Answer:
(2,0)
Step-by-step explanation:
The solution of the inequality is shown in attached diagram.
The boundary line is dotted line, because the sign of inequality is without notion "or equal to". The dotted line means that points lying on this line are not solutions of the inequality. The solutions are those points lying in the shaded region.
From the points (0,2), (2,0), (1,-2), (-2,1) only point (2,0) lies on the shaded region, so only point (2,0) is a solution to the inequality
Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:
The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:
So, we have the following system
If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?
I am going to write y as a function of x in 1), and replace in 2). So:
means that
Now, going back to 1:
He should plant 100 acres of corn and 400 acres of wheat.
Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
If a line passes through two points and
, then the equation of line is
From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is
All area above the solid line is shaded. It means the sign of inequality is ≥.
From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is
All area below the dashed line is shaded. It means the sign of inequality is <.
System of inequality is
Therefore, the correct option is D.
