Given:
The system of inequalities is:
To find:
The graph of the given system of inequalities.
Solution:
We have,
The related equations are:
Table of values for the given equations is:
0 1 -3
3 0 3
Plot (0,1) and (3,0) and connect them by a straight line to get the graph of .
Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of .
The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.
Therefore, the graph of the given system of inequalities is shown below.
You would do 29.85 ÷ 3 which equals 9.95. You would do the in verse operation. Hope I helped you.
Answer:
Step-by-step explanation:
From the given information,
Suppose
X represents the Desktop computer
Y represents the DVD Player
Z represents the Two Cars
Given that:
n(X)=275
n(Y)=455
n(Z)=405
n(XUY)=145
n(YUZ)=195
n(XUZ)=110
n((XUYUZ))=265
n(X ∩ Y ∩ Z) = 1000-265
n(X ∩ Y ∩ Z) = 735
n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)
145 = 275+455 - n(X ∩ Y)
n(X ∩ Y) = 585
n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)
195 = 455+405-n(Y ∩ Z)
n(Y ∩ Z) = 665
n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)
110 = 275+405-n(X ∩ Z)
n(X ∩ Z) = 570
a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)
n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735
n(X ∪ Y ∪ Z) = 50
c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)
n(X ∪ Y ∪ C') = 145-50
n(X ∪ Y ∪ C') = 95
Answer:
what
Step-by-step explanation:
Answer:
(-1, -2.5)
Step-by-step explanation:
(3, 0) is the midpoint between (2, 2) and (4, -2)
(-5, -5) (3, 0) the midpoint between these two points is
(-5 + 3) / 2 = -1, (-5 + 0) / 2 = -2.5
