Answer
Find out the how long will it take the submarine to descend to the ocean floor
To proof
Formula
![r = \frac{d}{t}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bd%7D%7Bt%7D)
where d = distance traveled (or descended),
r = rate of travel , t = time
As given
A submarine descends at a rate of 2.6 kilometers per hour. If the ocean floor is 6.24 kilometers below sea level .
put all the values in the above formula
![2.6 = \frac{6.24}{t}](https://tex.z-dn.net/?f=2.6%20%3D%20%5Cfrac%7B6.24%7D%7Bt%7D)
![t = \frac{6.24}{2.6}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B6.24%7D%7B2.6%7D)
t = 2.4 hour
it take 2.4 hours the submarine to descend to the ocean floor .
Hence proved
Bare with me a minute, I am still trying to figure it out. Here is what I have so far.
The value of 4 in 704 is ones
Answer: ![\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}](https://tex.z-dn.net/?f=%5Cpm%5Cfrac%7B1%7D%7B1%7D%2C%20%5Cpm%5Cfrac%7B1%7D%7B2%7D%2C%5Cpm%5Cfrac%7B2%7D%7B1%7D%2C%5Cpm%5Cfrac%7B3%7D%7B1%7D%2C%20%5Cpm%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
We can use the Rational Root Test.
Given a polynomial in the form:
![a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0](https://tex.z-dn.net/?f=a_nx%5En%20%2Ba_%7Bn-%201%7Dx%5E%7Bn%20-%201%7D%20%2B%20%E2%80%A6%20%2B%20a_1x%5E1%20%2B%20a_0%20%3D%200)
Where:
- The coefficients are integers.
-
is the leading coeffcient (
)
-
is the constant term ![a_0\neq 0](https://tex.z-dn.net/?f=a_0%5Cneq%200)
Every rational root of the polynomial is in the form:
![\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}](https://tex.z-dn.net/?f=%5Cfrac%7Bp%7D%7Bq%7D%3D%5Cfrac%7B%5Cpm%28factors%5C%20of%5C%20a_0%29%7D%7B%5Cpm%28factors%5C%20of%5C%20a_n%29%7D)
For the case of the given polynomial:
![2x^7+3x^5-9x^2+6=0](https://tex.z-dn.net/?f=2x%5E7%2B3x%5E5-9x%5E2%2B6%3D0)
We can observe that:
- Its constant term is 6, with factors 1, 2 and 3.
- Its leading coefficient is 2, with factors 1 and 2.
Then, by Rational Roots Test we get the possible rational roots of this polynomial:
![\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bp%7D%7Bq%7D%3D%5Cfrac%7B%5Cpm%281%2C2%2C3%2C6%29%7D%7B%5Cpm%281%2C2%29%7D%3D%5Cpm%5Cfrac%7B1%7D%7B1%7D%2C%20%5Cpm%5Cfrac%7B1%7D%7B2%7D%2C%5Cpm%5Cfrac%7B2%7D%7B1%7D%2C%5Cpm%5Cfrac%7B3%7D%7B1%7D%2C%20%5Cpm%5Cfrac%7B3%7D%7B2%7D)