Answer:2
Step-by-step explanation:
ANSWER
![x = \frac{5}{4} - \frac{ \sqrt{ 17} }{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%20%20-%20%20%5Cfrac%7B%20%20%5Csqrt%7B%2017%7D%20%7D%7B4%7D%20)
or
![x = \frac{5}{4} + \frac{ \sqrt{ 17} }{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B%20%20%5Csqrt%7B%2017%7D%20%7D%7B4%7D%20)
EXPLANATION
The given equation is:
![2 {x}^{2} - 5x + 1= 0](https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B2%7D%20-%205x%20%2B%201%3D%200)
Comparing this to
![a {x}^{2} + bx + c = 0](https://tex.z-dn.net/?f=a%20%7Bx%7D%5E%7B2%7D%20%20%2B%20bx%20%2B%20c%20%3D%200)
we have a=2, b=-5, c=1
The quadratic formula is given by
![x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%20b%20%5Cpm%20%5Csqrt%7B%20%7Bb%7D%5E%7B2%7D%20%20-%204ac%7D%20%7D%7B2a%7D%20)
We substitute the values to get,
![x = \frac{ - - 5 \pm \sqrt{ {( - 5)}^{2} - 4(1)(2)} }{2(2)}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%20%20-%205%20%5Cpm%20%5Csqrt%7B%20%7B%28%20-%205%29%7D%5E%7B2%7D%20%20-%204%281%29%282%29%7D%20%7D%7B2%282%29%7D%20)
![x = \frac{ 5 \pm \sqrt{ 17} }{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%205%20%5Cpm%20%5Csqrt%7B%2017%7D%20%7D%7B4%7D%20)
![x = \frac{5}{4} - \frac{ \sqrt{ 17} }{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%20%20-%20%20%5Cfrac%7B%20%20%5Csqrt%7B%2017%7D%20%7D%7B4%7D%20)
or
![x = \frac{5}{4} + \frac{ \sqrt{ 17} }{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%20%20%2B%20%20%5Cfrac%7B%20%20%5Csqrt%7B%2017%7D%20%7D%7B4%7D%20)
Answer:
1,027 milliliters
Step-by-step explanation:
1 liter is 1,000 milliliters
2 centiliters is 20 milliliters
7 milliliters stays the same
Adding up the new numbers gives you
1,000+20+7
Angular acceleration is change of angular velocity over time:
α = 5 / 8 = 0.625 rev / s²
Number of revolutions of the 1st part:
α · t² /2 = 0.625 * 8² / 2 = 20 rev.
The 2nd part:
α = 5/12 = 0.41667 rev/s²
5 * 12 - ( 0.41667 * 12² / 2 ) = 60 - 30 = 30 rev.
In total: 20 + 30 = 50 revolutions