19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
brainly.com/question/12120831
#SPJ1
Answer:
I attached a picture of the completed picture below.
The values given to you in the picture are shown in pink
Use those values to fill in the rest, which are shown in blue.
Answer:
Measure of angle XCY is 60°.
Step-by-step explanation:
"Measure of all inscribed angles by the same arc in one segment of the circle are equal"
Using this property in the given circle,
m∠XWY = m∠XCY
60x = 61x - 1
61x - 60x = 1
x = 1
By substituting the value of 'x' in the measure of ∠XCY,
m∠XCY = 61x - 1
= 61(1) - 1
= 61 - 1
= 60°
Therefore, measure of angle XCY is 60°.
When completing the square <span>x=9.12311 and </span><span>x=<span>0.876894</span></span>
