If A=38x-x^2 then
dA/dx=38-2x
d2A/dx2=-2
Since the acceleration, d2A/dx2 is a constant negative, when velocity, dA/dx=0, it will be an absolute maximum for A(x)
dA/dx=0 only when 38=2x, x=19
A(19)=38(19)-19^2
A(19)=722-361
A(19)=361 ft^2
So the maximum possible area is 361 ft^2
(This will always be true as the maximum possible area enclosed by a given amount of material will always be a perfect square...)
Answer:
C
Step-by-step explanation:
Express - 1 
as an improper fraction, that is
- 
x = 9 ( multiply both sides by 5 )
- 9x = 45 ( divide both sides by - 9 )
x = - 5 → C
Answer:
Solve for y in the second equation
Step-by-step explanation:
We assume your system is ...
Dividing <em>the </em><em>second equation</em> by 3 gives ...
-3x +y = 1
so an expression for y without fractions can be found by <em>solving for y</em>, that is, by adding 3x:
y = 3x +1
_____
<em>Comment on alternate solution</em>
We'd be tempted to solve the first equation for -9x and substitute for that.
-9x = 10 -4y
(10 -4y) +3y = 3 . . . . . substitute for -9x
-y = -7 . . . . . . . . . . . . . simplify, subtract 10
y = 7 . . . . . . . . . . . . . . multiply by -1
Given that the bacteria has been modeled by the function:
r(t)=(450.267)e^(1.12567t)
thus the number of bacteria after 3 hours will be:
r(3)=450.267e^(1.12567×3)
r(3)=13,185.20623
The number of bacteria after 3 hours will be:
13, 185.20623
Answer:
4/5
Step-by-step explanation:
This is because it is a fraction
