Answer:
- f⁻¹(x) = (x + 1) / (x - 2)
- f⁻¹(1 ) = - 2
Step-by-step explanation:
<u>Given function:</u>
- f(x) = (2x + 1) / (x - 1)
<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>
- x = (2y + 1) / (y - 1)
- x(y - 1) = 2y + 1
- xy - x = 2y + 1
- xy - 2y = x + 1
- y(x - 2) = x + 1
- y = (x + 1) / (x - 2)
<u>Substitute y with f⁻¹(x):</u>
- f⁻¹(x) = (x + 1) / (x - 2)
<u>Find f⁻¹(1 ):</u>
- f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
Answer:
The answer to your question is 43.8 mL of acid.
Step-by-step explanation:
Data
Total volume = 362 ml
12.1 % is acid
The Volume of acid = ?
Process
1.- Use the rule of three and cross multiplication to solve this problem.
362 ml ------------------- 100%
x ------------------- 12.1 %
x = (12.1 x 362) / 100
x = 4380.2 / 100
x = 43.802 ml
2.- Round your answer to the nearest tenth.
43.802 only consider the first decimal
43.8 mL
3.- Conclusion
A 12.1% solution of acid has 43.8 mL of acid.
there isnt a list of options given but should be something like
38 + 35 + 22 = 22 + 35 + 38
or maybe
38r + 35t + 22l = 22l + 35t + 38r
it equals 95
Given:
Capacity of jet plane = 200,000 liters of fuel
Fuel used during flight = 130,000 liters
To find:
The percentage of the fuel capacity it uses on this flight.
Solution:
According to the question, we need to find 130,000 is what percent of 200,000.
Therefore, the jet plane uses 65 percent of fuel capacity during flight.
