<p>I didn’t know how to do 42 the rest were relatively simple…</p>
<p>Well, I didn’t exactly guess… somehow, I found the base and height of the larger triangle to be 5, and when I did bh/2 I got 12.5… it didn’t make sense to me that the area of the triangle within the larger triangle would have a larger area o.O</p>
<p>Yeah… idk what went wrong. :(</p>
<p>Ssur, for the probability question I put 1/3, but now that I think about it, it’s probably 1/3 of 11/24 (the amount between 7/8 and 4/3). Was 1/3 of 11/24 an answer choice?</p>
<p>And the answer to the f(x) and inveserse f(x) question is definitely C. origin?</p>
<p>For the triangle one, I boxed the scalene triangle given in order to “create” two right triangles that i can subtract from the square. Total area of the square was 27 and after subtracting, I got 13.5.</p>
<p>As for the probability one, even though technically it’s infinity, you can still solve for it by first finding the range of the two numbers, and then diving the range from 0 to the max by the total range.</p>
<p>Sorry if what i said is super confusing! It’s hard to vocalize mathematical logic!</p>
<p>if my memory isnt failing me here, then the lines given were :
x + y = 5,
y = 2x - 4 ,
and the y-axis. </p>
<p>Well well, the base of the triangle was simply 9 units (the distance b/w the y-intercepts) and the height was just 3 units (the abscissa of the point of intersection of the first 2 lines) … hence, the area was found by the humble, time-tested method :
A = 0.5 * 9 * 3 = 13.5 sq.units … :-)</p>
<p>yes 13.5 is the right answer!</p>
<p>er…240000, sorry but the q about inverse was the line y = x … u see, every function’s inverse is the reflection of that function over y=x… hence, if a function and its inverse are identical i.e. they overlap each other, they are definitely symmetrical about y = x …</p>
<p>they are symmetrical about y=-x not y=x</p>
<p>Nah its okay … i’ve just realized what a tubelight i’d been … thanks 45fly6129 … but u gotta admit - its an issue of universal concern … who on earth has given us the right to evaluate something by distorting the technicalities of mathematics ?!? good heavens, its just one of those quirks of math… "even though its technically infinity " , we still arrive at a deviously silly answer like 11/24 or something…</p>
<p>Y=X/(X-1) is equal to its inverse and it’s symmetrical across x=y</p>
<p>hey timmy, i’d be really glad if u could explain … 
honestly… and by the way, thanks for that example, needabreak119 …</p>
<p>What’d you guys get for the question asking about the number dice?</p>
<p>oh …that was 14/36 … it was straightforward i suppose ?</p>
<p>if you have y=x as the original function, then x=y which is its inverse would be identical. So, they are symmetrical about y=-x.</p>
<p>i mean, it was simply :</p>
<p>(2/6)<em>(5/6) + (4/6)</em>(1/6) = 14/36</p>
<p>timmy, look… y=x and x=y coincide, don’t they ? so they are obviously symmetrical ‘about themselves’ ! … and in any case, check out the graph of y=x/(x-1) on ur graphing calculator… that should convince u…</p>
<p>What was the probability of getting greater or equal to 1? 8/11?</p>
<p>for the bytes in a gigabyte problem where are you getting 2^33. There are 1073741824 bytes in a gigabyte, 2^30. Where does the extra 2^3 come from?</p>
<p>ok i think it’s x=y but im fine with 1 omit and 1 wrong</p>
<p>TubaIsFun, that’s what I got.</p>
<p>Extelleron, did you multiply by 2^3 (the 8 bits in a byte)? The question asked for how many BITS in a Gigabye, not how many BYTES.</p>