anonymous
  • anonymous
a/a+4=3-4 marian can weed a garden in 3 hrs. robinm can weed the same garden in 4 hrs. how longh will the weeding take them if they work together? 3/m-1=2m/m+4- solve this equation check solution if there is no solution put no solution Help Please!!
Mathematics
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anonymous
  • anonymous
a/a+4=3-4 marian can weed a garden in 3 hrs. robinm can weed the same garden in 4 hrs. how longh will the weeding take them if they work together? 3/m-1=2m/m+4- solve this equation check solution if there is no solution put no solution Help Please!!
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
a/a+4=3-4/a+4
anonymous
  • anonymous
|dw:1330229793561:dw|
anonymous
  • anonymous
would you move everything with an a on one side

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radar
  • radar
The weeding problem is solved by just taking the product divided by the sum (3 X 4)/7=12/7 hr or 1 5/7 hour.
radar
  • radar
Multiply all terms by (a+4) getting a = 3(a+4)-4 a = 3a +12 -4 -2a=8 a=-4
anonymous
  • anonymous
huh?? alll ternmss
radar
  • radar
To check (-4)/(-4+4) can't go any further as division by 0 is not permitted. Let me check my work. Are you sure you have it copied correctly?
radar
  • radar
The equation is not valid as denominator results in 0
anonymous
  • anonymous
yes i did
anonymous
  • anonymous
soo no solution
radar
  • radar
|dw:1328675059499:dw||dw:1328675072118:dw| The equation has 3 terms.
anonymous
  • anonymous
|dw:1330230347158:dw|
radar
  • radar
No solition.
anonymous
  • anonymous
i get it now next problem do we multiply by m?
radar
  • radar
dessyk, have you ever heard of cross multiplying? We could do that.
anonymous
  • anonymous
ohh yeaa
anonymous
  • anonymous
3m+12=2m^2-2m
radar
  • radar
3(m+4)=2m(m-1) 3m + 12 =2m^2 -2m Yes you got now consolidate and simplify \[2m ^{2}-5m-12=0\]
anonymous
  • anonymous
then the quadratic equation?
radar
  • radar
Factor getting (m-4)(2m+3) m=4 m=-3/2 those are the two solutions.
radar
  • radar
Yes it is a quadratic, but a easily factored one lol
anonymous
  • anonymous
i see it next problem
radar
  • radar
I will leave the proof up to you.
anonymous
  • anonymous
|dw:1330230943000:dw|
radar
  • radar
Is the last term d+6 over d^2-4?
anonymous
  • anonymous
yess
anonymous
  • anonymous
we would mulktiply by d
radar
  • radar
And are you sure that the denominator of the 2nd term is 2-d or is it d-2 ??
anonymous
  • anonymous
its 2-d
radar
  • radar
O.K First I am going to change the 2nd terms appearance, but not its value by multiplying it by -1 and again by-1 (which is 1) so the equation will now look like this:|dw:1328676105960:dw|
radar
  • radar
Note that (d^2-4) is (d+2)(d-2) Now multiply all terms by (d^2-4) getting \[d ^{2}-2d +2d+4 = d\]No tricks here everything legal lol
radar
  • radar
Simply: \[d ^{2}-2d+2d+4=d+6 \]ooops I made a mistake I dropped of that 6 so it is now.
radar
  • radar
\[d ^{2}-d-2=0\]can be factored (d-2)(d+1) d=2 d=-1 Proof left up to you.
radar
  • radar
|dw:1328676821005:dw|
anonymous
  • anonymous
two pipes fill a storage tank in 9 hrs. the larger pipe fills the tank 3 times as fast as the smaller one . How long would it take the larger pipe to fill the tank alone?
radar
  • radar
d=2 is not a valid solution as it would result in zero in the second term,so d=-1
anonymous
  • anonymous
so its one solution
radar
  • radar
Yes
radar
  • radar
Can not divide by 0.
anonymous
  • anonymous
next problem and last
anonymous
  • anonymous
two pipes fill a storage tank in 9 hrs. the larger pipe fills the tank 3 times as fast as the smaller one . How long would it take the larger pipe to fill the tank alone?
anonymous
  • anonymous
hello??
radar
  • radar
First you know the larger pipe will fill it quicker than the smaller one. let x time to fill with larger pipe then 3x is the time to fill with smaller pipe. Use product over sum to solve this type problem especially when you only have two things working. 3x * x =3x^2 3x + x =4x product over sum is:\[3x ^{2}\over4x\] and this equals 9 (given) solve by cross multiplying: 36x=3x^2 or \[3x ^{2}-36x=0\]factoring getting: 3x(x-12)=0 x=12 large pipe will fill it in 12 hours, small pipe will take 36 hours,together 9 hours.
radar
  • radar
Thats all for me tonight. Be sure and double check answers by proofing.
radar
  • radar
That way if I goofed you will be able to correct my mistake.
anonymous
  • anonymous
thnk u sooooo much youve really helped meee
radar
  • radar
ur welcome, I was just looking at that last one and it would be simpler to just reduce that 3x^2/4x to 3x/4 and set that to =9 3x/4 =9 getting 3x =36, x=12 (no quadratic that way lol)
radar
  • radar
Good night and good luck in your studies.
anonymous
  • anonymous
thnks

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