Recent content by yorick

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    Finding the Intersection of Sets X and Y with Algebraic Methods

    Yes, Thankyou! So basically the solution is something like {x: x=m^2 + m + 1 ; m/4\inN or (m+1)/4\inN}
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    Finding the Intersection of Sets X and Y with Algebraic Methods

    Homework Statement X = {x: x=4n+1, n\inN} Y = {y: y=m^{2}+m+1, m\inN} Find: Y\capX The Attempt at a Solution First I tried to set x=y \Rightarrow n^{2}+n+1=4n+1 \Rightarrow n^{2}-3n=0 \Rightarrow n(n-3)=0 \Rightarrow n=0,3 Subbing this into either equation yields {1,13}. I...
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    Average speed with an unknown distance

    Okay so I've been playing around a bit more, substituting values for displacement. This is for b) Letting x=100km, I travel 50km @ 60km/h = 50min = 5/6 h and 50km @ 100kmh/h = 30min = 1/2 h Then \bar{Sp} = Distance traveled / (t_{2} - t_{1}) right? So t2 would be 5/6 + 1/2, t1=0...
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    Average speed with an unknown distance

    [SOLVED] Average speed with an unknown distance You travel from Place A to Place B, half the time at a speed of 60km/h and the other half at 100km/h. On the return journey, you travel half the distance at 60km/h, and the other half at 100km/h. a) What is your average speed from A to B? b)...