Differentiate the given solution:
Substitute 
and 
into the ODE:
and it's easy to see the left side indeed reduces to 0.
To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.
I will show you calculation for (5,-2)
plug into y>x
-2>5
which is clearly false.
plug into y<x+1
-2<5+1
or -2<6
which is also false.
hence (5,-2) is not in the solution.
Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.
Hence answer will be "No Solution from given choices".
1 litre = 1000 millilitres so 1200-200= 1000 millilitres left or 1 litre left
Answer:
x = 1
Step-by-step explanation:
Solve for x over the real numbers:
-1 + 2 + 1/x + 1/x = 3
-1 + 2 + 1/x + 1/x = 1 + 2/x:
1 + 2/x = 3
Bring 1 + 2/x together using the common denominator x:
(x + 2)/x = 3
Multiply both sides by x:
x + 2 = 3 x
Subtract 3 x + 2 from both sides:
-2 x = -2
Divide both sides by -2:
Answer: x = 1
First subtract -19 - 1 = -20
Next, + (-24) is the same as just simply subtracting 24
-20 - 24
Subtract that and you get -44
