Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope- formula
m =
with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table
m = =
=
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, - 3 ) , then
- 3 = - 6 + c ⇒ c = - 3 + 6 = 3
The y- intercept c = 3 → D
The answer is:
The ball will hit the ground after
Since we are given a quadratic function, we can calculate the roots (zeroes) using the quadratic formula. We must take into consideration that we are talking about time, it means that we should only consider positive values.
So,
We are given the function:
Where,
Then, substituting it into the quadratic equation, we have:
Since negative time does not exists, the ball will hit the ground after:
Have a nice day!
Answer:
Explained and written below.
Step-by-step explanation:
(1) Define the decision variables.
Ans:- A decision variable is a quantity that the decision-maker controls. For Example:- In an optimization model for labor scheduling, the number of nurses to employ during the morning shift in an emergency room may be a Decision variable.
(2) Define the objective function in mathematical form.
Ans:-The objective function is a means to maximize (or minimize) Data. This data is a numeric value: in the real world it could be the cost of a project, a production quantity, profit value, or even materials saved from a streamlined process. With the objective function, you are trying to arrive at a target for output, profit, resource use, etc.
(3) Write the technical constraint functions.
Ans:-A technical constraint Could be anything that limits the deployment of electricity Generation by Heat.There are some technical constraints are specific for device and but not all. It could be anything that programmed to run the devices.
(4) Write the non-negativity constraint.
Ans:- &
are the non-negative constraint of linear inequality. These are included because x and y are usually the variables which cannot be negative. It could be zero but not less than 0. Example:- x and y can be number of production done by machine in a month and it can't be negative.