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Nairaland Jamb Tutorial Centre {mathematics Thread} - Education (6) - Nairaland

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2016 NAIRALAND JAMB TUTORIAL {the Physics Thread } / Nairaland 2016 Jamb Tutorial Classroon [mathematics Thread] / Nairaland Jamb Tutorial Centre. {NJTC} (2) (3) (4)

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Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by VEVEDIHNO: 5:40pm On Jan 11, 2015
I need u guys to help me out.solving a simultaneous equation using matrices.

i cn wrk on d 2*2 matrix buh wen it cmes to 3*3 dere is trouble.

dis an example

4x-3y+2z=-7
6x+2y-3z=33
2x-4y-z=-3


pls wen solve show ur workings,if possible u cn take a picture of it on were u solved it n upload so i wil understand ur steps.

fanks in advance.
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by dejt4u(m): 5:57pm On Jan 11, 2015
VEVEDIHNO:
I need u guys to help me out.solving a simultaneous equation using matrices.

i cn wrk on d 2*2 matrix buh wen it cmes to 3*3 dere is trouble.

dis an example

4x-3y+2z=-7
6x+2y-3z=33
2x-4y-z=-3


pls wen solve show ur workings,if possible u cn take a picture of it on were u solved it n upload so i wil understand ur steps.

fanks in advance.
u cn easily use crammer's method to solve this if it is for UTME..
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by agentofchange1(m): 7:52pm On Jan 11, 2015
dejt4u:

u cn easily use crammer's method to solve this if it is for UTME..

nice job...boss.

its me. benbuks ...

#shalom.
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by dejt4u(m): 8:35pm On Jan 11, 2015
agentofchange1:


nice job...boss.

its me. benbuks ...

#shalom.
bros bros..longest tym..how u doing?? Happy new year!
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by VEVEDIHNO: 7:41am On Jan 13, 2015
dejt4u:

u cn easily use crammer's method to solve this if it is for UTME..
OK
I JUST NEED TO SEE UR WORKINGS
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by VEVEDIHNO: 4:15am On Jan 22, 2015
Plz dnt be annoyed am posting physics question on maths forum its because dey aiint active dere plz help me out my Guruz


A alloy of mass 588g and a volume 100cm^3 is made of density 8.0g/cm^3 and alluminium of density 2.7g/cm^3.
Calculate the proportion;

(i)By Volume
(ii)By Mass of the constituents of the alloy.

Fankz in advance.
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by lisimmo(m): 7:02am On Jan 22, 2015
Jamb examination is already here

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Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by raayah(f): 10:41pm On Jan 25, 2015
VEVEDIHNO:
Plz dnt be annoyed am posting physics question on maths forum its because dey aiint active dere plz help me out my Guruz


A alloy of mass 588g and a volume 100cm^3 is made of density 8.0g/cm^3 and alluminium of density 2.7g/cm^3.
Calculate the proportion;

(i)By Volume
(ii)By Mass of the constituents of the alloy.

Fankz in advance.

I know my method might be long, but I do it so you can understand how i got there.

This is a long question but let's go!! You didnt specify the first metal used in the alloy, so let's just call it Metal
And also lets remember that Mass= Density * Volume

Let Volume of Metal be Equal to A

Therefore mass of Metal will be equal to 8.0g/cm^3 * A

Volume of Aluminium will be equal to 100cm^3 - A (the symbol - indicates minus)

Therefore the mass of Aluminium will be 2.7g/cm^3*(100cm^3-A).

We know the mass of both metals and we know the total mass. We use this to form an equation

Total mass= Mass of Metal+ Mass of Aluminium

588g = 8.0*A + 2.7*(100-A) ---- I removed the units to make it clearer

588 =8A+270-2.7A.

588-270=8A-2.7A

318 =5.3A

A=318/5.3=60

Solving for A will give A=60 cm^3 (Remember A is the volume of Metal)

Volume of Aluminium is 100cm^3-60cm^3 =40cm^3

Mass of Metal is= 8.0 * 60 = 480grams

Mass of Aluminium is = 588-480 = 108 grams
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Nobody: 10:12am On Jan 26, 2015
VEVEDIHNO:
I need u guys to help me out.solving a simultaneous equation using matrices.

i cn wrk on d 2*2 matrix buh wen it cmes to 3*3 dere is trouble.

dis an example

4x-3y+2z=-7
6x+2y-3z=33
2x-4y-z=-3


pls wen solve show ur workings,if possible u cn take a picture of it on were u solved it n upload so i wil understand ur steps.

fanks in advance.

