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Re: O-Level Additional Math
Posted: Thu Apr 28, 2016 3:58 pm
by S-H
Hi I can't find where to put this question, this is a sec 2 maths question, can someone kindly help me with this, thank you!
(a) Solve the following inequality:-
4x - 3
------- < 5x + 2
7
(b) Write down the smallest integer that satisfies this inequality
Re: O-Level Additional Math
Posted: Thu Apr 28, 2016 5:03 pm
by EconsPhDTutor
S-H wrote:Hi I can't find where to put this question, this is a sec 2 maths question, can someone kindly help me with this, thank you!
(a) Solve the following inequality:-
4x - 3
------- < 5x + 2
7
(b) Write down the smallest integer that satisfies this inequality
(4x - 3) ÷ 7 < 5x + 2
⇔ 4x - 3 < 35x + 14
⇔ - 17 < 31x
⇔ - 17 ÷ 31 < x
The solution is x > -17/31.
The smallest integer that satisfies this inequality is 0.
Hope this helps and feel free to ask for any clarifications.
- Dr. Choo Yan Min
www.EconsPhDTutor.com
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Re: O-Level Additional Math
Posted: Thu Apr 28, 2016 6:24 pm
by S-H
Re: O-Level Additional Math
Posted: Wed May 04, 2016 7:39 pm
by questionable_i
Can anyone help me with this question?
Evaluate 2^x/2^4=2^1/2^(2y-2)
Thank you in advance. I need the answer ASAP.
Re: O-Level Additional Math
Posted: Wed May 04, 2016 10:36 pm
by kennethTutor
questionable_i wrote:Can anyone help me with this question?
Evaluate 2^x/2^4=2^1/2^(2y-2)
Thank you in advance. I need the answer ASAP.
Applying a^m / a^n = a^(m - n),
2^x/2^4 = 2^1/2^(2y - 2)
2^(x - 4) = 2^(1 - (2y - 2))
2^(x - 4) = 2^(3 - 2y)
Comparing the indices on both sides,
x - 4 = 3 - 2y
x = 7 - 2y
I think this is probably a simultaneous equation question. You need another equation to solve for x and y.
Re: O-Level Additional Math
Posted: Thu May 19, 2016 8:45 am
by KSP2013777
I need help with this question part (ii). Can somebody please help. Thank you
Re: O-Level Additional Math
Posted: Thu May 19, 2016 8:45 am
by KSP2013777
I need help with this question part (ii). Can somebody please help. Thank you
Re: O-Level Additional Math
Posted: Thu May 19, 2016 3:04 pm
by kennethTutor
KSP2013777 wrote:I need help with this question part (ii). Can somebody please help. Thank you
Use the double angle formula: cos 2β = 2 cos^2 β - 1
Make cos β the subject.
Because of the square root, there will be two possible answers (one positive and one negative).
Since 2β and α are in the same quadrant, and sin α is negative and tan 2β is positive, both angles are in the fourth quadrant (between 270° and 360°).
Angle β should be between 135° and 180° (2nd quadrant). Thus we expect cos β to be negative.
Ans should be -√(7/8)
Re: O-Level Additional Math
Posted: Sat May 21, 2016 2:37 pm
by KSP2013777
Thank you, Kenneth Tutor.
Can you help me with another question, Please?
Thank you.
Re: O-Level Additional Math
Posted: Sat May 21, 2016 5:36 pm
by questionable_i
Can anyone help me?
in advance.
Q1) A function f is defined by f(x)=|x^2-3x|. Find the values of x for which f(x)=x-3.
Q2) Find the
x-coordinates of the
points of intersection of the
curve y=|16-x^2| and the
line y=33.
Q3) Find the x-coordinates of all the points at which the graph of y=|x^2-9|-5 meets the x-axis.