<h2>
Hello!</h2>
The answer is:
The answer is the fourth option,

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Why?</h2>
Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.
We are given the piecewise function:

There, we know that:
We should use the first expression if the value to evaluate is less than -2.
So, for this case, the function will be:

We should use the second expression if the value to evaluate is greater or equal than 2.
So, for this case, the function will be:

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

So, evaluating the function we have:



Hence, we have that the answer is the fourth option,

Have a nice day!
It’s C since it is open and x is less than 2. We can plug in any number on the number line to see if this makes sense.
Answer:
The width of the rectangular room =x= 8
Step-by-step explanation:
Given: A rectangular room is twice as long as it is wide, and its perimeter is 48 meters.
To find: The width of the room.
Solution: Let the width of the rectangular room= x meters, then the length of the rectangular room will be = 2x.
Now, Perimeter of rectangular room=2(l+b)
⇒48=2(2x+x)
⇒24=3x
⇒x=8 meters
Then, the width of the rectangular room =x= 8 meters and the breadth of the rectangular room=2x=2(8)=16 meters.
Answer:
Hyperbola
Step-by-step explanation:

Lets write variables in square form using completing the square method
LEts group x and y terms

y^2 terms should be positive always, so we pull out negative sign from y^2

We have negative sign in the middle. so we will get equation in the form of

If we have negative sign in the middle then it is an hyperbola