Answer:
Check photo below.
Step-by-step explanation:
Answer:
It is true for all x.
Step-by-step explanation:
3(x + 1) = 3x + 3
3x + 3 = 3x + 3
3x = 3x + 3 - 3
3x = 3x
0 = 0
It is true for all x. It means that it can be any solution for x since they would result the same.
If you choose x = -8
3 (-8 + 1) = 3(-8) + 3
-24 + 3 = -24 + 3
-21 = -21
Answer:
1440 different arrangements are possible.
Step-by-step explanation:
Number of arrangements of n elements:
The number of arrangements of n elements is given by:
![A_{n} = n!](https://tex.z-dn.net/?f=A_%7Bn%7D%20%3D%20n%21)
In this question:
6 couples, in which each can be positioned in 2 ways(him/her or her/him). So
![T = 2A_{6} = 2*6! = 1440](https://tex.z-dn.net/?f=T%20%3D%202A_%7B6%7D%20%3D%202%2A6%21%20%3D%201440)
1440 different arrangements are possible.
H = hour
A = 60 + (25h) = ?
B = 120 + (20h) = ?
60 hours because 28 hours for company A x 25 dollars = 700 + starting fee is 60
28 x 25 = 700 + 60 = 760
32 hours for company B x 20 dollars = 640 + starting fee is 120
32 x 20 = 640 + 120 = 760
32 hours + 28 hours = 60 hours all together. It takes 60 hours cost the same
A= 25 x 7 + 60 = 235
25 x 7 = 175 + 60 = 235
B = 20 x 7 + 120 = 260
20 x 7 = 140 + 120 = 260
235 < 260
The cheaper one is A with 235