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c is a positive integer. Prove that (6c^3 + 30c) / (3c^2 +15) is an even number.

We aim to factorise the numerator. This would give 6c(c^2 + 5). We then factorise the denominator. This would give 3(c^2 + 5). Since (c^2 + 5) is present in both the numerator and denominator, it will cancel...
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Answered by Oliver B. • Maths tutor
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What determines whether something is acidic or basic?

The pH of a particular substance depends on the functional groups that it has within its structure. What is a functional group? A functional group is a group of atoms and bonds within a molecule. The way the...
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Answered by Emily A. • Chemistry tutor
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What evidence is there to show that global warming exists?

There are several things that prove global warming is an existing problem. One of the main pieces of evidence is the rise in global temperatures. The increased production of greenhouse gases has resulted in ...
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Answered by Shahari K. • Geography tutor
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What triggers an earthquake at a tectonic plate margin?

Earthquakes are caused by the release of tension that builds up at plate margins. They can be triggered at destructive, constructive and conservative boundaries. At destructive margins, tension builds up as ...
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Answered by Charlie W. • Geography tutor
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What is the difference between a polar molecule and a non-polar molecule? Can non-polar molecules be formed by polar atoms?

Polar molecules are those that have permanent dipoles. A permanent dipole occurs due to a difference in the electronegativity of the atoms involved in the bond. You might not be familiar with the term ´elect...
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Answered by Adrian G. • Chemistry tutor
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