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
expeople1 [14]
3 years ago
15

A farmer finds that if she plants 75 trees per acre, each tree will yield 20 bushels of fruit. she estimates that for each addit

ional tree planted per acre, the yield of each tree will decrease by 3 bushels. how many trees should she plant per acre to maximize her harvest?
Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

= 50 trees

Step-by-step explanation:

Let F be the number of fruit per acre  

F = (75 + x) × (20 - 3x)  

F = 75 × 20 - 75 * 3x + 75 × x - 3x^2  

F = 1500 - 225 x + 75x - 3x^2  

F = 1500 - 150x - 3x^2  

Factor out the 3 and complete the square (because this is a quadratic equation, we're going to find the vertex of the parabola):  

F = -3x^2 - 150x + 1500

F = -3 * (x^2 + 50x - 500)  

F = -3 * (x^2 + 2 * 25x + 25^2 - 25^2 - 500)  

F = -3 * ((x + 25)^2 - 500 - 625)  

F = -3 * ((x + 25)^2 - 625)  

F = -3 * (x + 25)^2 + 3375  

So the vertex is at (-25 , 3375)  

75 - 25 = 50  

The farmer should plant 50 trees per acre to maximize her yield

You might be interested in
Mai bought a television for $330 the tax rate is 8% what is he total amount mai paid for the television
tamaranim1 [39]

Answer:

he total amount Mai paid for the television is $356.40

Step-by-step explanation:

Explanation: 330*1.08=356.4

4 0
3 years ago
Read 2 more answers
Translate the verbal phrase into an algebraic expression. Simplify the expression.
adoni [48]
X(x+6)
hope that helps :)
7 0
3 years ago
If 6x=9y find the value of x:y.​
Ad libitum [116K]

Answer:

A complete angle is one which measures 360∘360∘.

The three angles

6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘

add up to 360∘360∘, as per the question.

6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘

⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘

⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘

⟹2x+3y+z=90∘⟹2x+3y+z=90∘

This is the required relation.

7 0
3 years ago
A bicycle tire has a diameter of 28 inches . How many inches would it take for the bicycle to make one complete rotation?
worty [1.4K]

Answer:

2 hours

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do you solve this equation?<br><br> 5-3z-18= z-1+ 8z<br><br> Thanks
rodikova [14]
5-3z-18=z-1+8z
Add like terms
-13-3z=9z-1
Move terms
-12z=12
Divide both sides by 12
z=1
3 0
3 years ago
Read 2 more answers
Other questions:
  • Help!!!!!!!!!!!!!!!!
    6·1 answer
  • What is the whole number that is equal to 8/2
    15·2 answers
  • NEED ANSWER FAST PLSSS
    11·2 answers
  • IF you answer the question, Give me an explanation the question.
    8·1 answer
  • What is the value is a 42=8a
    6·2 answers
  • As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o
    11·1 answer
  • I have 20 pairs in my closet and 12 pairs are sneakers. What percentage of the shoes are pairs of sneakers?
    7·1 answer
  • PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • (h-9)(-6)<br><br><br> ............
    7·1 answer
  • What is answer for 1.88 x 10 to the seventh power
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!