(-4n^(2))* (5n^(7)):-20n to the power of 9
(2x)^(3)*(5x^(4 ))^(2): 200x to the power of 11
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
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Answer:
X=5.7
Step-by-step explanation:
5x-3-2x/7=24
We simplify the equation to the form, which is simple to understand
5x-3-2x/7=24
Simplifying:
5x-3-0.285714285714x=24
We move all terms containing x to the left and all other terms to the right.
+5x-0.285714285714x=+24+3
We simplify left and right side of the equation.
+4.71428571429x=+27
We divide both sides of the equation by 4.71428571429 to get x.
x=5.72727272727
Answer:
(1,4)
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
