Melody

Thanks jfan17, 

I would do it the same way but I rarely bother with any but the most basic formulas

I just think of it like this.

There are 50 votes. (the stars)

We need to divide them into 4 groups which will need 3 bars .

   The first candidate will get all the votes in front of the first bar.

   The second candidate gets all the votes between the 1'st and the 2'nd bar.

   The third candidate gets all the votes between the 2'st and the 3'nd bar.

    The fourth candidate gets all the votes after the 3rd bar.

So there are 53 things. 50 votes and 3 bars.

All we need to do ist to work out how many different combinations are possible for where to put the divider bars

So it  will be 53C3      ( which is exactly the same as   53C50 )

Hi all (on this thread)

I have just unflagged all jfan17 's posts. So you can see them all properly now.     

Welcome to the forum by the way .

You will be a great asset here.   

If you have problems like this you can always message a moderator and they can fix it for you.

Just make sure you include the address.

Hi jfan,

I have just looked at your account and found 3 recent posts that are flagged.

I have unflag them.

I am not sure why this is happening to you.

I just took another look at your answers.  I think it is because you used the word 'balls' 

I will see if mine is flagged when I try to post it.

I know it is silly but the flag looks for certain words, that is how it works.

balls balls balls

Addition:

No mine was not blocked but maybe the rules are a bit different for a moderator. 

Even though you have edited it 4 times it is still not very legible.

Hi Roses, welcome to web2calc forum   

Where is the original question? Did you have any answers? You should have provided a link to it.

Thanks guest, you made a good start.  

4) Let f(x) = 1/x be the parent function. Let g(x) = (3x - 10)/(x - 4) be a transformation of f(x).

a)

\(f(x)=\frac{1}{x}\qquad g(x)=\frac{3x-10}{x-4}\\~\\ g(x)=\frac{3x-10}{x-4}\\ g(x)=\frac{3x-12+2}{x-4}\\ g(x)=\frac{3(x-4)+2}{x-4}\\ g(x)=3+\frac{2}{x-4}\\ \)

Now let's look at this transformation

\(y=\frac{1}{x}\\ \text{If I translate the graph right (positive x direction) by 4 units I get }\\ y=\frac{1}{x+4}\\~\\ \text{If then translate the graph up 3 units i get }\\ y-3=\frac{1}{x+4}\\ y=3+\frac{1}{x+4}\\\)

(b) Describe in words the transformations that take f(x) to g(x).

So to transform f(x) to g(x) I must translate every point 4 units to the right and 3 units up.

(c) If f(x) contains the points (-2, -½) and (1, 1), find the corresponding coordinates on g(x) using the transformation rules from part (b).

\((-2,-0.5)\rightarrow (-2+4,-0.5+3)=(2,2.5)\)

Here is the graph: