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: Seth is travelling at 63.047mi/hr
Step-by-step explanation: First convert 57.1 seconds to hours.
1 hour is equal to 3600s so multiply 57.1sec by 1hr/3600s to get 0.0158 hr
The formula for speed distance over time. v=d/t
v= 1mi/0.0158hr
v= 63.047mi/hr
The opooste angles are equal
so
4y-8=79+y
minus y both sides
3y-8=79
add 8 both sides
3y=87
diide both sides by 3
y=29
Nansbdjs and uiaishdwueu828
<span>x + 3y= -11 (1)
</span><span>-9y = 33 + 3x ---->3x + 9y = -33 (2)
divide (2) equation by 2
</span>3x + 9y = -33
x + 3y = -11 (2')
and equation (1) is also x + 3y= -11 (1)
so
x + 3y= -11 (1)
x + 3y= -11 (2')
---------------------subtract
0 = 0
answer:
infinitely many solutions
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