I assume this is. 2^(4x) = 32^(x+1)
Since 32 = 2^5 we can write 2^(4x) = (2^5)^(x+1)
This becomes 2^(4x) = 2^(5x+5)
Therefore we must have 4x = 5x + 5. Or x = -5
We know that f(8) = -5
Set -x + 1 = 8 (so x = -7). Then abs(f(-x+1)-2) = abs(-5 -2) = 7, so y = (3/7) + 5 = 38/7
So the point in question is (-7, 38/7)
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63:9 can certainly be thought of as a straight division! As ElectricPavlov points out, that division does not represent the ratio (or percentage) of red marbles to the total number of marbles, but it does represent the fact that there are 63/9 (= 7) times as many red as blue marbles.
Post a specific equation and we'll show you.
Both! A ratio is a division.
To get the average value, divide by 2pi:
\(average=\frac{\pi (e^2-1)}{2\pi} \rightarrow \frac{1}{2}(e^2-1)\)
Like so:
The possibilities (where g = good and b = bad) are:
gg = 6/10*5/9 = 1/3
gb = 6/10*4/9 = 4/15
bg = 4/10*6/9 = 4/15
So, given that one of the pair is g, the probability that you have gg is (1/3) / (1/3 + 4/15 + 4/15) = 5/13 ≈ 0.385
4^13 = 67108864
Could also do it as follows:
+33667 