I hope this helps

2 Likes 1 Share

Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Adiwana: 11:19am On Feb 19, 2015
goofyone:


I hope this helps
Goofy pls am having a Lil problem.i hve followed your step in solving some problems faster and it has helped me a lot but am having a lil problem in sub.1 in factorisation.for eg
1)factorise: a2-b2+ap-bq+bp+aq
Ans=(a+b)(a-b+p-q)
if i sub. a=1,b=1,p=1,q=1,i get
1-1+1-1+1+1=2....but sub it in the ans (1+1)(1-1+1-1)=0 and nt 2..pls help me
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by andrenz: 7:21pm On Feb 19, 2015
plz some should help me solve 1. x^2 + x^1/4 = 20
2. solve 9^2x+1= 8^x-2 /3x
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Nobody: 7:53pm On Feb 19, 2015
Adiwana:

Goofy pls am having a Lil problem.i hve followed your step in solving some problems faster and it has helped me a lot but am having a lil problem in sub.1 in factorisation.for eg
1)factorise: a2-b2+ap-bq+bp+aq
Ans=(a+b)(a-b+p-q)
if i sub. a=1,b=1,p=1,q=1,i get
1-1+1-1+1+1=2....but sub it in the ans (1+1)(1-1+1-1)=0 and nt 2..pls help me

If you look at the answer, you'll see it suggests that you should have the term -aq and not +aq.
(a+b)(a-b+p-q) = a(a-b+p-q) +b(a-b+p-q)
a x -q among the terms will give you -aq.

Using that will make the question 1-1+1-1+1-1=0
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Adiwana: 12:32am On Feb 20, 2015
[quote author=goofyone post=30891573]
thanks man..been using this ya method even in factorising polymas.
Pls see another
x2(x2-1)^1/2 - (x2-1)^1/2
a)(x2-1)^1/2
b)(x2-1)
c)(x2-1)^-1
d)(x2-1)^-1/2.


1-(a-b)2
a) (1-a-b)(1-a+b)
b) (1-a+b)(1+a-b)
c) (1-a+b)(1-a+b)
d) (1-a-b)(1+a-b)
Thanks
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Adiwana: 12:46am On Feb 20, 2015
goofyone:


If you look at the answer, you'll see it suggests that you should have the term -aq and not +aq.
(a+b)(a-b+p-q) = a(a-b+p-q) +b(a-b+p-q)
a x -q among the terms will give you -aq.

Using that will make the question 1-1+1-1+1-1=0
thanks man..been using this ya method even in factorising polymas.
Pls see another
x2(x2-1)^1/2 - (x2-1)^1/2
a)(x2-1)^1/2
b)(x2-1)
c)(x2-1)^-1
d)(x2-1)^-1/2.


1-(a-b)2
a) (1-a-b)(1-a+b)
b) (1-a+b)(1+a-b)
c) (1-a+b)(1-a+b)
d) (1-a-b)(1+a-b)
Thanks
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Adiwana: 12:52am On Feb 20, 2015
@goofy,you go talk say i dey disturb you..but pls i need full explanation on that subtution method cos at times wen i subt. I get same answers in the option..for eg from the question,the ans may be 1 and i get 1 in two places.using this method will save me a lot of troubles of factorisation...thanx Big time
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Nobody: 4:47am On Feb 20, 2015
Adiwana:
@goofy,you go talk say i dey disturb you..but pls i need full explanation on that subtution method cos at times wen i subt. I get same answers in the option..for eg from the question,the ans may be 1 and i get 1 in two places.using this method will save me a lot of troubles of factorisation...thanx Big time
It's possible to get that kind of result. If you get 1 in two places or three places, then you should eliminate those that didn't give 1 as answer. Let's say you have four options and are able to eliminate two options out of four. You left with two more. Then you can test something more exclusive on these two. Say -1. If -1 still gives similar results, then move up to 2. Or -2. Just a number simple enough to manipulate. You get it?
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Adiwana: 8:14am On Feb 20, 2015
goofyone:

