Answer:
1. ![C=21x.](https://tex.z-dn.net/?f=C%3D21x.)
2. ![C=(8x+104).](https://tex.z-dn.net/?f=C%3D%288x%2B104%29.)
Step-by-step explanation:
Let the number of people in the group be x. Denote the total cost as C.
1. If the regular cost is $21 per person, then the total regular cost for x people is ![C=21x.](https://tex.z-dn.net/?f=C%3D21x.)
2. If the special cost is $8 per person, then the total special cost for x people is
There is an additional $104 fee for a private room, thus the total special cost is ![C=(8x+104).](https://tex.z-dn.net/?f=C%3D%288x%2B104%29.)
Answer:
Pretty sure you are correct.
Step-by-step explanation:
Answer: AA similarity posulate
Step-by-step explanation:
In ΔAJM and ΔAPB,
∠PAB = ∠JAM,
Also, since PB || JM, the corresponding angles formed by these two parallel lines with the line AJ are equal i.e.
∠AJM = ∠APB
So, using the AA similarity postulate, we can say that ΔAJM is similar to ΔAPB
For this case we have the following functions:
![f (x) = 6x-1\\g (x) = 4x ^ 2 + x](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%206x-1%5C%5Cg%20%28x%29%20%3D%204x%20%5E%202%20%2B%20x)
We must find ![(g_ {o} f) (x):](https://tex.z-dn.net/?f=%28g_%20%7Bo%7D%20f%29%20%28x%29%3A)
By definition of composition of functions we have to:
![(g_ {o} f) (x) = g (f (x))](https://tex.z-dn.net/?f=%28g_%20%7Bo%7D%20f%29%20%28x%29%20%3D%20g%20%28f%20%28x%29%29)
So:
![(g_ {o} f) (x) = 4 (6x-1) ^ 2 + (6x-1) = 4 ((6x) ^ 2-2 (6x) (1) + (1) ^ 2) + 6x -1 = 4 (36x ^ 2-12x + 1) + 6x-1 = 144x ^ 2-48x + 4 + 6x-1 = 144x ^ 2-42x + 3](https://tex.z-dn.net/?f=%28g_%20%7Bo%7D%20f%29%20%28x%29%20%3D%204%20%286x-1%29%20%5E%202%20%2B%20%286x-1%29%20%3D%204%20%28%286x%29%20%5E%202-2%20%286x%29%20%281%29%20%2B%20%281%29%20%5E%202%29%20%2B%206x%20-1%20%3D%204%20%2836x%20%5E%202-12x%20%2B%201%29%20%2B%206x-1%20%3D%20144x%20%5E%202-48x%20%2B%204%20%2B%206x-1%20%3D%20144x%20%5E%202-42x%20%2B%203)
We have different signs subtracted and the sign of the major is placed.
Finally we have to:
![(g_ {o} f) (x) = 144x ^ 2-42x + 3](https://tex.z-dn.net/?f=%28g_%20%7Bo%7D%20f%29%20%28x%29%20%3D%20144x%20%5E%202-42x%20%2B%203)
ANswer:
![(g_ {o} f) (x) = 144x ^ 2-42x + 3](https://tex.z-dn.net/?f=%28g_%20%7Bo%7D%20f%29%20%28x%29%20%3D%20144x%20%5E%202-42x%20%2B%203)
This is all I understand
Part A. 4x+3x=7x
-5+9=4 Part a is 7x+4