If sounds travel 335 meters in 1 second , in 1 minute it travels 60 times that distance :
335m × 60 = 20100 meters
Sounds travel 20100 meters per minute
if 1000 meters = 1 km ,
20100 meters = 20100/1000 km
20100 meters = 20.1 Km
Awnser : Sound would travel 20.1 km in one minute
Find the equation of the inverse.
![y = {2}^{x + 5} - 6](https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206)
we have
![y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6](https://tex.z-dn.net/?f=y%3D%5Cmleft%5C%7B2%5Cmright%5C%7D%5E%7B%5Cmleft%5C%7Bx%2B5%5Cmright%5C%7D%7D-6)
step 1
Exchange the variables
x for y and y for x
![x=\{2\}^{\{y+5\}}-6](https://tex.z-dn.net/?f=x%3D%5C%7B2%5C%7D%5E%7B%5C%7By%2B5%5C%7D%7D-6)
step 2
Isolate the variable y
![(x+6)=2^{(y+5)}](https://tex.z-dn.net/?f=%28x%2B6%29%3D2%5E%7B%28y%2B5%29%7D)
apply log both sides
![\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Clog%20%28x%2B6%29%3D%28y%2B5%29%5Ccdot%5Clog%20%282%29%20%5C%5C%20y%2B5%3D%5Cfrac%7B%5Clog%20%28x%2B6%29%7D%7B%5Clog%20%282%29%7D%20%5C%5C%20%20%5C%5C%20y%3D%5Cfrac%7B%5Clog%28x%2B6%29%7D%7B%5Clog%282%29%7D-5%20%5Cend%7Bgathered%7D)
step 3
Let
![f^{(-1)}(x)=y](https://tex.z-dn.net/?f=f%5E%7B%28-1%29%7D%28x%29%3Dy)
therefore
the inverse function is
Answer:
x = 15
Explanation:
First, add both equations on one side, and set it equal to 180° because it's supplementary:
2x + 8 + 8x + 22 = 180
combine like terms:
10x + 30 = 180
subtract 30 on both sides of the equation and you end up with:
10x = 150
divide both sides by 10 and you get:
x = 15
Answer:
3.2
Step-by-step explanation:
12.8/4 which makes the answer 3.2
X>Y
X=7Y
3X=7+4Y
X=?
Y=?
----------------------------
3*7=7+4Y
21Y=7+4Y
21Y-4Y=7
17Y=7
Y=7/17
----------------------
X=7*7/17
X=49/17