Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet
we need to find the max area
but with 3 sides
area=LW
let's say the sides are z and y
zy=area
and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other
(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y
at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max
then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600
so then
z=600
y=300
300<600
so the shorter side would be y
so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others
so ya, you are right
Answer:
Step-by-step explanation:
bobby
1.375 I believe, but I am not exactly sure.
Answer:
b
Step-by-step explanation:
The respiratory system basically help us breathe.
Answer:x = 12
Step-by-step explanation:
The equation One-half x + 3 = two-thirds x + 1 is expressed as
x/2 + 3 = 2x/3 + 1
The first step would be to to find the lowest common multiple of the left hand side of the equation and the right hand side of the equation and multiply the left hand side of the equation and the right hand side of the equation by the lowest common multiple. The lowest common multiple is 6. Therefore,
x/2 × 6 + 3 × 6 = 2x/3 × 6 + 1 × 6
3x + 18 = 4x + 6
4x + 6 = 3x + 18
Subtracting 3x and 6 from the left hand side of the equation and the right hand side of the equation, it becomes
4x - 3x + 6 - 6 = 3x - 3x + 18 - 6
x = 12
