Answer:
Slope: 
y-intercept: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
The slope can be found with the following formula:
In this case you can say that:
Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:
By definition, the line intersects the y-axis when the value of "x" is 0.
Notice in the table that when 
, 
Therefore, the y-intercept is:
Answer:
volume of the tank be when the sensor turns on = 92.316 ft³
Step-by-step explanation:
Volume of a cylinder = πr²h
Pi = π = 3.14
Radius = r = 7 ft
Height = h = 3 ft
Volume of a cylinder = πr²h
= 3.14 × 7² × 3
= 3.14 × 49 × 3
= 461.58 ft³
The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.
volume of the tank be when the sensor turns on = 20% of Volume of a cylinder
= 0.20 * 461.58 ft³
= 92.316 ft³
volume of the tank be when the sensor turns on = 92.316 ft³
Hello!!
= 6x^2 - 5x - 125
= x (6x - 5) - 125
= (6x + 25) (x - 5)
Good luck :)
The rate of change is simply the derivative of a function with respect to the other variable. In this case the rate of change with respect to x is desired. Therefore
f(x) = x^3 - 3x^2
f'(x) = 3x^2 - 6x
therefore the rate of change of y with respect to x is dy/dx = 3x^2 - 6x
