Answer:
y<6
Step-by-step explanation:
1
/3
y + 1/4 > 3
/8y
1
/3
y + 1/4 − 3/
8
y >
3/
8
y − 3/
8
y
− 1
/24
y + 1
4 > 0
−1
/24
y + 1
/4 − 1/
4 > 0 − 1
/4
−1
/24
y > −1/
4
Multiply both sides by 24/(-1).
y<6
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Answer:the plane in still air is 904 km/h
the rate of the wind is 104 km/h
Step-by-step explanation:
Let x represent the rate or speed of the plane in still air.
Let y represent the rate or speed of the wind.
Flying against the wind, an airplane travels 4000 kilometers in 5 hours. This means that the total speed of the airplane would be (x - y) km/h
Distance = speed × time
Therefore
4000 = 5(x - y)
4000 = 5x - 5y - - - - - - - - -1
Flying with the wind, the same plane travels 5040 kilometers in 4 hours. This means that the total speed of the airplane would be (x + y) km/h. Therefore,
5040 = 4(x + y)
5040 = 4x + 4y - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 5, it becomes
16000 = 20x - 20y
20160 = 20x + 20y
Subtracting, it becomes
- 4160 = - 40y
y = - 4160/-40
y = 104
Substituting y = 104 into equation 1, it becomes
4000 = 5x - 5 × 104
4000 = 5x - 520
5x = 4000 + 520
5x = 4520
x = 4520/5 = 904
Answer:

Step-by-step explanation:
If the system contains
atoms, we can arrange
quanta of energy in
ways.

In this case,
.
Therefore,

which means that we can arrange 1 quanta of energy in 2 ways.

In this case,
.
Therefore,

which means that we can arrange 10 quanta of energy in 184 756 ways.

In this case,
.
Therefore, we obtain that the number of ways is

Additive Identity Property
Well first find the slope of the point
y=mx+b y=-1x+3
slope = -1
then put the problem in point slope form y - y1 = m (x-x1)
y + 3 = -1 (x+1) then solve for y=mx+b again
so y> 2x + 6 is the answer