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 ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D)
.
i.e.
Domain: [-5, 3) U [3, 7)
Range:
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
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Answer:
d. 132
Step-by-step explanation:
12 + 8 x 15
do 8 x 15 first because PEMDAS
12 + 120
132
The surface area of a cylindrical can is equal to the sum of the area of two circles and the body of the cylinder: 2πr2 + 2πrh. volume is equal to π<span>r2h.
V = </span>π<span>r2h = 128 pi
r2h = 128
h = 128/r2
A = </span><span>2πr2 + 2πrh
</span>A = 2πr2 + 2πr*(<span>128/r2)
</span>A = 2πr2 + 256 <span>π / r
</span><span>
the optimum dimensions is determined by taking the first derivative and equating to zero.
dA = 4 </span>πr - 256 <span>π /r2 = 0
r = 4 cm
h = 8 cm
</span><span>
</span>
Answer:
<h3>105m²</h3>
Step-by-step explanation:
AREA=
=105m²
The length of the radius of circle o is 18 cm.
<h2>
</h2><h2>
Given that</h2>
Circle o has a circumference of 36π cm.
<h3>
We have to determine</h3>
What is the length of the radius, r?
<h3>According to the question</h3>
Circle o has a circumference of 36π cm.
The length of the radius of the circle is determined by the following formula;
Substitute all the values in the formula;
Hence, the length of the radius of circle o is 18 cm.
To know more about Circumference click the link given below.
brainly.com/question/4268218
