Answer:
the answer is b i thinkk.
Answer:
x= 6 1/2 or 6.5
Step-by-step explanation:
4^x-5 =8
2^2(x-5) =2^3
since the base is equal, the powers are equal
2(x-5) = 3
2x - 10 = 3
2x = 3 + 10
2x = 13
2x/2 = 13/2
x = 6 1/2 or 6.5
Answer:
2/12
Step-by-step explanation:
You have to divide 2/3 by 4 which is the same as multiply 2/3 with 1/4.
This will give you 2/12
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