Answer:
32
Step-by-step explanation:
let number=b
twice a number=2b
Condition:
2b+13=75
2b=75-13
2b=62
b=62/2
b=31
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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>
-Opens down
-Maximum
-Y int (0,3)
-Axis of symmetry x=0
-vertex (0,3)
-(2,3) (-2,-3)
V= 3.14r^2h
10/2= r
5^2= 25
(3.14)(25)(6)
V=471
Answer: y = 
<u>Step-by-step explanation:</u>
y = ax² ; where a represents the vertical stretch
a reflection across the x-axis is represented by making the a-value negative.