Answer:
a 75x+165=y
b 75(3)+165=390
c 75x is the cost increasing for each hour
d y-intercept=165, it cost at least 165 for the parts
Step-by-step explanation:
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.
Answer:
157.07963
Step-by-step explanation:
2πr²
2π(5)²
2π(25)
50π
157.07963
the number not located between √9/3 and 2π on the number line is π/9 (option C)
Explanation:
We need to find the numbers between √9/3 and 2π
(√9)/3 = 3/3 = 1
using π as 3.14
2π = 2(3.14) = 6.28
Now we need to check the options for numbers that do not fall between 1 and 6.28:
a) π = 3.14
This number falls between 1 and 6.28
b) √9 = 3
This number falls between 1 and 6.28
c) π/9 = 3.14/9 = 0.35 (approximately)
This number doesnot fall between 1 and 6.28
d) π²/9 = (3.14)²/9 = 1.10 (approximately)
This number falls between 1 and 6.28
Hence, the number not located between √9/3 and 2π on the number line is π/9 (option C)
