Answer:
A. F(x) = 1/(x +2)²
Step-by-step explanation:
The asymptote at x = -2 tells you that x -(-2) = x +2 is a denominator factor. The fact that the function has the same sign on both sides of the asymptote tells you that factor has even degree.
Of the choices listed, the appropriate one is ...
F(x) = 1/(x +2)²
Answer:
92
Step-by-step explanation:
Let x represent the mean test scores of each female student.
The total scores of 15 female students would be
.
We have been given that the 17 male students in the class had a mean score of 60.
The total scores of 17 male students would be
.
We know that mean is equal to sum of data divided by total numbers in data set.
![\text{Average}=\frac{\text{Sum}}{\text{Count}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%7D%3D%5Cfrac%7B%5Ctext%7BSum%7D%7D%7B%5Ctext%7BCount%7D%7D)
We are told that a class of 32 students has a mean test score of 75.
![75=\frac{1020+15x}{32}](https://tex.z-dn.net/?f=75%3D%5Cfrac%7B1020%2B15x%7D%7B32%7D)
![75*32=\frac{1020+15x}{32}*32](https://tex.z-dn.net/?f=75%2A32%3D%5Cfrac%7B1020%2B15x%7D%7B32%7D%2A32)
![2400=1020+15x](https://tex.z-dn.net/?f=2400%3D1020%2B15x)
![2400-1020=1020-1020+15x](https://tex.z-dn.net/?f=2400-1020%3D1020-1020%2B15x)
![1380=15x](https://tex.z-dn.net/?f=1380%3D15x)
![\frac{1380}{15}=\frac{15x}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B1380%7D%7B15%7D%3D%5Cfrac%7B15x%7D%7B15%7D)
![92=x](https://tex.z-dn.net/?f=92%3Dx)
Therefore, the mean score for the 15 female students was 92.
Answer:
record time
Step-by-step explanation:
code word is record time
Answer:
Third answer (she is incorrect because she should have squared each leg length and then found the sum.)
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². This is not equivalent to (a+b)²=c² (due to FOIL expansion, this expands to a²+2ab+b²=c²).
This matches with the third answer, as she has to do a² and b≥ separately.
**This question involves expanding perfect squares, which you may wish to revise. I'm always happy to help!
20 because radius times height will give you the surface area of the shape