Answer:
The weight in each bag is 4.39lb.
Step-by-step explanation:
To solve this, you simply need to divide 96.58 by 22. The reason you do this is so that way you can divide all of the weight into 22 bags.
96.58 ÷ 22 = 4.39
This means that the weight in each bag is 4.39lb.
Henry swims at 1.6 laps per minute, Larry swims at 1.8 laps per minute. Larry swims faster
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:-19
Step-by-step explanation:
3x+5-(2x-3)=0
3x+5-2x+3=0
x+8=0
x=-8
substitute x into 3x+5 to find the length of MO
3x+5
3(-8)+5
-24+5
-19