Answer:
a)
![f(x) = \frac{4}{x-8} - 3.5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B4%7D%7Bx-8%7D%20-%203.5)
Step-by-step explanation:
The y intercept of g(x) is the value of g when x = 0.
In this problem
![g(x) = \sqrt{x+4} - 6](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%7Bx%2B4%7D%20-%206)
The y-intercept is
![g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4](https://tex.z-dn.net/?f=g%280%29%20%3D%20%5Csqrt%7B0%2B4%7D%20%3D%20%5Csqrt%7B4%7D%20-%206%20%3D%202%20-%206%20%3D%20-4)
a)
![f(x) = \frac{4}{x-8} - 3.5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B4%7D%7Bx-8%7D%20-%203.5)
The y-intercept is:
![f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B4%7D%7B0-8%7D%20-%203.5%20%3D%20-0.5%20-%203.5%20%3D%20-4)
This is the correct answer
b)
![f(x) = -\frac{4}{x} - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Cfrac%7B4%7D%7Bx%7D%20-%201)
The y-intercept is
![f(0) = -\frac{4}{0} - 1](https://tex.z-dn.net/?f=f%280%29%20%3D%20-%5Cfrac%7B4%7D%7B0%7D%20-%201)
This is an asymptote
c)
![f(x) = 2|x+2|](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%7Cx%2B2%7C)
The y-intercept is
![f(0) = 2|0+2| = 4](https://tex.z-dn.net/?f=f%280%29%20%3D%202%7C0%2B2%7C%20%3D%204)
d)
![f(x) = |x - 4|](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7Cx%20-%204%7C)
The y-intercept is
[tex]f(0) = |0-4| = |-4| = 4.
I believe the correct answer is B. -5
2x³+18x²<span>-18x-162 =
2(</span>x³+9x²-9x-81)=
2(x²(x+9)-9(x+9))=
2(x²-9)(x+9)=
2(x+3)(x-3)(x+9)
Answer: k=3
Step-by-step explanation:
Simple first we will multiply
2.5 x 48 = 120 ounces
1 pound = 16 ounces
120 ounces = 120 ÷ 16 = 7.5 pounds
Option A is the correct answer
Answer:
![\frac{1}{2} \times (7.5 + 2.5) \times 2.5 = 12.5](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%20%287.5%20%2B%202.5%29%20%5Ctimes%202.5%20%3D%2012.5)
..........................................................the answer is 12.5