I need help with this problem
2 answers:
Answer:
(A)
Step-by-step explanation:
I good way to solve this is to test out each answer. We can do this by setting it equal to the expression given in the question.
Let start with (A). If is equivalent to (A) then we can say
And we can combine the two 's on the left side to make.
Now by expanding the right side we get
which is the same thing so there are both equal!
Now lets test (B). We start off by doing the same thing as (A) except with the equation for (B)
Now this doesn't look quite right, on the left side we have two 's but on the right we have four. This means our equation is unbalanced which means they are unequal! So it can't be (B)
So the only correct answer is (A)!
Hope this helps!
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Answer:
Answer:
52 Trees
Step-by-step explanation:
If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.
Yield = 85 X 80
Let x be the additional tree planted per acre.
For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.
Therefore, the yield:
Next, we maximize F(x) by taking its derivatives and solving for its critical point.
It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.
Therefore, number of trees per acre she should plant:
85+(-32.5)
=85-32.5
=52.5 Trees
Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.