ANSWER
See below
EXPLANATION
Given
![f(x) = \frac{ {x}- 9 }{x + 5}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B%20%7Bx%7D-%209%20%7D%7Bx%20%2B%205%7D%20)
and
![g(x) = \frac{ - 5x - 9}{x - 1}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%20%5Cfrac%7B%20-%205x%20-%209%7D%7Bx%20-%201%7D%20)
![(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20%5C%3A%20g%29%28x%29%3D%20%20%5Cfrac%7B%20%28%5Cfrac%7B%20-%205x%20-%209%7D%7Bx%20-%201%7D%29-%209%20%7D%7B%28%5Cfrac%7B%20-%205x%20-%209%7D%7Bx%20-%201%7D%20%29%2B%205%7D%20)
![(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20%5C%3A%20g%29%28x%29%3D%20%20%5Cfrac%7B%20%5Cfrac%7B%20-%205x%20-%209%20-%209%28x%20-%201%29%7D%7Bx%20-%201%7D%7D%7B%5Cfrac%7B%20-%205x%20-%209%20%2B%205%28x%20-%201%29%7D%7Bx%20-%201%7D%20%7D%20)
Expand:
![(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20%5C%3A%20g%29%28x%29%3D%20%20%5Cfrac%7B%20%5Cfrac%7B%20-%205x%20-%209%20-%209x%20%20%2B%209%7D%7Bx%20-%201%7D%7D%7B%5Cfrac%7B%20-%205x%20-%209%20%2B%205x%20-%205%7D%7Bx%20-%201%7D%20%7D%20)
![(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20%5C%3A%20g%29%28x%29%3D%20%20%5Cfrac%7B%20%5Cfrac%7B%20-%205x%20-%209x%20%20%2B%209%20-%209%7D%7Bx%20-%201%7D%7D%7B%5Cfrac%7B%20-%205x%20%2B%205x%20-%205%20-%209%7D%7Bx%20-%201%7D%20%7D%20)
![(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20%5C%3A%20g%29%28x%29%3D%20%20%5Cfrac%7B%20%5Cfrac%7B%20-%2014x%20%7D%7Bx%20-%201%7D%7D%7B%5Cfrac%7B%20-14%7D%7Bx%20-%201%7D%20%7D%20)
Since the denominators are the same, they will cancel out,
![(f \circ \: g)(x)= \frac{ - 14x}{ - 14} = x](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20%5C%3A%20g%29%28x%29%3D%20%5Cfrac%7B%20-%2014x%7D%7B%20-%2014%7D%20%20%3D%20x)
Answer: 3 gallons/minute
Step-by-step explanation:
If it is 21 gallons per 7 minutes, that is equal to 21/7. You have to make that a unit rate. 21/7 = 21 divided by 7 = 3
<u><em>Hope this helps! </em></u>
7s + 20 = 4s -13
7s - 4s = -13 -20
3s = -33
s = -33/3
s = -11
Hi, it is simple
Use the formula:
Let A = (5,4) and B = (-3,-1)
Where,
A = (xa, ya) and B = (xb , yb)
Then,
d(A, B) = √(xb -xa)^2 +(yb-ya)^2
Replacing it:
d(A, B) = √(-3-5)^2+(-1-4)^2
= √(-8)^2+(-5)^2
= √(64+25)
= √(89)
As the question does not specify the unit of measure.
d(A, B) = √(89) u.m
Unit of measure
Hope this helps!
Answer:
1/3
Step-by-step explanation:
There were 18 students and six liked Much Ado About Nothing. So, you could write this as 6/18 which simplifies to 1/3.