7x−9y<5 −2x+4y>5 Is (3,5) a solution of the system?
1 answer:
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Answer:
The correct option is;
A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25
Please find attached the graphs of the table data
Step-by-step explanation:
Each of the given table data of in the tables are analysed to find direct variation;
Table 1
x, -3, -1, 2, 5, 10
y, -4.5, -3.0, -1.5, 0.0, 1.5
-4.5/-3 = 1.5 ≠ -3.0/-1 = 3
No direct variation
Table 2
x, -5.5, -4.5, -3.5, -2.5, -1.5
y, 10, 8, 6, 4, 2
10/(-5.5) = -20/11 ≠ 8/(-4.5) = -16/9
However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2
Adjusted direct variation
Table 3
x, -5.5, -5.5, -5.5, -5.5, -5.5
y, -3, -1, 2, 5 , 10
-3/(-5.5) ≠ -1/-5.5
No direct variation
Table 4
x, -3, -1, 2, 5, 10
y, -7.5, -2.5, 5.0 , 12.5, 25
-7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10
Direct variation exists
Answer:
the probability is 0.125
Step-by-step explanation:
The number of ways in which the mouse can move in the 4 turns is calculated using the rule of multiplication as:
<u> 2 </u>* <u> 2 </u> * <u> 2 </u>* <u> 2 </u> = 16
1st turn 2nd turn 3rd turn 4th turn
Because the mouse can take two options at every turn, right or left.
Now, from the 16 possibilities of movements, a mouse will find an exit in just two options:
1. right-right-left-left
2. left-right-right-left
So, the probability that a mouse will find an exit is:
Because, there are 16 possibilities and a mouse will find an exit using 2 of them.