ANSWER
1.39
EXPLANATION
The given quadratic equation is
![0 = 2 {x}^{2} + 3x - 8](https://tex.z-dn.net/?f=0%20%3D%202%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%208)
This is the same as,
![2 {x}^{2} + 3x - 8 = 0](https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%208%20%3D%200)
Comparing 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%20%2B%20c%20%3D%200)
We have
a=2, b=3,c=-8
Using the quadratic formula, the solution 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%5C%3A%20%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{ - 3\pm \: \sqrt{ {3}^{2} - 4(2)( - 8)} }{2(2)}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%203%5Cpm%20%5C%3A%20%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%20-%204%282%29%28%20-%208%29%7D%20%7D%7B2%282%29%7D%20)
![x = \frac{ - 3\pm \: \sqrt{ 73} }{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%203%5Cpm%20%5C%3A%20%20%5Csqrt%7B%2073%7D%20%7D%7B4%7D%20)
The positive root is
![x = \frac{ - 3 + \: \sqrt{ 73} }{4} = 1.39](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%203%20%2B%20%5C%3A%20%20%5Csqrt%7B%2073%7D%20%7D%7B4%7D%20%3D%201.39)
to the nearest hundredth.
Answer:
Softball : Speed: 29.68 m/s --- Kinetic Energy: 82.36 Joules
Horse: Speed: 13.33 m/s --- Kinetic Energy: 48,331.40 Joules
Satellite: Speed: 3067.13 m/s --- Kinetic Energy: 3,762,910,000 Joules
I hope this helps! Please give me Brainliest. Sorry for the late response, my power went out.
Answer:
a= k/4+9b
Step-by-step explanation:
hope this helps, if not let me know!
You and your 2 nieces bakes 27 cupcakes. This means that there were 27 cupcakes to be distributed evenly between the 3 of you. So divide 27 by 3 to get your answer.
27 ÷ 3 = 9.
This means that each of you would get 9 miniture cupcakes to take home.
Answer:
Step-by-step explanation:
This arc has the same measurement as the central angle. The central angle is LON where O is the center of the circle.
Point M forms an angle that is 1/2 the central angle when M is on the circumference and opposite the 150o angle. Therefore M is the vertex of a 75 degree angle.
76x - 1 = 75 Add 1 to both sides.
76x = 76 Divide by 76
x = 1