Melody

I am looking for relevant sites/ calculators.  I don't think the web2 calc does this.

It was not me and I know for a fact that it would not have been CPhill.

Hence, it was not the 'mods'

This has happened before.  Sometimes one or more of the members who do not muck around like this get annoyed by how many points your 'play' attracts.

I am just explaining - I like seeing you 'play' on the forum    

Thanks Alan :)

So if you are finding them all by hand it its going to be quite time consuming?

I knew there were supposed to be 12 answers but how can you prove that there aren't more?

$$\\(5x)(2x^2+x) \\
5x(2x^2+x) \\
5x\times 2x^2\;\;+\;\;5x\times x \\
10x^3\;\;+\;\;5x^2 \\$$

You can also do it on the web2 calc (it is on the Home page)

Mod(3^46,8)

$$\left({{\mathtt{3}}}^{{\mathtt{46}}}\right) {Mod} \left({\mathtt{8}}\right) = {\mathtt{1}}$$

$$-3x+5.6\le 6x-2.4$$

Treat it exactly the same as is it had an equal sign

EXCEPT

If you multiply ot divide by a NEG number then swap the sign around

If you swap sides turn the inequality sign around

$$\\(6\times cd^{-1})^{-3}\\\\
=(\frac{6\times cd^{-1}}{1})^{-3}\\\\
=(\frac{6\times c}{d})^{-3}\\\\
=(\frac{d}{6\times c})^{+3}\\\\
=\frac{d^3}{216\;c^3}\\\\$$

There is a difference between modulus and remainder. For example:

-21 mod 4 is 3 because -21 + 4 x 6 is 3.

But -21 divided by 4 gives -5 with a remainder of -1.

For positive values, there is no difference.

An excellent answer hamilton.  Thank you.  

jLara, what does frequency mean?  It is the height of the columns but what does it mean?

Also what does the first column mean? The one that goes from 5 to 10 and up to 1?

Now, you are asking alot of questions.  This is fine but we want you to learn from our answers.

If we just tell you exactly what the answer is then there is no evidence that you have learned anything and we get disheartened.