Which of the following is equal to 2?
2 answers:
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Answer:
Small gift: $2
Large gift: $7
Step-by-step explanation:
Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.
We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.
We can represent this information in an equation as:
We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Therefore, cost to wrap a large gift is $7.
Upon substituting in equation
, we will get:
Therefore, cost to wrap a small gift is $2.
Answer:
Where 0 < x < 3
The location of the local minimum, is (2, 0)
The location of the local maximum is at (0, 16)
Step-by-step explanation:
The given function is f(x) = (x + 2)⁴
The range of the minimum = 0 < x < 3
At a local minimum/maximum values, we have;
∴ (-x + 2)³ = 0
x = 2
When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2
We have, f(2) = (-2 + 2)⁴ = 0
The location of the local minimum, is (2, 0)
Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3
When x = 0, -x + 2 = 0 + 2 = 2
Similarly, we have;
-x + 2 = 1, when x = 1
-x + 2 = 0, when x = 2
-x + 2 = -1, when x = 3
Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16
The location of the local maximum is at (0, 16).