Answer:
B)
Step-by-step explanation:
Given f(x) = ( 7 - 8x )²
let f(x) be y,
y = ( 7 - 8x )² .............to find inverse we have to make x the subject.
±√y = 7 - 8x
-8x = √y - 7
x = (±√y - 7 ) / -8
Then,
Inverse of ( 7 - 8x )² is
and is a function.
Answer:
75 semanas
Step-by-step explanation:
15,000 = 200s
15,000/200 = s
75 = s
Answer:
The solution of the exponential equation
is
x = 2.996
Step-by-step explanation:
To solve the exponential equation ![4e^{x} = 80](https://tex.z-dn.net/?f=4e%5E%7Bx%7D%20%3D%2080)
First, we will isolate
by dividing both sides of the equation by 4, so that we get
![\frac{4e^{x}}{4} = \frac{80}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4e%5E%7Bx%7D%7D%7B4%7D%20%20%3D%20%5Cfrac%7B80%7D%7B4%7D)
![e^{x} = 20](https://tex.z-dn.net/?f=e%5E%7Bx%7D%20%3D%2020)
Now, we will take the ln of both sides of the equation to get
![ln(e^{x}) =ln(20)](https://tex.z-dn.net/?f=ln%28e%5E%7Bx%7D%29%20%3Dln%2820%29)
(NOTE:
)
Then,
![x =ln(20)](https://tex.z-dn.net/?f=x%20%3Dln%2820%29)
![x = 2.9957](https://tex.z-dn.net/?f=x%20%3D%202.9957)
∴ x = 2.996 (to three decimal places)
Hence, the solution of the exponential equation
is
x = 2.996
The answers is A
Explanation ;)