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
I need help with this
DedPeter [7]

I remember some of this from 6th grade!
a.) the 7th graders have a smaller range compared to the 8th graders.
c.) 30 and 18 are the medians. Subtract them and you get 12.
Hope I could help partially
6 0
3 years ago
Can anyone help me find the value pls?
Flauer [41]

The inside angle for B, which is labeled x is the same as the outside angle of D which is labeled as 72, so we know x = 72.

In a parallelogram two angles next to each other equal 180, so angle A and angle B equal 180.

We know B = 72, so A = 180-72 = 108

Angle A is divided in 2 by angle y, so y = 108/2 = 54

Answers: x = 72

Y = 54

4 0
2 years ago
What is the measure of angle R?
jolli1 [7]

The answer is m∠R = 48.59 °

5 0
2 years ago
Dans un magasin de sport, une paire de chaussures coûte 69,30 €, après une remise de 30 %. Quel était le prix initial (avant la
galben [10]

Answer:

€99

Step-by-step explanation:

The computation of the original price (before the rebate)  of this pair of shoes is shown below:

Given that

The cost of pair of shoes is € 69.30 i.e. after 30% discount

So, the original price would be

= € 69.30 × 100 ÷ 0.70

= €99

The € 69.30 shows the 70% value according to this we determine 100% value

3 0
2 years ago
Eli has saved $48.50. Eli's brother borrowed 1/10 of Eli's savings. How much money does Eli have left?
zimovet [89]

Answer:

$43.65

Step-by-step explanation:

1. divide 48.50 by 10

4.85

2. subtract 4.85 from 48.50

3. your answer would be $43.65

5 0
2 years ago
Read 2 more answers
Other questions:
  • Solve the equation below for y<br><br> 5<br> — y =12<br> 6
    8·1 answer
  • What does the Angle-Angle Criterion tell you about the relationship between two triangles? Use the drop-down menus to explain yo
    6·1 answer
  • Harold took 5 hours to paint 3 same-sized walls. If he works at the same rate, how long will it take him to paint 18 walls of th
    7·2 answers
  • Write an expression that can be used to find how many inches are in six 1/2 inches can you answer fast cause I really need this
    8·1 answer
  • In one year, Dolores and Tom’s four children saved $420 by recycling cans. When they divided the money equally, how much money d
    12·2 answers
  • Which distribution is likely to have a mean higher than the median?
    13·1 answer
  • What is the value of the expression 6y-12 when y=5<br><br><br> Plz help
    7·1 answer
  • Taking a test rn need help​
    5·2 answers
  • PLEASE PLEASE HELPPPP
    12·1 answer
  • If(2x,x+y)=(y,9)find x and y.<br>​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!