Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.
Answer:
51.877 kg
Step-by-step explanation:
a
See attachment for calculations
b
The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have
t = 4 hours = 4 * 60 minutes = 240 minutes
y = 160/3 (1 - e^((-3 * 240)/200))
y = 160/3 (1 - e^(-720/200))
y = 160/3 (1 - 0.0273)
y = 160/3 (0.9727)
y = 51.877 kg
Therefore, the amount of salt in the tank after 4 hours is 51.877 kg
30 of the $3 tickets were sold
70 of the $2 tickets were sold.
(3*30) + (2*70) = 230
Answer:
Y=x^2-2x-8,x , x=r
To solve this problem you must apply the proccedure shown below:
1. You must apply the Law of Cosines, as you can see in the figure attached. Then:
- The first ship travels at
in for two hours. Therefore, the side
is:

- The second ship travels at
for
. Therefore, the side
is:

- Now, you can calculate
:

The answer is: 