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: Question #1 The height of the tree is about 18 feet.
To solve this problem, you have to write a proportion using the similar triangles that are drawn. The height of the tree matches the height of the person and the shadows match.
Therefore, we can write and solve the following equation:
x/15 = 5.5/4.5
82.5 = 4.5x
x = 18.33
Answer:
The answer is...
Step-by-step explanation:
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S + a = 722
s = 72 + a
(72 + a) + a = 722
2a + 72 = 722
2a = 722 - 72
2a = 650
a = 650/2
a = 325 <== adults
s = 72 + a
s = 72 + 325
s = 397 <== students
Complete question :
Taylor earns $5 each time she walks her neighbor's dog. She has already earned $25. Write and solve an equation to find out how many more times Taylor needs to walk the dog to earn enough to buy a bike that costs $83.
Answer:
12
Step-by-step explanation:
Amount earned for walking dog = $5 per walk
Amount already earned = $25
How many more times dog needs to be walked to buy a bike which costs $83
Target amount = 83
(Target amount - already earned amount) / amount earned per Walk
(83 - 25) / 5
58 / 5
= 11.6
Hence, Taylor needs to walk her neighbor's dog 12 more times
