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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Let the number = x.
48% of x = 108
(48/100)x = 108
x = 108 * 100 /48 = 225 use your calculator.
Answer is option C.
Answer:
Step-by-step explanation:
If that number is greater than 1, that means that the exponential equation represents growth. If that number is less than 1 but greater than 0, that means that the exponential equation represents decay. Since ours is greater than 1, our equation is exponential growth. It means that the perent of animals adopted grows at a rate of 145% per year, with a starting number of 28 animals in the first year.
The given expression is
And since we have x+2 common in numerator and denominator, there is a hole at x+2=0, that is at x=-2
And a function is undefined when denominator is zero. And at x=-6, denominator become zero.
So, at x=-6, the function is undefined, or there is a vertical asymptote at x=-6 and hole at x=-2 .
Answer:
2. option D and 3. option A
Step-by-step explanation:
2. 7 + y = 30
<u>7 - 7</u> + y = <u>30 - 7</u>
y = 23
3. w - 32 = 55
w <u>-</u><u> </u><u>32</u><u> </u><u>+</u><u> </u><u>32</u> = <u>55</u><u> </u><u>-</u><u> </u><u>32</u>
w = 87
Basically the answers you choose are right. Hope this helps, thank you :) !!
