Answer:
The Number is -8.
Step-by-step explanation:
Let the number be x.
Now given:
A number decreased by twelve;
It means 12 is subtracted from the number.
Hence the equation can be framed as;
Also given;
twice the opposite of ten
Opposite of 10 = -10
Twice the opposite of 10 means 2 is multiplied with opposite of 10.
Hence twice the opposite of ten =
Now A number decreased by twelve is twice the opposite of ten
framing it in equation form we get;
Solving the above equation we get;
Hence the Number is -8.
Answer:
(3, 1)
Step-by-step explanation:
Given the following constraints:
2x + 4y ≤ 10
x + 9y ≤ 12
x ≥ 0
y ≥ 0
We have to first graph the above constraints and secondly, we find the boundary points for the feasible region. This is done by plotting the graphs of 2x + 4y ≤ 10 and x + 9y ≤ 12.
From the graph, the following points satisfy the constraints:
(0,0)
, (3,1)
, (0,4/3)
, (5,0)
Given that:
P = x + 6y
For (0, 0): P = x + 6y = 0 + 6(0) = 0
For (3, 1): P = x + 6y = 3 + 6(1) = 9
For (0, 4/3) P = x + 6y = 0 + 6(4/3) = 8
For (5, 0) P = x + 6y = 5 + 6(0) = 5
Answer:
180
Step-by-step explanation: