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.
Let's convert the problem into Arithmetic progression:
It would be: 5, 9, 13, ....
Here, a = 5, d = 9 - 5 = 4
We know, S(n) = n/2 [ 2a + (n-1)d ]
Substitute the known values,
434 = n/2 [ 2(5) + (n - 1)4 ]
434 * 2 = n [ 10 + 4n - 4 ]
868 = 10n + 4n² - 4n
= 4n² + 6n - 868 = 0
d = b² - 4ac
d = 6² - 4(4)(-868)
d = 36+13888
d = 13924
Now, roots = -b +- √d / 2a
= (-6 + √13924) / 2(4) OR (-6 - √13924) / 2(4)
= (-6 + 118) / 8 OR (-6 - 118) / 8
= 112/8 OR -124/8
= 14 OR -15.5
As number of sticks can't be in negative/decimal or fraction form, -15.5 would be fully rejected.
In short, Your Answer would be 14 [ Remaining root ]
Hope this helps!
Answer:
C, (6,4)
Step-by-step explanation:
The points (x,y) that lie on the line must fit into the equation correctly. So, we can test out the 4 options to see whether they fit correctly into the equation.
A:
y-4
= -4 -4 = -8
-2(x-6)
= -2 (-6-6)
= 24
Since -8≠24, so A is incorrect.
B:
y -4 = -6-4 = -10
-2(x-6) = -2 (-4-6) = 20
-10≠20, so B is incorrect.
C:
y-4 = 4 -4 = 0
-2(x-6) = -2(6-6) = 0
Both sides are equal. C is correct.
But lets test D out too.
y-4 = 6-4 = 2
-2(x-6) = -2(4-6) = 4
2≠4, so D is incorrect.
Answer:
B and C
Step-by-step explanation:
It is going down
