Melody

Hi Metallica22   :)

How to simplify (-1+ sqrt 5)/(4) divided by 2

\(\frac{ (-1+ \sqrt 5)}{4} \div 2\\ =\frac{ (-1+ \sqrt 5)}{4} \times \frac{1}{ 2}\\ =\frac{ -1+ \sqrt 5}{8} \\ or\\ =\frac{ \sqrt 5-1}{8} \\\)

Sorry HSC I have no idea.  This is probably one for Heuraka or Alan ....

I just watch a Khan Academy  youtube clip on homogenous equations but it didn't help with your question :(

7x-3>6x-6

\(\begin{align}\\7x-3&>6x-6\\ 7x-3+3&>6x-6+3\\ 7x&>6x-3\\ 7x-6x&>6x-3-6x\\ x&>-3\\ \end{align}\)

1000(3) ^t/4 . ¼ In 3

\(\frac{1000.(3) ^t}{4} \times \frac{1}{4}ln 3\\ =\frac{1000\times ln3\times (3) ^t}{16} \)

Ok, what about it - there is no question. :/

Hi Vest4R

I thought you would give me some feed back for my last answer.

Also

although you sould know that  

sin 30 degrees = 1/2

you can also just do it on a calc

asin 0.5 =

or

\(sin^{-1}(0.5)=\)

4i/2=2i      TRUE

e^x>3

\(e^x>3\\ ln(e^x)>ln3\\ xln(e)>ln3\\ x>ln3\\\)

Here is the graph

lnx<0

\(lnx<0\\ e^{lnx}<e^0\\ x<1\)

BUT x cannot be less than or equal to 0 so

\(0<x<1\)

Here is the graph to show that this is correct

Hi GerardWay

Yes, Heureka and Alan are VERY impressive !!         

Well maybe but I am not too sure because he was pretty square.