Answer:
-42
Step-by-step explanation:
1. 4(-2)
2. 3(-8)
3. -8 + -10 + -24
4. cobine like terms
5. -42
Answer:
x=3
Step-by-step explanation:
Answer:B:72
Step-by-step explanation:
Because you are doing multiplication and division in this problem
Answer:
Both buses will arrive at the stop at 6:52 AM
Step-by-step explanation:
Wilkenson Bus = Arrives every 21 minutes
Harris Road Bus = Arrives every 15 minutes
Let's find the Least Common Multiple (LCM) of 21 and 15. LCM is found, listing the prime factors of each numbers and then multiplying each factor the greatest number of times it occurs in either numbers:
LCM 21 = 3 × 7
LCM 15 = 3 × 5
LCM (21 , 15) = 3 × 7 × 5 = 105
In 105 minutes both buses will arrive at the same time again
105 minutes = 1 h 45 min
5:07 AM + 1h 45 min = 6:52 AM
Answer:
Value of 
is 8.
Step-by-step explanation:
Given function,
![f(x)=\big[\frac{x}{2}\big]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D)
we have to find :
It is known that,
![[x]](https://tex.z-dn.net/?f=%5Bx%5D)
=the greatest integer <=x
Then,
![\implies x=f^{-1}(\big[\frac{x}{2}\big])](https://tex.z-dn.net/?f=%5Cimplies%20x%3Df%5E%7B-1%7D%28%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D%29)
Taking x=8 we get,
![f^{-1}(\big[\frac{x}{2}\big])=x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D%29%3Dx)
![\implies f^{-1}(\big[\frac{8}{2}\big])=8](https://tex.z-dn.net/?f=%5Cimplies%20f%5E%7B-1%7D%28%5Cbig%5B%5Cfrac%7B8%7D%7B2%7D%5Cbig%5D%29%3D8)
![\implies f^{-1}([4])=8](https://tex.z-dn.net/?f=%5Cimplies%20f%5E%7B-1%7D%28%5B4%5D%29%3D8)
( Since [4]=4 )
Hence the value of is 8.
