Triangle JKL has a base that is 1 unit long
Triangle J'K'L' has a base that is 3 units long
3 units / 1 unit = 3
The scale factor is 3.
<span>let P(n)=4n² / n²+10000n
when n ----------> infinity, the main rule is as follow
lim </span><span>P(n)=4n² / n²+10000n = lim </span>P(n)=4n² / n²= lim 4= 4
n ----------> infinity <span> n ----------> infinity </span><span>n ----------> infinity
finally
</span>
<span>Lim->infinity 4n^2/n^2+10000n
= 4</span>
Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
Hi, did you attach the picture for it?
