some questions that need to be done.

Maths and statistics discussion, revision, exam and homework help.

Announcements Posted on
Enter our travel-writing competition for the chance to win a Nikon 1 J3 camera 20-05-2013
IMPORTANT: You must wait until midnight (morning exams)/4.30AM (afternoon exams) to discuss Edexcel exams and until 1pm/6pm the following day for STEP and IB exams. Please read before posting, including for rules for practical and oral exams. 28-04-2013
Sign in to Reply
  1. non's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,621
    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.
  2. usycool1's Avatar
    • Section Moderator
    • Location: Kent
    • Posts: 6,546
    Re: some questions that need to be done by tomorow.
    (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.
    I can't understand what you have to rearrange in question 1

    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.
  3. non's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,621
    Re: some questions that need to be done by tomorow.
    (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
    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.
  4. usycool1's Avatar
    • Section Moderator
    • Location: Kent
    • Posts: 6,546
    Re: some questions that need to be done.
    (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.
    For question 1, do you have to rearrange this:

    S=2 \pi d \sqrt{h^2+d^2}

    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.
  5. non's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,621
    Re: some questions that need to be done.
    (Original post by usycool1)
    For question 1, do you have to rearrange this:

    S=2 \pi d \sqrt{h^2+d^2}

    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
    yes that is what i have to rearange. i don't really understand both questions 2 and 3.
  6. usycool1's Avatar
    • Section Moderator
    • Location: Kent
    • Posts: 6,546
    Re: some questions that need to be done.
    (Original post by non)
    yes that is what i have to rearange. i don't really understand both questions 2 and 3.
    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.
  7. non's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,621
    Re: some questions that need to be done.
    (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.
    so i'm not sure how to start it i thought that you should multiply 7 by x-1.
  8. non's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,621
    Re: some questions that need to be done.
    bump
  9. usycool1's Avatar
    • Section Moderator
    • Location: Kent
    • Posts: 6,546
    Re: some questions that need to be done.
    (Original post by non)
    so i'm not sure how to start it i thought that you should multiply 7 by x-1.
    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: \dfrac{7}{3} \times 3. To get the answer 7, we would cancel the 3's, right?

    The same applies here:

    \dfrac{7}{x+2} \times(x+2)(x-1) would cause the (x+2)'s to cancel, leaving us with 7 \times (x-1).

    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.

    Spoiler:
    Show


    Multiply everything by (x+2)(x-1):

    \dfrac{7}{x+2} \times(x+2)(x-1) + \dfrac{1}{x-1} \times(x+2)(x-1) =4(x+2)(x-1)

    Cancel the common terms:

    7(x-1)+1(x+2)=4(x+2)(x-1)

    Now expand the brackets
  10. non's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,621
    Re: some questions that need to be done.
    (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: \dfrac{7}{3} \times 3. To get the answer 7, we would cancel the 3's, right?

    The same applies here:

    \dfrac{7}{x+2} \times(x+2)(x-1) would cause the (x+2)'s to cancel, leaving us with 7 \times (x-1).

    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.

    Spoiler:
    Show


    Multiply everything by (x+2)(x-1):

    \dfrac{7}{x+2} \times(x+2)(x-1) + \dfrac{1}{x-1} \times(x+2)(x-1) =4(x+2)(x-1)

    Cancel the common terms:

    7(x-1)+1(x+2)=4(x+2)(x-1)

    Now expand the brackets
    4x^2=4x-8

    thank you but what should i do next?
  11. usycool1's Avatar
    • Section Moderator
    • Location: Kent
    • Posts: 6,546
    Re: some questions that need to be done.
    (Original post by non)
    4x^2=4x-8

    thank you but what should i do next?
    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
  12. non's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,621
    Re: some questions that need to be done.
    (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
    what?? the answer is 8=4?
Sign in to Reply
Share this discussion:  
Article updates
Moderators

We have a brilliant team of more than 60 volunteers looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Reputation gems:
The Reputation gems seen here indicate how well reputed the user is, red gem indicate negative reputation and green indicates a good rep.
Post rating score:
These scores show if a post has been positively or negatively rated by our members.