Which of the following lists of ordered Pairs is a function?
1 answer:
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Answer:
Step-by-step explanation:
Let
x----> the length of the rectangular garden
y---> the width of the rectangular garden
we know that
The perimeter of the rectangle is equal to
we have
so
simplify
------> equation A
Remember that the area of rectangle is equal to
----> equation B
substitute equation A in equation B
----> this is a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the maximum area
The x-coordinate of the vertex is the length side of the rectangle that maximize the area
using a graphing tool
The vertex is the point
see the attached figure
so
Find the value of y
The garden is a square
the area is equal to
----> is equal to the y-coordinate of the vertex is correct
Answer:
<h2>They should make 8 small ones and 12 large ones.</h2><h2>$260 they will make in total.</h2>Step-by-step explanation:
They want to make as much money as possible.
Small bird house gives them $10 and large birdhouse give them $15.
Avery has time to decorate 12 birdhouse of either size.
Hence, to maximize the earning, Avery should build 12 large ones.
Sam can make any of the combination below in 24 hours.
4 Large and 1 small bird house, which will make
3 Large and 3 small bird house, which will make
2 Large and 4 small bird house, it will gain
1 Large and 6 small bird house, it will make
8 small bird house, which will gain
The profit will be maximize if Sam build 8 small bird houses.
Thus, they will make .