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:
100 +3s≥ 160
You must sell as least 20 items
Step-by-step explanation:
You make 100 plus 3 dollars per sale
100 +3s
It must be at least 160
100 +3s≥ 160
Now we need to solve to see how many sales
100 +3s≥ 160
Subtract 100 from each side
100-100 +3s≥ 160-100
3s≥ 60
Divide each side by 3
3s/3≥60/3
s≥20
You must sell as least 20 items
Answer: please help me with this, I will do whatever you want but please help me please!
Step-by-step explanation:
Vol=area x Height
length= 3
breadth= X
Height = 2
area must = half of 42 because to get the volume of 42cm cubed, you had to times the area by 2 so
42 devided by 2 is 21 so to find the length you myst do 21 devided by 3 which is 7
so the missing length is 7cm