Due to the distance formula the answer should be root 113 or 10.63
3,727.25 divide 4.25 = 877
Answer:
![C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4x%20%260%20%5Cle%20x%20%5Cle%202%26%20%5C%5C4%20%2B2x%20%262%20%3C%20x%20%5Cle%206%26%20%5C%5C16%20%266%3Cx%5Cle%208%26%20%5Cend%7Barray%7D%5Cright)
Step-by-step explanation:
Given
See attachment for question
Required
The piece-wise function
From the attachment, we have:
(1) $4/hr for first 2 hours
This is represented as:
The domain is: ![0 \le x \le 2](https://tex.z-dn.net/?f=0%20%5Cle%20x%20%5Cle%202)
(2) $2/hr for next 4 hours
Here, we have:
![Rate = 2](https://tex.z-dn.net/?f=Rate%20%3D%202)
The total cost in the first 2 hours is:
![C(2) = 4*2 = 8](https://tex.z-dn.net/?f=C%282%29%20%3D%204%2A2%20%3D%208)
So, this function is represented as:
----- 2 represents the first 2 hours
So, we have:
![C(x) = C(2) + Rate * (Time - 2)](https://tex.z-dn.net/?f=C%28x%29%20%3D%20C%282%29%20%2B%20Rate%20%2A%20%28Time%20-%202%29)
![C(x) =8 + 2(x - 2)](https://tex.z-dn.net/?f=C%28x%29%20%3D8%20%2B%202%28x%20-%202%29)
Open brackets
![C(x) =8 + 2x - 4](https://tex.z-dn.net/?f=C%28x%29%20%3D8%20%2B%202x%20-%204)
Collect like terms
![C(x) =8 - 4+ 2x](https://tex.z-dn.net/?f=C%28x%29%20%3D8%20-%204%2B%202x)
![C(x) =4+ 2x](https://tex.z-dn.net/?f=C%28x%29%20%3D4%2B%202x)
The domain is:
![2 < x \le 2 + 4](https://tex.z-dn.net/?f=2%20%3C%20x%20%5Cle%202%20%2B%204)
![2](https://tex.z-dn.net/?f=2%20%3Cx%20%5Cle%206)
(3) 0 charges for the last 2 hours
The maximum charge from (2) is:
![C(x) =4+ 2x](https://tex.z-dn.net/?f=C%28x%29%20%3D4%2B%202x)
![C(6) = 4 + 2*6](https://tex.z-dn.net/?f=C%286%29%20%3D%204%20%2B%202%2A6)
![C(6) = 4 + 12](https://tex.z-dn.net/?f=C%286%29%20%3D%204%20%2B%2012)
![C(6) = 16](https://tex.z-dn.net/?f=C%286%29%20%3D%2016)
Since there will be no additional charges, then:
![C(x) = 16](https://tex.z-dn.net/?f=C%28x%29%20%3D%2016)
And the domain is:
--- 8 represents the limit
So, we have:
![C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4x%20%260%20%5Cle%20x%20%5Cle%202%26%20%5C%5C4%20%2B2x%20%262%20%3C%20x%20%5Cle%206%26%20%5C%5C16%20%266%3Cx%5Cle%208%26%20%5Cend%7Barray%7D%5Cright)
40,000 and4,000 the value of the number in 34,258 is 100 times the value in 47,163
Answer:
d. The farmer can make a habitat that is 40 feet wide and 100 feet long.
Step-by-step explanation:
The attached graph shows the inequalities and the various answer choices. The existence of the doubly-shaded area shows that answer choice C is false.
The appropriate choice is ...
d. The farmer can make a habitat that is 40 feet wide and 100 feet long.