Given:
The graph of an inequality.
To find:
The inequality in slope intercept form.
Solution:
The slope intercept form is:
Where, m is slope and b is y-intercept.
From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).
From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".
Therefore, the required inequality is .
Answer:
The answer is below
Step-by-step explanation:
a) The maximum capacity of he tank is 6 L and initially it contains 11 mg of salt dissolved in 3 L of water. Solution enters the tank at a rate of 3 L/hr, therefore in x hours, the amount of water that have entered the tank = 3x.
Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x
Hence the amount of water present in the tank at x hours is given as:
3 + 3x - 2x = 3 + x
The time taken to full the tank can be gotten from:
3 + x = 6
x = 6 - 3
x = 3 hr
b)
8 mg/ 6 L = 4/3 mg/L