Recent content by Bardagath

I think your first 2 equivalencies are wrong... x > 2y+1 should be equal to (x-1)/2 > y and I believe there should be a similar result for your second equation

Thanks so much, I was afraid I'd be left in this form. Oh well, must use Cardano's equation now... Thankyou very much

Hello, I have been working on this problem for a while now and can't seem to get it into a forum which would isolate x, which would then allow me to sub y and find the inverse. The problem is x^3/x^2+1 Can anyone help me with this? I am utterly stuck I have dealt with a similar...

Anonymous217, Your method is most inspiring and it helped me conquer this problem. What do you think about this method: put both equations 6x-3y=9 and ax+y=-3 into an augmented matrix form ------> 6 | -3 : 9 (-a) multiply row 1 by -a A |...

Consider the system 6x-3y=9 ax+y=-3 where a is a real number. For which value of a has this system infinitely many solutions? My intuition tells me this should be a straightforward problem but I am not sure how to get started with it. My effort so far has been to put the system in...

Thanks hamster143, So the problem is that I misinterpreted the wording of the problem. Should angles of elevation always be measured from a horizontal? Why would you not measure the angle of elevation to the sun from the incline? The key word here is "angle of elevation"? ( Defined as...

Hi, This is a problem that has been very confusing for me and I feel it could be because I am misinterpreting the wording: A tree standing (vertically) on a slope inclined at an angle of 11° to the horizontal casts a shadow of length 15m up the slope. If the angle of elevation of the sun...

I don't know why it didn't fall into place earlier but I woke up today and it fits; Yes, loga(x)loga(a) = loga(x) . 1 = loga(x) Thankyou very much for your replies!

Hello, I made a mistake in the title of this thread and this question is on general logarithms; loga(aloga(x)) = loga(x) ==> aloga(x) = x Can someone enlighten me on why loga(aloga(x)) simplifies to loga(x)? Can someone prove why this is true? Futhermore, why does this imply that...

It is a case of simplifying this expression: a^2 - ab / ab The solution given in a textbook is: a - b / b I observe that for the one "a" that was canceled below, two "a's" were canceled above in this simplification. Why would the solution not be: a^2 -...