Answer:
Step-by-step explanation:
The answer is b trust me
Answer:
t = 15.42 s
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
![y=-16x^2+242x+73](https://tex.z-dn.net/?f=y%3D-16x%5E2%2B242x%2B73)
We ned to find the time when the rocket will the ground. For this, y = 0
![-16x^2+242x+73=0](https://tex.z-dn.net/?f=-16x%5E2%2B242x%2B73%3D0)
It is a quadratic equation whose solution is given by :
![x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
Here, a = -16, b = 242 and c = 73
![x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%2B%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%2C%20x%3D%5Cdfrac%7B-b-%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B-242%2B%20%5Csqrt%7B%28242%29%5E2-4%28-16%29%2873%29%7D%20%7D%7B2%28-16%29%7D%2C%20x%3D%5Cdfrac%7B-242-%20%5Csqrt%7B%28242%29%5E2-4%28-16%29%2873%29%7D%20%7D%7B2%28-16%29%7D%5C%5C%5C%5C%3D-0.295%5C%20s%2C%2015.42%5C%20s)
Neglecting negative value.
So, it will hit the ground in 15.42 s.
Highest exponent is the degree. So the degree is 13
<h2>Answer= <u>42</u></h2>
Step-by-step explanation:
Greetings !
Given expression
![6 = 20 - \frac{x}{3}](https://tex.z-dn.net/?f=6%20%3D%2020%20-%20%20%5Cfrac%7Bx%7D%7B3%7D%20)
Switch sides
![20 - \frac{x}{3} = 6](https://tex.z-dn.net/?f=20%20-%20%20%5Cfrac%7Bx%7D%7B3%7D%20%20%3D%206)
subtract 20 from both sides
![20 - \frac{x}{3} - 20 = 6 - 20](https://tex.z-dn.net/?f=20%20-%20%20%5Cfrac%7Bx%7D%7B3%7D%20%20-%2020%20%3D%206%20-%2020)
![\frac { - x}{3} = - 14](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B%20%20-%20x%7D%7B3%7D%20%20%3D%20%20-%2014)
multiply both sides by 3
![3( \frac{ - x}{3} ) = 3( - 14)](https://tex.z-dn.net/?f=3%28%20%5Cfrac%7B%20-%20x%7D%7B3%7D%20%29%20%3D%203%28%20-%2014%29)
simplify
![- x = - 42](https://tex.z-dn.net/?f=%20-%20x%20%3D%20%20-%2042)
divide both sides by -1.
![\frac{ - x}{ - 1} = \frac{ - 42}{ - 1} \\ x = 42](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%20x%7D%7B%20-%201%7D%20%20%3D%20%20%5Cfrac%7B%20-%2042%7D%7B%20-%201%7D%20%20%5C%5C%20x%20%3D%2042)
Hope it helps!