The ordered pair which makes both inequalities true is: D. (3, 0).
<h3>How to determine ordered pair?</h3>
In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.
In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:
At (0, 0), we have:
y > -2x + 3
0 > -2(0) + 3
0 > 3 (false).
y < x – 2
0 < 0 - 2
0 < -2 (false)
At (0, -1), we have:
y > -2x + 3
-1 > -2(0) + 3
-1 > 3 (false).
y < x – 2
-1 < 0 - 2
-1 < -2 (false)
At (1, 1), we have:
y > -2x + 3
1 > -2(1) + 3
1 > -1 (true).
y < x – 2
1 < 1 - 2
1 < -1 (false)
At (3, 0), we have:
y > -2x + 3
0 > -2(3) + 3
0 > -3 (true).
y < x – 2
0 < 3 - 2
0 < 1 (true).
Read more on inequalities here: brainly.com/question/24372553
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Answer:
22.35 m/s
Step-by-step explanation:
The distance is always a positive unit, so distance traveled (d) = 15 miles
Time (t) = 0.3 hours
Time (t) = 0.3 * 60 = 18 minutes
(1 hour = 60 minutes)
Velocity (v) = ?
The formula of distance is: d = v*t
=> v = d/t = 15/18 = 0.83 miles/minute
we can also calculate velocity is meter/sec, for that
1 minute = 60 sec
=> 18 mins = 18*60 = 1080 sec
1 mile = 1609.34 meters
=> 15 miles = 15 * 1609.34 = 24,140 m
hence,
v = 24,140/1080 = 22.35 m/s
Answer:
$38-
Step-by-step explanation:
15% = $57
57 ÷ 3 = 19%
15 ÷ 3 = 5
100 ÷ 5 = 20
19% × 20 = $380
Answer:
E. 19
Step-by-step explanation:
z = (5)(11)(2·2·7)(2·19)
z = 2³·5·7·11·19
The greatest prime factor is 19.
