sofia A. • Maths tutor
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Given that y = arcsinh(x), show that y=ln(x+ sqrt(x^2 + 1) )

In questions involving hyperbolic functions and natural logs, it is often useful to rewrite things in terms of e, since then you might be able to take a natural log at the end of your answer. Here, we can re...
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10716 Views

What is the Demographic Transition Model?

The Demographic Transition Model is one of the main ways we can easily understand how a population will change demographically as countries go through economic and social change. It was originally developed ...
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Answered by Edward S. • Geography tutor
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Two species of frogs, each found on one of two neighbouring islands yet with the same genus, are identified. Scientists believe that the two species originated from a common ancestor. Explain how these species could have evolved.

Questions about speciation are at their core based on Darwin's theory of evolution. As a result, we must recall GCSE knowledge of natural selection to combine with the new concepts in speciation introduced a...
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Answered by Iqra S. • Biology tutor
3550 Views

What was the most significant factor in the causation of the October 1917 Russian Revolution?

Firstly, we need to decide what the main factors were. They can be defined as the failure of the Provisional Government, the role of Lenin and the Bolsheviks and WW1. Ultimately, Lenin and the Bolsheviks car...
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Answered by Cora B. • History tutor
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