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f(2x) = 1-6(2x) 

= 1-12x

a = 1

b = -12

What happened to my first possibility - it has disappeared :/

Here are other possibilities

Thank you so much, actually this is what I have to do,  

 I have to recalculate for the last one and half year my activity from work and are many working times that I have to correctly know ! For example I work 15 hours per day but 5 are driving, 2 are work, 2 are waiting and others break ! I have to do this hour by hour and is very complicated to do this with the pen and paper!

I will try with the solution you gave me ! 

You are welcome :)

I'll have a look and see if I can find something even better :)

$$\\0=1-6x\\
6x=1\\
x=1/6$$

This looks like it might be what you want 

Mmm

So you clock on at  8:23    and clock of at  6:18    and you want to know the easiest way to work out how many hours were worked.

Is that what you mean?

After me the clocking is when you work and your employer is paying you by the time you worked effectively !

Thank you, I have to recalculate for the last one and half year my activity from work and are many working times that I have to correctly know ! For example I work 15 hours per day but 5 are driving, 2 are work, 2 are waiting and others break !  I have to do this hour by hour and is very complicated to do this with the pen and paper! Thank you 

arrange the following 1/4 2/3 7/12 5/6 4/9

$$\\ \frac14 \cdot \frac99 = \frac9{36}\\\\
\frac23 \cdot \frac{12}{12} = \frac{24}{36}\\\\
\frac7{12} \cdot \frac33 = \frac{21}{36}\\\\
\frac56 \cdot \frac66 = \frac{30}{36}\\\\
\frac49 \cdot \frac44 = \frac{16}{36}\\\\
\rm{~~so~we~have~~}
\frac14 ~~
\frac49 ~~
\frac7{12} ~~
\frac23 ~~
\frac56$$

What is a clocking?

First you could split them into 2 groups 

Less than a half   AND   bigger than a half

Just say the fraction was $$\frac{6}{11}$$     what is half of 11?   it is $$5\frac{1}{2}$$      6 is bigger than  $$5\frac{1}{2}$$    SO    $$\frac{6}{11}$$ is MORE than a half.

Your turn, you split you 5 fractions into the 2 piles and then we can look at what to do next :)

Perhaps you can explain what you mean a little better :/

$$\\y^2 +yt-12t^2\\\\
=y^2+4yt-3yt-12t^2\\\\
=y(y+4t)-3t(y+4t)\\\\
=(y-3t)(y+4t)$$

Edited:  Thanks Heureka 

factor completely y^2 +yt-12t^2

$$\small{\text{$
\mathbf{
y^2 +yt-12t^2 = (y-3t)(y+4t)
}
$}}$$

1:4 =5:a       a = ?

$$\\
\small{\text{$
\begin{array}{rclcrcl}
1\cdot \frac{4}{1} &=& 4 &\rm{~~or~~}& 1\cdot \mathbf{4} &=& 4\\\\
&& &\rm{~~so~~}&5\cdot \mathbf{4} &=& a\\\\
&&&&\textcolor[rgb]{1,0,0}{a}&\textcolor[rgb]{1,0,0}{=}& \textcolor[rgb]{1,0,0}{20}
\end{array}
$}}$$

Thanks Miss Melody :)

Thanks Lance :)

And thanks Heureka 

Hi Eloise,

For starters you have too many equal signs.  I'll get rid of the excess ones.

1:4 =5:a

1/4=5/a

1/4=5/20       At this point you have the answer, a=20

Lets look at another way to do this :)

$$\\\frac{1}{4}=\frac{5}{a}\\\\
$Multiply both sides by $\frac{a}{1}\;\;$this is to get a off the bottom$\\\\
\frac{1}{4}\times \frac{a}{1} =\frac{5}{a}\times \frac{a}{1}\\\\
$simplify$\\\\
\frac{a}{4} =5\\\\
$Multiply both sides by 4 to get a by itself$\\\\
\frac{a}{4}\times 4 =5\times 4\\\\
$Simplify$\\\\
a=20$$

I think because it ask you to relate 1:4 to 5:a then it should be in 5:20 or 5/20 form.

You can look up 2*2 on the calculator. It's the same as 2+2.

Divide both number by 5 and so on 

7-7+5-5=0

0+54/1=54

54*1/5=10.8

The square root of 4=2