Answers:
- Domain is (-4, 3]
- Range is (-5, 5]
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Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that 
. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
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The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is 
. This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer:
243 students' favorite color is red
Step-by-step explanation:
if 55% of the students said their favorite color was blue, then 45% chose that red was their favorite color
we can get 45% of 540 using a cross-multiplication equation
45% is 45/100
45/100 is to ?/540
the (?) represents the value of students who chose red as their favorite color (we do not know this but we can figure it out using cross-multiplication)
45 times 540 is 24300
24300/100 = 243.
Give brainliest, please!
hope this helps :)
Answer:
2/3
Step-by-step explanation:
Let x be the number of books that Millicent has. So the number of books that Harold has is x/2. And the number of book that Harold is bringing to the new home is (x/2)/3 = x/6.
The home has enough room for another half of Millicent's books, which is x/2. So the total books capacity of the new home is
Since x is also the number of books in Millicent's old library capacity, we can conclude that the fraction of Millicent's old library capacity to the new home's library capacity is 2/3, or 2 thirds
First, we are going to find the painted area of his house. We know that the total area he needs to paint is 4000 square meters, so 4000 is the area of this house. Now, to find the 62.5% of that area, we are going to multiply it by
:
Painted area=
Now, to find <span>rate, in square feet per hour, we are going to divide the painted area by the number of hours:
Rate=</span>
We can conclude that Kyler paints at a rate of
434.78 square feet per hour.
welll i kinda don get ur question but ummmm if u say like the graetest number then 48
