Answer:
<em><u>A.10000</u></em>
<em><u>B.25 more trees must be planted</u></em>
Step-by-step explanation:
⇒Given:
- The intial average yield per acre
= 150
- The initial number of trees per acre
= 100
- For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
- Total yield = (number of trees per acre)
(average yield per acre)
<em>A.</em>
⇒If the total trees per acre is doubled , which means :
total number of trees per acre
=
= 200
the yield will decrease by :
- 

⇒total yield = 
<em>B.</em>
⇒to maximize the yield ,
let's take the number of trees per acre to be 100+y ;
and thus the average yield per acre = 150 - y;
total yield = 
this is a quadratic equation. this can be rewritten as ,
⇒ 
In this equation , the total yield becomes maximum when y=25;
<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>
Answer:
8ac+3b-7a
Step-by-step explanation:
2ac+6ac+4b-b-7a=
Answer:
x = 6
Step-by-step explanation:
we can multiply the entire equation by 3 to simplify the numbers
-2x + 27 = 4x - 9
27 = 6x - 9
36 = 6x
x = 6
Answer:
1 second
Step-by-step explanation:
y = -16x² + 32x
y = -16(x² - 2x)
y = -16(x² - 2(x)(1) + 1² - 1²)
y = -16(x - 1)² + 16
Max height is when (x-1) = 0
So x = 1