An ordered pair which makes both inequalities true is (-1, -3).
<h3>What is an ordered pair?</h3>
An ordered pair is a pair of two points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.
Next, we would test the ordered pair with the given system of inequalities in order to determine which is true.
For ordered pair (-3, 5), we have:
y < –x + 1
5 < -(-3) + 1
5 < 3 + 1
5 < 4 (False).
For ordered pair (-2, 2), we have:
y < –x + 1
2 < -(-2) + 1
2 < 2 + 1
2 < 3 (True).
y > x
2 > -2 (True)
For ordered pair (-1, -3), we have:
y < –x + 1
-3 < -(-1) + 1
-3 < 1 + 1
-3 < 2 (True).
y > x
-3 > -1 (False)
For ordered pair (0, -1), we have:
y < –x + 1
-(-1) < -(0) + 1
1 < 1
1 < 1 (False).
y > x
-1 > 0 (False)
Read more on inequality here: brainly.com/question/27166555
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Answer:
Anything that does not cost more than $2,560.00
Step-by-step explanation:
Provided that Nikita is spending money that she had invested and the amount she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?
It is a problem of simple interest:
Here the principal amount (P) = $2,000.00
Interest rate (r) = 4%
Time period (t) = 7 years
So, total amount that she would get by the end of 7 years is:
Plugging the values we get:
So the interest collected over 7 years is $560.00
Therefore, the total amount after 7 years is:
If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.
If I put this into an equation it would look like 2x+2= 66. 66-2= 64. You do this because to get x you have to reverse the equation, but you have to do the number not connected to x first. Then 2x= 64. So you divide 64 by 2 which is 32. So Jordan is 32 years old. Hope this helped!
Answer:
(-∞,∞)
Step-by-step explanation:
It wants expanded form and the distributive property (something like 2(5+6b), so I would think it wants something like 7(200+50+6). This way, you're multiplying 7 by each expanded part of the number, which you would do anyway when solving like normal. Please correct me if I'm wrong!
