![\displaystyle\lim_{x\to5}3x-8=7](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto5%7D3x-8%3D7)
means to say that for any given
, we can find
such that anytime
(i.e. the whenever
is "close enough" to 5), we can guarantee that
(i.e. the value of
is "close enough" to the limit value).
What we want to end up with is
![|(3x-8)-7|=|3x-15|=3|x-5|](https://tex.z-dn.net/?f=%7C%283x-8%29-7%7C%3D%7C3x-15%7C%3D3%7Cx-5%7C%3C%5Cvarepsilon)
Dividing both sides by 3 gives
![|x-5|](https://tex.z-dn.net/?f=%7Cx-5%7C%3C%5Cdfrac%5Cvarepsilon3)
which suggests
is a sufficient threshold.
The proof itself is essentially the reverse of this analysis: Let
be given. Then if
![|x-5|](https://tex.z-dn.net/?f=%7Cx-5%7C%3C%5Cdelta%3D%5Cdfrac%5Cvarepsilon3%5Cimplies3%7Cx-5%7C%3D%7C3x-15%7C%3D%7C%283x-8%29-7%7C%3C%5Cvarepsilon)
and so the limit is 7. QED
The answer is A because the sales are going up 1000 every day
Slope formula: m =
(Knowing that m represents the slope)
Substitute (1,0) for (x1,y1), and (-1,-3) for (x2,y2)
Slope of the line of (1,0) and (-1,-3) is:
m =
=
=
(Simplify)
Slope of the line of (1,0) and (-1,-3) is
Answer:
Altogether this would equal 11 1/2 pints
<em>Hope this helped!! Have a god day c;</em>
Step-by-step explanation:
Answer:
nisha
Step-by-step explanation:
you have to pick the middle one