Answer:
y ≥ 3x - 1
y < 
Step-by-step explanation:
Let the equation of the solid line passing through (x', y') given in graph is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of the solid line =
m = 
m = 3
y - intercept 'b' = -1
Therefore, equation of the line will be,
y = 3x - 1
Since, shaded (blue) area is above the line, inequality that will represent the solution area will be,
y ≥ 3x - 1
For the dotted line,
Slope of the line (m) = 
= 
= 
y-intercept (b) = 2
Equation of the dotted line → y =
Since, shaded (grey color) area is below the dotted line,
Inequality representing the solution area will be,
y <
Answer:
b. between $3.04 and $3.36
Step-by-step explanation:
Given,
Price of 1 gallon of gasoline = $3.20
Margin of Error = 5%
We have to find out average cost of gallon of gasoline.
For this, we have to find out 5% of the price of gasoline. Which is calculated by dividing 5 by 100 and then multiply it by 3.20.
Amount of margin of error = 
Hence The margin of error is ±, So we will subtract the amount of margin of error with actual amount of 1 gallon of gasoline. Also we will add the amount of margin of error with actual amount of 1 gallon of gasoline.
Margin of error 1 = 
Margin of error 2 = 
Hence the Average cost of a gallon of gasoline should be between $3.04 and $3.36.
Answer: Graph C is correct
Step-by-step explanation:
The region below the dashed red line is y < 4/3x +2
The region below the solid purple line is y ≤ -1
The region below and left of the solid green line is y ≤ -3x
Answer:
hope this might be useful
Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
