The correct graph is D.
We can tell this for two reasons. Firstly, you would need a dotted line. Since the equation includes a greater than sign, and not a greater than or equal to sign, it must be dotted.
Then we need to figure out whether to shade above or below the line. The best way to find this is by checking whether the point (0,0) should be shaded.
y + 2 > -3x - 3
0 + 2 > -3(0) - 3
2 > -3 (TRUE)
Since this is a true statement, the side with (0,0) needs to be shaded. Graph D is the only one that has a dotted line and (0,0) shaded.
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Answer:
x<-5 is the correct answer
There are 6 numbers in one die.
There are 2 numbers that are less than or equal to 2, they are 1 and 2
The probability of something happening is the number of chances / total number
The probability would be 2/6, which can be reduced to 1/3
Answer:
x = 3, y = 4 and z = -5.
Step-by-step explanation:
Use the elimination method:
-3x + 2y + z = -6...........(1)
x + 3y + 2z = 5..............(2)
4x + 4y + 3z = 13..........(3)
Multiply the first equation by -2:
6x - 4y - 2z = 12 Add this to equation (2):
7x - y = 17...........(4)
Now Multiply equation (2) by 3 and equation (3) by -2
3x + 9y + 6z = 15 ............(5)
-8x - 8y - 6z = -26............(6) Adding (5) + (6):
-5x + y = -11..........(7)
Now Add (7) and (4):
2x = 6
x = 3.
Now substitute for x in (4):
7(3) - y = 17
-y = 17 - 21 = -4
y = 4.
Finally substitute for x and y in equation (3) to find z:
4(3) + 4(4) +3z = 13
3z = 13 - 12 - 16 = -15
z = -5.
