Answer:
look below
Step-by-step explanation:
y = 2 (x + 3)^2 - 2
Geometric figure: parabola
Alternate forms:
y = 2 (x + 2) (x + 4)
y = 2 (x^2 + 6 x + 8)
-2 x^2 - 12 x + y - 16 = 0
Expanded form:
y = 2 x^2 + 12 x + 16
Roots:
x = -4
x = -2
<u>Properties as a real function:
</u>
Domain
- R (all real numbers)
Range
- {y element R : y>=-2}
Partial derivatives:
d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)
d/dy(2 (x + 3)^2 - 2) = 0
Implicit derivatives:
(dx(y))/(dy) = 1/(12 + 4 x)
(dy(x))/(dx) = 4 (3 + x)
Global minimum:
min{2 (x + 3)^2 - 2} = -2 at x = -3
The team lost n games.
The team won 8 more games than it lost, so it won n + 8.
The total number of games the team played was n + n + 8, or 2n + 8.
The team played a total of 24 games, so
2n + 8 = 24
We now solve for n.
2n + 8 = 24
2n = 16
n = 8 (lost games)
n + 8 = 8 + 8 = 16 (won games)
Answer: The team won 16 games and lost 8 games.
1 chip is $10
So, for 79 chips,
= 79 x $10
= $790
Answer:
The magnitude of the claimed earthquake would be 13.67.
Step-by-step explanation:
The 1906 earthquake had a intensity of A and a magnitude of 7.8.
S is going to have the same value, so i am going to write as 1. So:



Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco.
So 
So

The magnitude of the claimed earthquake would be 13.67.