1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NemiM [27]
3 years ago
15

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

long the river. Write the function that will produce the largest area if x is the short side of the rectangle.
f(x) = 1200x − x2
My answer choice. Is this correct? ->f(x) = −2x2 + 1200x
f(x) = x2 − 1200
f(x) = 2x2 − 1200
Mathematics
2 answers:
scoray [572]3 years ago
8 0
You are correct.  It would be
f(x) = x(1200-2x) which equates to your selection.
iVinArrow [24]3 years ago
6 0
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
You might be interested in
A pot contains 25 ounces of soil. You use 4 1/4
Wewaii [24]

Answer: multiply 4 1/4 by 5 then see if you have enough .

Step-by-step explanation: multiply 4 1/4 by 5 because you have used 1 herb already so if you do that you could have enough in there to pot 5 .

6 0
3 years ago
Long-grain rice costs $0.72/lb. How much would 2.7 lb of long-grain rice cost?
sweet-ann [11.9K]
If $.72 per 1lb, then $x per 2.7lb, by using proportional property:

.72/1 = x/2.7      cross multiply

x = (.72)*(2.7) = $1.94
7 0
3 years ago
Read 2 more answers
Solve for x 2^x+6=2^5
solong [7]

Answer:

Stesksp-by-step explanation:

6 0
3 years ago
Solve using the appropriate formula. Substitute 3.14 for π. Hint: Circle: A = πr2 Find the area of a circle with a radius of 4 c
arsen [322]

Answer:

The area of a circle is [tex]\pir^{2}[\tex] and the radius is 4 so we have 16π and substituting 3.14 for pi we get 50.24 .

Hope this helps!

8 0
2 years ago
Read 2 more answers
PLEASE I NEED HELP!!!
pantera1 [17]

Answer:

below

Step-by-step explanation:

f(3)=2

f(20)=0

f(8)=4

f(0)=-1

if f(x)=9 then x=4

if f(x)=4 then x=8

f(x)=0 then x=20

7 0
3 years ago
Other questions:
  • It costs 4 tokens to park in a garage for an hour. how many hours can you park with 30 tokens?
    10·2 answers
  • Make sure to pick ALL and It needs To BE CoRRECt
    13·1 answer
  • Semielliptical Arch Bridge An arch for a bridge over a highway is in the form of half an ellipse. The top of the arch is 20 feet
    15·1 answer
  • Anyone happen to know this? Thanks .
    14·1 answer
  • Which of the following inverse functions are defined for x=-1/2? Select all that apply.
    10·1 answer
  • Please help and thank you
    12·2 answers
  • I need help on this question ​
    8·1 answer
  • (-7,-13)(0,-7) determine the slope given 2pts
    10·1 answer
  • The vertices of ABC are A(2, -3), B(-3,-5), and C(4,1). For each translation,
    7·1 answer
  • Divide and simplify. √128/8
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!