It's possible to get that kind of result. If you get 1 in two places or three places, then you should eliminate those that didn't give 1 as answer. Let's say you have four options and are able to eliminate two options out of four. You left with two more. Then you can test something more exclusive on these two. Say -1. If -1 still gives similar results, then move up to 2. Or -2. Just a number simple enough to manipulate. You get it?
sure sir..you no sabi you don help save me a lot stress and time esp in simultaneous equation.i now solve it faster...thanx very much
still waiting for soln of those qquestions
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Nobody: 1:48pm On Feb 21, 2015
Adiwana:

sure sir..you no sabi you don help save me a lot stress and time esp in simultaneous equation.i now solve it faster...thanx very much
still waiting for soln of those qquestions
You always welcome

1 Like

Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Nobody: 2:25pm On Feb 21, 2015
Adiwana:


1-(a-b)2
a) (1-a-b)(1-a+b)
b) (1-a+b)(1+a-b)
c) (1-a+b)(1-a+b)
d) (1-a-b)(1+a-b)
Thanks

Let's look at this first:
Make a=1 and b =1
First the question: 1-(1-1)2 = 1-0=1
Option a: (1-1-1)(1-1+1)=-1 x 1 = -1
Option b: (1-1+1)(1+1-1)=1 x 1 = 1
Option c: (1-1+1)(1-1+1)=1 x 1 = 1
Option d: (1-1-1)(1+1-1)= -1 x 1 = -1

So you have between option b and option c to decide. At this moment you want to immediately determine your answer. Though the next step should be to substitute -1 (which I'll do), but another thing you could immediately do is to look at the question and look for something you can quickly use to eliminate b or c as an answer.

Look at the b2 in the question and determine what it should look like in the answer. In the question, if you simplify (which you SHOULDN'T do), you'll find that the b2 term is going to end up as -b2 for the simple reason that expanding (a-b)2 will give b2 and multiplying by the negative outside the bracket will give -b2. You can do this without simplifying. In which case, if you look at option b and c, you'll see that only option b can end up with a -b2 term and that makes it the answer. You get it?

But if you want to go the route of substituting -1, then attend to just option b and c.

Option b: (1+1-1)(1-1+1) = 1
Option c: (1-1+1)(1-1+1) = 1

Hmm... not working.
If you still haven't figured the answer, then you should vary the constants. Make a=1 and b=2

Option b: (1-1+2)(1+1-2)=2x0=0
Option c: (1-1+2)(1-1+2)=2x2=4

Then into the question: 1-(1-2)2 = 1-1=0

So, b is indeed our answer. But you really wanna be very quick with this substitutions. In that respect, practice makes perfect.

I think you should try the upper question yourself and let's see your hand.

1 Like

Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Adiwana: 4:37pm On Feb 21, 2015
goofyone:


Let's look at this first:
Make a=1 and b =1
First the question: 1-(1-1)2 = 1-0=1
Option a: (1-1-1)(1-1+1)=-1 x 1 = -1
Option b: (1-1+1)(1+1-1)=1 x 1 = 1
Option c: (1-1+1)(1-1+1)=1 x 1 = 1
Option d: (1-1-1)(1+1-1)= -1 x 1 = -1

So you have between option b and option c to decide. At this moment you want to immediately determine your answer. Though the next step should be to substitute -1 (which I'll do), but another thing you could immediately do is to look at the question and look for something you can quickly use to eliminate b or c as an answer.

Look at the b2 in the question and determine what it should look like in the answer. In the question, if you simplify (which you SHOULDN'T do), you'll find that the b2 term is going to end up as -b2 for the simple reason that expanding (a-b)2 will give b2 and multiplying by the negative outside the bracket will give -b2. You can do this without simplifying. In which case, if you look at option b and c, you'll see that only option b can end up with a -b2 term and that makes it the answer. You get it?

But if you want to go the route of substituting -1, then attend to just option b and c.

