Answer:
<em>An empty subset would still be a subset</em>
{}
<em>Then let's pick one at a time</em>
{red}
{blue}
{yellow}
<em>Then in pairs</em>
{red, blue}
{red, yellow}
{blue, yellow}
<em>and finally, everything goes in!</em>
{red, blue, yellow}
Answer:
A similar problem to yours is attached in the picture below. We adjust the data of the problem in the picture to fit your question.
The answer is (3/4)*(3/4)*(1/3) = 3/16 of the girls in the class have long brown hair and green eyes
Step-by-step explanation:
As every condition must contain the set we are studying, we are talking about and AND condition, and thus we need to multiply each term to get the correct result.
3/4 * (3/4) * (1/3) = 3/16
F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
I think it’s 1,270.246376811594 :)
