Answer:
19 ft by 38 feets
Step-by-step explanation:
Given that :
Available fencing = 76 feets
Rectangular fencing with 3 sides
Let the 3 sides be :
x, x, y
x + x + y = 2x + y = 76
y = 76 - 2x
Area = x * y = xy
Area = (76 - 2x) * x
Area = 76x - 2x²
Take derivative of Area with respect to x ; dA
dA /dx = 76 - 4x = 0
76 - 4x = 0
-4x = - 76
x = 76 / 4
x = 19
2x + y = 76
2(19) + y = 76
38 + y = 76
y = 76 - 38
y = 38
Hence, dimension : 19feet by 38 feets
Answer:
The graph of this piece-wise function is attached below.
Step-by-step explanation:
Given the function
- A piece-wise function is a function which has multiple pieces.
- Each of the pieces have their own restrictions.
- The domain of a function is the set of input, or x, values for which the function is defined.
- The range is the set of all values taken by the function
As the piece
has the domain [-5, 3) and graph of this piece is attached below.
and
has the domain [3, 7) and graph of this piece is attached below.
So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval
.
i.e.
Domain: [-5, 3) U [3, 7)
Range: ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D)
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
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Slope is equal to rise over run. In this case there is a point at (0,-5), and (12,3). The change in the y is positive 8, and x positive 12. Because of the slope formula change in y over change in x, you could write this as 8/12, or 2/3. The equation would then be
y=2/3x-5
Answer:
Yep
Step-by-step explanation:
Seems legit to me at least
Answer:
what
Step-by-step explanation: