Yes they are , since they are very common in ones body
Answer:
B. Alex smokes a pack of cigarettes per day even though he knows that he may face poor health down the road because of his smoking habit.
Step-by-step explanation:
Time preference means that the person would like to have temporary but instant satisfaction. In this case, B would be the best choice, for Alex wants to experience the "high" (I guess?) from smoking, even when he knew that there would be health consequences down the road.
In this case, it is not:
A, for Thomas is not going to receive his reward (a profit from the investment) until later on. The money he invest is still "there", but it is technically gone into investment.
C, because this is assuming that retirement is a long way off, and that this would be a long-term investment, rather than a short term.
D, this is a long-term investment, as Sarah "hopes" that she can earn it all back in the future. With what she learns, she, in the long run, wants to find a sustainable & high-paying job.
~
Answer:
its the second one
Step-by-step explanation:
In this problem, we need to plug in the given x values for
![f(x)=0](https://tex.z-dn.net/?f=%20f%28x%29%3D0%20)
and find a and b.
When we plug in 1, we get:
![2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0](https://tex.z-dn.net/?f=2%20%5Ctimes%20%7B1%7D%5E%7B4%7D%20-%205%20%5Ctimes%20%7B1%7D%5E%7B3%7D%20-%2014%20%5Ctimes%20%7B1%7D%5E%7B2%7D%20%2B%20a%20%5Ctimes%201%20%2B%20b%20%3D%200)
Simplify:
![2 - 5 - 14 + a + b = 0](https://tex.z-dn.net/?f=2%20-%205%20-%2014%20%2B%20a%20%2B%20b%20%3D%200)
![- 17 + a + b = 0](https://tex.z-dn.net/?f=%20-%2017%20%2B%20a%20%2B%20b%20%3D%200)
![a + b = 17](https://tex.z-dn.net/?f=a%20%2B%20b%20%3D%2017)
We got our first statement about the values of the variables. If we find one more we can find those 2 variables.
We have another given root: 4.
Plug it in:
![2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0](https://tex.z-dn.net/?f=2%20%5Ctimes%20%7B4%7D%5E%7B4%7D%20-%205%20%5Ctimes%20%7B4%7D%5E%7B3%7D%20-%2014%20%5Ctimes%20%7B4%7D%5E%7B2%7D%20%2B%20a%20%5Ctimes%204%20%2B%20b%20%3D%200)
![512 - 320 - 224 + 4a + b = 0](https://tex.z-dn.net/?f=512%20-%20320%20-%20224%20%2B%204a%20%2B%20b%20%3D%200)
![- 32 + 4a + b = 0](https://tex.z-dn.net/?f=%20-%2032%20%2B%204a%20%2B%20b%20%3D%200)
![4a + b = 32](https://tex.z-dn.net/?f=4a%20%2B%20b%20%3D%2032)
Now we have our second one. We can combine them:
![a + b = 17 \\ 4a + b = 32](https://tex.z-dn.net/?f=a%20%2B%20b%20%3D%2017%20%5C%5C%204a%20%2B%20b%20%3D%2032)
I use elimination method which is easier here.
Multiply the top equation by -1:
![- a - b = - 17 \\ 4a + b = 32](https://tex.z-dn.net/?f=%20-%20a%20-%20b%20%3D%20-%2017%20%5C%5C%204a%20%2B%20b%20%3D%2032)
Add them up:
![3a = 15](https://tex.z-dn.net/?f=3a%20%3D%2015)
Simplify:
![a = 5](https://tex.z-dn.net/?f=a%20%3D%205)
Now we have a, we can plug in one of those equations to find b:
![5 + b = 17](https://tex.z-dn.net/?f=5%20%2B%20b%20%3D%2017)
![b = 17 - 5](https://tex.z-dn.net/?f=b%20%3D%2017%20-%205)
![b = 12](https://tex.z-dn.net/?f=b%20%3D%2012)
So, the answers are
![a=5](https://tex.z-dn.net/?f=a%3D5)
and
![b=12](https://tex.z-dn.net/?f=b%3D12)
.