Answer:
see below
Step-by-step explanation:
The quadratic formula is ...
![x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-b}{2a}\pm\dfrac{\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%3D%5Cdfrac%7B-b%7D%7B2a%7D%5Cpm%5Cdfrac%7B%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Replace <span>x = 2 into f(x)=7x-5
</span> f(2)=7(2)-5 = 14 -5 = 9
answer is <span>A. 9</span>
For this case we have that by definition, the area of a circle is given by:
![A = \pi * r ^ 2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20%2A%20r%20%5E%202)
Where:
r: It is the radius of the circle.
So, we have that the area of the shaded region is given by:
![\pi * (2x) ^ 2- \pi * 6 ^ 2 = 288 \pi\\4x ^ 2-36 = 288\\4x ^ 2 = 288 + 36\\4x ^ 2 = 324](https://tex.z-dn.net/?f=%5Cpi%20%2A%20%282x%29%20%5E%202-%20%5Cpi%20%2A%206%20%5E%202%20%3D%20288%20%5Cpi%5C%5C4x%20%5E%202-36%20%3D%20288%5C%5C4x%20%5E%202%20%3D%20288%20%2B%2036%5C%5C4x%20%5E%202%20%3D%20324)
We divide between 4 on both sides of the equation:
![x ^ 2 = 81](https://tex.z-dn.net/?f=x%20%5E%202%20%3D%2081)
We apply root to both sides:
![x = \pm \sqrt {81}](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm%20%5Csqrt%20%7B81%7D)
We choose the positive value of the root:
![x = \sqrt {81}\\x = 9](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%7B81%7D%5C%5Cx%20%3D%209)
Finally, the value of "x" is 9
Answer:
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Answer:
around 4839
Step-by-step explanation:
4000(1.016)^12