some questions that need to be done.
Maths and statistics discussion, revision, exam and homework help.
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some questions that need to be done.
Q1. rearange S=2pidsqrthh^2+d^2 i need to make h the subject.
so far i've got s^2=(2pid)^2 (h^2+d^2)
i'm not sure if i'm doing it correctly.
Q2. solve the equation
7/x+2 + 1/x-1 = 4
so far i've got
7x-7 = 4x^2+4x-8 then 4x2-3x-1=0
factorised it
-3+or-(sqrt3^2-4x4x-1)/8
i got x = 0.25 or -1 which i think is wrong.
Q3. bag contains 6 red disks, 4 blue disks and 5 green disks.
A fair dice has 4 red faces and 2 blue faces.
a disk is taken at random from bag and the colour is recorded.
then dice is thrown twice and each time colour of face it lands on is recorded.
work out probability that, of the three colours that are recorded, exactly 2 are the same.Last edited by non; 19-06-2012 at 22:32. -
Re: some questions that need to be done by tomorow.I can't understand what you have to rearrange in question 1(Original post by non)
Q1. rearange S=2pidsqrthh^2+d^2
so far i've got s^2=(2pid)^2 (h^2+d^2)
i'm not sure if i'm doing it correctly.
Q2. solve the equation
7/x+2 + 1/x-1 = 4
so far i've got
7x-7 = 4x^2+4x-8
factorised it
-4+or-(sqrt4^2-4x4x-8)/8
i got x = 1 or -2 which i think is wrong.
Q3. bag contains 6 red disks, 4 blue disks and 5 green disks.
A fair dice has 4 red faces and 2 blue faces.
a disk is taken at random from bag and the colour is recorded.
then dice is thrown twice and each time colour of face it lands on is recorded.
work out probability that, of the three colours that are recorded, exactly 2 are the same.
For question 2, you haven't got the right answer
Firstly, you got the LHS wrong (7x-7). After correcting that,you need to rearrange the equation to get 0 on one side before you use the quadratic formula or factorise. Oh, and you said that you factorised 4x^2+4x-8 it but you actually used the quadratic formula.
I need to go away for a bit now but if I come back before anyone else answers, I'll look at question 3
Last edited by usycool1; 20-06-2012 at 09:29. -
Re: some questions that need to be done by tomorow.thanks i did what you said and made it = 0 then factorised it but now i've got x=-1 or 0.25 which i don't think is correct.(Original post by usycool1)
I can't understand what you have to rearrange in question 1
For question 2, you haven't got the right answer
You need to rearrange the equation to get 0 on one side before you use the quadratic formula or factorise. Oh, and you said that you factorised 4x^2+4x-8 it but you actually used the quadratic formula.
I need to go away for a bit now but if I come back before anyone else answers, I'll look at question 3
for q1 i need to facvtorsie to make h the subject. -
Re: some questions that need to be done.For question 1, do you have to rearrange this:(Original post by non)
thanks i did what you said and made it = 0 then factorised it but now i've got x=-1 or 0.25 which i don't think is correct.
for q1 i need to facvtorsie to make h the subject.

Or something else?
EDIT: For question 2, you have got the left hand side wrong (7x-7) initially. That's where you made the mistake, maybe if you post your working I can see where you've gone wrong
Last edited by usycool1; 19-06-2012 at 23:03. -
Re: some questions that need to be done.yes that is what i have to rearange. i don't really understand both questions 2 and 3.(Original post by usycool1)
For question 1, do you have to rearrange this:

Or something else?
EDIT: For question 2, you have got the left hand side wrong (7x-7) initially. That's where you made the mistake, maybe if you post your working I can see where you've gone wrong
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Re: some questions that need to be done.OK, lets do each question one at a time. For question 2, I posted an example here. Have a look at it and then see if that helps you to answer question 2. If any step confuses you, ask me and I'll explain it in more detail.(Original post by non)
yes that is what i have to rearange. i don't really understand both questions 2 and 3. -
Re: some questions that need to be done.so i'm not sure how to start it i thought that you should multiply 7 by x-1.(Original post by usycool1)
OK, lets do each question one at a time. For question 2, I posted an example here. Have a look at it and then see if that helps you to answer question 2. If any step confuses you, ask me and I'll explain it in more detail. -
Re: some questions that need to be done.You have to multiply everything by a common denominator. The common denominator in this case would be (x+2)(x-1).(Original post by non)
so i'm not sure how to start it i thought that you should multiply 7 by x-1.
So you multiply everything by (x+2)(x-1).
Imagine if we had the question:
. To get the answer 7, we would cancel the 3's, right?
The same applies here:
would cause the (x+2)'s to cancel, leaving us with
.
So in essence, we are multiplying the 7 by (x-1) but it's important to realise that you're actually multiplying everything by (x+2)(x-1).
See the spoiler if you're confused.
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Re: some questions that need to be done.4x^2=4x-8(Original post by usycool1)
You have to multiply everything by a common denominator. The common denominator in this case would be (x+2)(x-1).
So you multiply everything by (x+2)(x-1).
Imagine if we had the question:
. To get the answer 7, we would cancel the 3's, right?
The same applies here:
would cause the (x+2)'s to cancel, leaving us with
.
So in essence, we are multiplying the 7 by (x-1) but it's important to realise that you're actually multiplying everything by (x+2)(x-1).
See the spoiler if you're confused.
thank you but what should i do next? -
Re: some questions that need to be done.what?? the answer is 8=4?(Original post by usycool1)
Good, but you have to expand all the brackets. After doing that, rearrange the equation to get 0 on one side. See my example under where it says "Simplify it" and "Rearrange the equation to get 0 on one side" if you're unsure what you're supposed to do

Firstly, you got the LHS wrong (7x-7). After correcting that,you need to rearrange the equation to get 0 on one side before you use the quadratic formula or factorise. Oh, and you said that you factorised 4x^2+4x-8 it but you actually used the quadratic formula.