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:
56
Step-by-step explanation:
After inserting the given values, u + xy becomes (2) + (9)(6), or 2 + 54, or 56.
B. Plug in the numbers and use common sense.
<span>16 + 306 = 1400x
322 = 1400x
x = 322/1400
</span><span>x = 0.23 = 23% (That is the concentration of the mixture)</span><span>Equation:
sugar + sugar = sugar
0.02*8 + 0.51*6 = x(8+6)
Multiply thru by 100 to get:
-----
2*8 + 51*6 = 1400x
</span>
