Answer: 84
Explanation: None
I hope this helped you, and have a good day :)
Answer:
the penny because, the amount is going to triple everyday which will leave you with alot more money towards the end, and I've seen this so definitely pick the penny.
The graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is the graph attached.
<h3>What is one-sided limit for function?</h3>
It should be noted that the limit from one side is simply when the side of the functions is used with respect to the point of interest.
For this graph, the point x = 2 on the left from the point x = 2 lies a ray. The prediction here is that the value of function on x = 2 us the value that the line gives for y.
Therefore, the graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is attached.
Learn more about graph on:
brainly.com/question/19040584
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Answer:
Slower speed = 9 mph
Step-by-step explanation:
Let the initial speed (slower speed) = s mph
Speed 's' = ![\frac{\text{Distance}}{\text{Time}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BDistance%7D%7D%7B%5Ctext%7BTime%7D%7D)
s =
-------(1)
If the cyclist increases the speed by 3 mph then the final speed = (s + 3) mph
He can reduce the time 't' by 10 minutes (
hours)
Now, (s + 3) = ![\frac{6}{t-\frac{1}{6}}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bt-%5Cfrac%7B1%7D%7B6%7D%7D)
s + 3 =
--------(2)
Substitute the value of 's' from equation (1) to the equation (2).
![\frac{6}{t}+3=\frac{36}{6t-1}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bt%7D%2B3%3D%5Cfrac%7B36%7D%7B6t-1%7D)
![\frac{2}{t}+1=\frac{12}{6t-1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bt%7D%2B1%3D%5Cfrac%7B12%7D%7B6t-1%7D)
![\frac{2}{t}-\frac{12}{6t-1}=-1](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bt%7D-%5Cfrac%7B12%7D%7B6t-1%7D%3D-1)
![\frac{2(6t-1)-12t}{t(6t-1)}=-1](https://tex.z-dn.net/?f=%5Cfrac%7B2%286t-1%29-12t%7D%7Bt%286t-1%29%7D%3D-1)
![\frac{12t-2-12t}{t(6t-1)}=-1](https://tex.z-dn.net/?f=%5Cfrac%7B12t-2-12t%7D%7Bt%286t-1%29%7D%3D-1)
![-\frac{2}{t(6t-1)}=-1](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7Bt%286t-1%29%7D%3D-1)
6t² - t = 2
6t² - t - 2 = 0
6t² - 4t + 3t - 2 = 0
2t(3t - 2) + 1(3t - 2) = 0
(2t + 1)(3t - 2) = 0
t =
hours
But the time can't be negative.
Therefore, t =
hours is the answer.
From equation (1),
s = ![\frac{6}{\frac{2}{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Cfrac%7B2%7D%7B3%7D%7D)
s = 9 miles per hour.
Slower speed = 9 mph is the answer.