Explain how you can use a quick picture to find 3 x 2.7

Mathematics

2 answers:

Nat2105 [25]3 years ago

8 0

3 x 2.7 is the same as 3 x 3 x 0.9 = 9 x 0.9 = 8.1

oksian1 [2.3K]3 years ago

4 0

You can also multiply like a normal number and add the decimal place
2.7×3. 27×3=81. and add the decimal point so 8.1

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A farmer has 1,200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence a

iVinArrow [24]

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

6 0

3 years ago

Read 2 more answers

What is the solution (a, c) to this system of linear equations?

weeeeeb [17]

This is how you do it :) let me know if you have any questions. Hope this helps :)