Answer:
x = 11√2
Step-by-step explanation:
We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):
x * √2 = 22
We can divide by √2 on both sides to get:
x = 22 / √2
To rationalize the denominator, we multiply by √2 / √2 on the right side:
x = 22√2 / 2
This simplifies to:
x = 11√2
Consider the function
First, factor it:
![G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).](https://tex.z-dn.net/?f=G%28x%29%20%3D%20-2x%5E3%20-%2015x%5E2%20%2B%2036x%3D-x%282x%5E2%2B15x-36%29%3D%5C%5C%20%5C%5C%3D-x%5Ccdot%202%5Ccdot%20%5Cleft%28x-%5Cdfrac%7B-15-%5Csqrt%7B513%7D%7D%7B4%7D%5Cright%29%5Ccdot%20%5Cleft%28x-%5Cdfrac%7B-15%2B%5Csqrt%7B513%7D%7D%7B4%7D%5Cright%29.)
The x-intercepts are at points ![\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B-15-%5Csqrt%7B513%7D%20%7D%7B4%7D%2C0%5Cright%29%2C%5C%20%280%2C0%29%2C%5C%20%5Cleft%28%5Cdfrac%7B-15%2B%5Csqrt%7B513%7D%20%7D%7B4%7D%2C0%5Cright%29.)
1. From the attached graph you can see that
- function is positive for
![x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);](https://tex.z-dn.net/?f=x%5Cin%20%5Cleft%28-%5Cinfrty%2C%20%5Cdfrac%7B-15-%5Csqrt%7B513%7D%20%7D%7B4%7D%5Cright%29%5Ccup%20%5Cleft%280%2C%5Cdfrac%7B-15%2B%5Csqrt%7B513%7D%20%7D%7B4%7D%5Cright%29%3B)
- function is negative for
![x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).](https://tex.z-dn.net/?f=x%5Cin%20%5Cleft%28%5Cdfrac%7B-15-%5Csqrt%7B513%7D%20%7D%7B4%7D%2C0%5Cright%29%5Ccup%20%5Cleft%28%5Cdfrac%7B-15%2B%5Csqrt%7B513%7D%20%7D%7B4%7D%2C%5Cinfty%5Cright%29.)
2. Since
the function is neither even nor odd.
3. The domain is
the range is
Answer:
your a dumb
Step-by-step explanation:
Answer:
SEE BELOW
Step-by-step explanation:
1 - 12000 ft
2 - 10 minutes
3 - The third segment in he graph is not as steep as the first segment because the flight took more time to lose altitude than the time taken to gain altitude.
<em>Hope it helped</em>
If the equation is 4x+1/3=20, your answer would be x=59/12.
- You would subtract 1/3 from each side. (1/3 - 1/3) (20-1/3)
- Then your new equation would be 4x = 59/3
- You would divide 4 from each side (4/4) (59/3 / 4)
- x = 59/12