Option b: (1+1-1)(1-1+1) = 1
Option c: (1-1+1)(1-1+1) = 1

Hmm... not working.
If you still haven't figured the answer, then you should vary the constants. Make a=1 and b=2

Option b: (1-1+2)(1+1-2)=2x0=0
Option c: (1-1+2)(1-1+2)=2x2=4

Then into the question: 1-(1-2)2 = 1-1=0

So, b is indeed our answer. But you really wanna be very quick with this substitutions. In that respect, practice makes perfect.

I think you should try the upper question yourself and let's see your hand.

ok.
x2(x2-1)^1/2 - (x2-1)^1/2
let x=0
0^2(0^2-1)^1/2 - (0^2-1)^1/2
=0-(-1)^1/2
=1^1/2
=1
a) (x2-1)1/2=(0-1)=-1^1/2
b) (x2-1)=(0-1)=-1
c) (x2-1)^-1=(0-1)^-1=-1^-1=1
d) (x2-1)-1/2=(0-1)^-1/2=-1^-1/2
=-1^1/2
so is it C?
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Emmanuelclean: 9:39am On Feb 26, 2015
*someone should help with this*.
a rectangular plot measures 12m by 5m,a path of constant width run along one side and one end. if the total area of the plot and the path is 120msq.find the width of the path.
(hint:let the width of the path be xm)
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by cee001(m): 10:32am On Mar 18, 2015
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by Nobody: 5:28am On Mar 22, 2015
Emmanuelclean:
*someone should help with this*.
a rectangular plot measures 12m by 5m,a path of constant width run along one side and one end. if the total area of the plot and the path is 120msq.find the width of the path.
(hint:let the width of the path be xm)
(12+x)(5+x)=120
x^2 + 17x + 60-120=0
x^2 + 17x - 60=0
x=(-17+/-sqrt(17^2 - 4*1*-60))/(2*1)
x=(-17+/-23)/2
x = (-17+23)/2=6/2=3 or (-17-23)/2=-20

x looking more likely to be 3, as it wouldn't necessarily be negative.

If you test your answer you have 15*8=120msq
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by bolaji3071(m): 9:42pm On Mar 22, 2015
goofyone:

(12+x)(5+x)=120
x^2 + 17x + 60-120=0
x^2 + 17x - 60=0
x=(-17+/-sqrt(17^2 - 4*1*-60))/(2*1)
x=(-17+/-23)/2
x = (-17+23)/2=6/2=3 or (-17-23)/2=-20

x looking more likely to be 3, as it wouldn't necessarily be negative.

If you test your answer you have 15*8=120msq

brother could you please be helping me in Maths
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by nelsoelomi(f): 12:01pm On May 09, 2015
so
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by dejt4u(m): 4:41pm On May 09, 2015
nelsoelomi:
somebody pls help me with this equation.
1.Add 256 base 7 and 443 base 7

2.Subtract 311 base 5 and 1240 base 5

3.if 34n = 10011 base 2 find n

4. 14*25 = 374, find the number base used.


Thank in advance.

1.Add 256 base 7 and 443 base 7
532 base 7
!Convert 256 and 443 to base 10 and do the addition..convert your final answer back to base 7

2.Subtract 311 base 5 and 1240 base 5
424 base 5
!Convert 311 and 1240 to base 10 and do the subtraction..convert your final answer back to base 5

3.if 34n = 10011 base 2 find n
n = 3
!converting both sides to base 10, it will give you; 3n + 4 = 19, n = 3

4. 14*25 = 374, find the number base used.
base 8

cheers!
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by rhydex247(m): 5:24pm On Aug 14, 2016
nelsoelomi:
somebody pls help me with this equation.

3.if 34n = 10011 base 2 find n


Thank in advance.

solution. convert the both sides to base 10. we have 3n+4=19 3n=19-4 3n=15 divide all through by 3 n=5
Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by dejt4u(m): 9:29pm On Jan 03, 2017
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Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by trino: 9:11am On Jan 04, 2017
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Re: Nairaland Jamb Tutorial Centre {mathematics Thread} by trino: 12:40am On Jan 06, 2017
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