Answer:
third option
Step-by-step explanation:
Given
x² + 4x - 4 = 0 ( add 4 to both sides )
x² + 4x = 4
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 4 + 4, that is
(x + 2)² = 8 ( take the square root of both sides )
x + 2 = ± = ± 2
( subtract 2 from both sides )
x = - 2 ± 2
Answer:
See solutions for detail.
Step-by-step explanation:
a. is the instantaneous rate of change of volume given with respect to time, t.
The volume's rate of change is written as a function of time.
- is the rate of change in the height of water in the tank with respect to time, t.
b. is the only constant. Water flows into the constant at a constant rate, say
per minute.
c. is positive. Volume water in the take is increasing from time to time.
-The volume at time t=1 is greater than the volume at t=0, hence, it's a positive rate of change.
d. is a positive rate. The initial height of water in the tank is zero.
-The final height at time t is 0.25h. The height is increasing with time.
Hence, it is positive.
