Answer:
![\large\boxed{f(x)=\dfrac{4}{x+2}+5}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bf%28x%29%3D%5Cdfrac%7B4%7D%7Bx%2B2%7D%2B5%7D)
Step-by-step explanation:
![f(x)=\dfrac{a}{x-b}+c\\\\\text{We have}\\\text{(1) the vertical asymptote}\ x=-2.\ \text{Therefore}\ b=-2.\\\text{(2) the horizontal asymptote}\ y=5.\ \text{Therefore}\ c=5.\\\text{(3) the point (0, 7). Put the coordinates of the point to the equation}\\\text{of the function}\\y=\dfrac{a}{x-(-2)}+5\\\\7=\dfrac{a}{0+2}+5\qquad\text{subtract 5 from both sides}\\\\2=\dfrac{a}{2}\qquad\text{multiply both sides by 2}\\\\4=a\to a=4\\\\\text{Finally:}\\\\f(x)=\dfrac{4}{x+2}+5](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7Ba%7D%7Bx-b%7D%2Bc%5C%5C%5C%5C%5Ctext%7BWe%20have%7D%5C%5C%5Ctext%7B%281%29%20the%20vertical%20asymptote%7D%5C%20x%3D-2.%5C%20%5Ctext%7BTherefore%7D%5C%20b%3D-2.%5C%5C%5Ctext%7B%282%29%20the%20horizontal%20asymptote%7D%5C%20y%3D5.%5C%20%5Ctext%7BTherefore%7D%5C%20c%3D5.%5C%5C%5Ctext%7B%283%29%20the%20point%20%280%2C%207%29.%20Put%20the%20coordinates%20of%20the%20point%20to%20the%20equation%7D%5C%5C%5Ctext%7Bof%20the%20function%7D%5C%5Cy%3D%5Cdfrac%7Ba%7D%7Bx-%28-2%29%7D%2B5%5C%5C%5C%5C7%3D%5Cdfrac%7Ba%7D%7B0%2B2%7D%2B5%5Cqquad%5Ctext%7Bsubtract%205%20from%20both%20sides%7D%5C%5C%5C%5C2%3D%5Cdfrac%7Ba%7D%7B2%7D%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%202%7D%5C%5C%5C%5C4%3Da%5Cto%20a%3D4%5C%5C%5C%5C%5Ctext%7BFinally%3A%7D%5C%5C%5C%5Cf%28x%29%3D%5Cdfrac%7B4%7D%7Bx%2B2%7D%2B5)
Answer:
-300
Step-by-step explanation:
Answer:
correct option is B. 199
Step-by-step explanation:
given data
pick observers = 2
make = 100 aesthetic judgments
to find out
degrees of freedom
solution
we know that the degrees of freedom is express here as
degrees of freedom = 2 n - 1 ................................1
here we know n is 100 given
so put here value we get
degrees of freedom = 2 n - 1
degrees of freedom = 2×100 - 1
degrees of freedom = 199
so correct option is B. 199
Answer:
x=18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle 1
we know that
----> by corresponding angles
step 2
Find the value of x
we know that
----> by linear pair (supplementary angles)
we have
![m\angle 1=94^o](https://tex.z-dn.net/?f=m%5Cangle%201%3D94%5Eo)
substitute
![94^o+(5x-4)^o=180^o](https://tex.z-dn.net/?f=94%5Eo%2B%285x-4%29%5Eo%3D180%5Eo)
solve for x
![5x+90=180\\5x=90\\x=18](https://tex.z-dn.net/?f=5x%2B90%3D180%5C%5C5x%3D90%5C%5Cx%3D18)