Answer:
The farmer should plant 14 additional trees, for maximum yield.
Step-by-step explanation:
Given
So, we have:
Required
The additional trees to be planted for maximum yield
The function is:
Open bracket
Rewrite as:
Differentiate
Equate to 0 and solve for x to get the maximum of x
Divide by -4
The farmer should plant 14 additional trees, for maximum yield.
By inspection 1 is a root of y ,
Hence , (x-1) is a factor of y ,
Hence , the 2 other roots are -1/2 and 3 , and the above graphs confirms the same.
Hope it helps you :)
Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given
Now we can just substitute; let x=4+y
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11
No because 3 x 4 = 12 and 8 x 4 ≠ 24
The area of the whole room = 14 × 18 = 252
Since they divide it by half, divide the are by 2.
252 ÷ 2 = 126
Answer = 126 ft²
Hope this helped☺☺
