Answer: 480 mL, 600 mL
Step-by-step explanation:
Given
The concentration of the first acid is 75%
The concentration of the second acid is 30%
The final mixture has a concentration of 50%
The final volume is 1080 mL
Suppose x and y be the volume of the first and second acid
Solving the above equations we get
So, the quantity of the first acid is 480 mL and 600 mL for the second mixture.
For a function to be continuous at an x-value, say -17, you need to make sure two things line up:
The limit from the left equals the limit from the right.
This limit equals the functions value.
The left hand limit involves the first piece, f(x) = 20x + 1:
The right hand limit invovles the second piece, f(x) = -10x^2:
Since the two one-sided limits don't match, the function is not continuous at x=-17.