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Joined: Apr 2001
Posts: 135
CEG\'er
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OP
CEG\'er
Joined: Apr 2001
Posts: 135 |
Hoping you guys can help me out here, I have a math problem that I cannot figure out for the life of me! And I'm sure most of you guys will know it in a heartbeat...
"True or false? If true, give a justification (not just an example). If false, give a counterexample. Assume a, b, and c are natural numbers.
part 1) If "a" is a factor of "b" then GCF (a,b) = a
part 2) If GCF (a,b) = x and GCF (a,c) = x, then b = c "
Thanks if you guys can help out!
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Joined: May 2000
Posts: 21,197
I have no life
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I have no life
Joined: May 2000
Posts: 21,197 |
What is CEG the new math tutorial all of a sudden?
-'96 SE MTX 3L
-'98 SVT 1,173 of 6,535
-'05 Mazda 6s, loaded, g/f's ride
-Need a 96-00 manual on CD? PM or email me
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Joined: Aug 2001
Posts: 5,810
Hard-core CEG'er
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Hard-core CEG'er
Joined: Aug 2001
Posts: 5,810 |
Originally posted by SVTour98:
Hoping you guys can help me out here, I have a math problem that I cannot figure out for the life of me! And I'm sure most of you guys will know it in a heartbeat...
"True or false? If true, give a justification (not just an example). If false, give a counterexample. Assume a, b, and c are natural numbers.
part 1) If "a" is a factor of "b" then GCF (a,b) = a
part 2) If GCF (a,b) = x and GCF (a,c) = x, then b = c "
Thanks if you guys can help out!
1.) false
If you look at #1, you can see that the greatest common factor is not necessarily "a". "a" could be any factor and there could still be a greater common factor.
2.) true
Since "a" is equal in both equatios and X is a GCF for both, then the only way that can happne is if b=c.
You can set up a couple of examples I think to prove it.
Former owner of '99 CSVT - Silver #222/2760
356/334 wHP/TQ at 10psi on pump gas!
See My Mods
'05 Volvo S40 Turbo 5 AWD with 6spd, Passion Red
'06 Mazda5 Touring, 5spd,MTX, Black
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Joined: Mar 2004
Posts: 4,141
Hard-core CEG\'er
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Hard-core CEG\'er
Joined: Mar 2004
Posts: 4,141 |
99 SE V6\5spd - 156 HP\157 TQ 15.166-90.84
Totaled 02/12/06
99 SVT # 1571 - 175 HP\153 TQ 14.999-91.88
Born 3/24/99 Reborn 3/18/06
Pietenpol Racing Technologies project vehicle
90 Festiva L 5spd, Blue(not for long), 103k
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Joined: Mar 2002
Posts: 1,573
Hard-core CEG'er
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Hard-core CEG'er
Joined: Mar 2002
Posts: 1,573 |
Originally posted by SVTour98:
Hoping you guys can help me out here, I have a math problem that I cannot figure out for the life of me! And I'm sure most of you guys will know it in a heartbeat...
"True or false? If true, give a justification (not just an example). If false, give a counterexample. Assume a, b, and c are natural numbers.
part 1) If "a" is a factor of "b" then GCF (a,b) = a
true
this one's not too bad if you think about it. think about exactly what you're saying when you say GCF - "greatest factor." how can "a" have a factor thats bigger than itself?
Quote:
part 2) If GCF (a,b) = x and GCF (a,c) = x, then b = c "
false
a = 12
b = 9
c = 3
Last edited by Eli; 11/30/05 03:38 PM.
now officially a troll, i guess. used to have a black 96 SE, until it broke down one too many times.
now I'm hunting for a motorycle.
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Joined: Aug 2001
Posts: 5,810
Hard-core CEG'er
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Hard-core CEG'er
Joined: Aug 2001
Posts: 5,810 |
Originally posted by Eli:
Originally posted by SVTour98:
Hoping you guys can help me out here, I have a math problem that I cannot figure out for the life of me! And I'm sure most of you guys will know it in a heartbeat...
"True or false? If true, give a justification (not just an example). If false, give a counterexample. Assume a, b, and c are natural numbers.
part 1) If "a" is a factor of "b" then GCF (a,b) = a
true
this one's not too bad if you think about it. think about exactly what you're saying when you say GCF - "greatest factor." how can "a" have a factor thats bigger than itself?
Quote:
part 2) If GCF (a,b) = x and GCF (a,c) = x, then b = c "
false
a = 12
b = 9
c = 3
whoa, I didn't read either of those right! I looked at #1 and I didn't see the part that a was a factor of b 
#1 true
For #2:
What if a=6, b=3, c=3
Then b=x=c
It makes the two exactly the same equation, which doesn't seem right. It looks like they intend it to be two different equations, but the only time number two is true is if b=c. Maybe they're just trying to trick the student or make you think
So I guess they are both true in this case?
Former owner of '99 CSVT - Silver #222/2760
356/334 wHP/TQ at 10psi on pump gas!
See My Mods
'05 Volvo S40 Turbo 5 AWD with 6spd, Passion Red
'06 Mazda5 Touring, 5spd,MTX, Black
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Joined: Apr 2001
Posts: 135
CEG\'er
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OP
CEG\'er
Joined: Apr 2001
Posts: 135 |
your explanations all make great sense! i don't know why i couldn't think of that. my mind just doesn't work that way sometimes, lol. thanks guys for helping me out!
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Joined: May 2005
Posts: 584
Veteran CEG\'er
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Veteran CEG\'er
Joined: May 2005
Posts: 584 |
Originally posted by Eli:
Originally posted by SVTour98:
Hoping you guys can help me out here, I have a math problem that I cannot figure out for the life of me! And I'm sure most of you guys will know it in a heartbeat...
"True or false? If true, give a justification (not just an example). If false, give a counterexample. Assume a, b, and c are natural numbers.
part 1) If "a" is a factor of "b" then GCF (a,b) = a
true
this one's not too bad if you think about it. think about exactly what you're saying when you say GCF - "greatest factor." how can "a" have a factor thats bigger than itself?
Quote:
part 2) If GCF (a,b) = x and GCF (a,c) = x, then b = c "
false
a = 12
b = 9
c = 3
That's right, 1 is true and 2 is false. For 2, consider any three numbers a, b, and c that have a greatest common factor x. That does not imply that any of a, b, or c are the same number, although they could be. For example, 10, 15, and 25.
E0 Silver Frost CSVT #3095/6535
Alpine CDA-9851
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