36
3x = 2(90 - x)
3x = 180 -2x
5x = 180
x = 36
Answer:
The answer is the option C
x is all real numbers
Step-by-step explanation:
we know that
The domain of the function of the figure is the interval-----> (-∞,∞)
therefore
The domain is all real numbers
![a_1=3;\ a_2=9;\ a_3=15;\ ...\\\\d=a_2-a_1\to d=9-3=6](https://tex.z-dn.net/?f=a_1%3D3%3B%5C%20a_2%3D9%3B%5C%20a_3%3D15%3B%5C%20...%5C%5C%5C%5Cd%3Da_2-a_1%5Cto%20d%3D9-3%3D6)
The formula of the sum of the arithmetic sequence:
![S_n=\dfrac{2a_1+(n-1)d}{2}cdot n](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B2a_1%2B%28n-1%29d%7D%7B2%7Dcdot%20n)
Substitute:
![a_1=3;\ d=6;\ n=24\\\\S_{24}=\dfrac{2\cdot3+(24-1)\cdot6}{2}\cdot24=(6+23\cdot6)\cdot12=(6+138)\cdot12=144\cdot12=1,728](https://tex.z-dn.net/?f=a_1%3D3%3B%5C%20d%3D6%3B%5C%20n%3D24%5C%5C%5C%5CS_%7B24%7D%3D%5Cdfrac%7B2%5Ccdot3%2B%2824-1%29%5Ccdot6%7D%7B2%7D%5Ccdot24%3D%286%2B23%5Ccdot6%29%5Ccdot12%3D%286%2B138%29%5Ccdot12%3D144%5Ccdot12%3D1%2C728)
Answer:
1,728.
469.1 mg = .4691 g. Hope I helped. =)