SOLUTION: I really need help.. Im doing this assighnment and I can't find any resources that have similar problems or how to do them. My teachers examples don't cover any of this. (I will ha

Question 685906: I really need help.. Im doing this assighnment and I can't find any resources that have similar problems or how to do them. My teachers examples don't cover any of this. (I will have to learn this since I have a quiz and a final that includes it) But, I was wondering if someone could show me how to do them step by step...
Which of the following inequalities satisfies the following description: the region inside an ellipse centered at the origin, with x-intercepts at -2 and 2, and y-intercepts at 4 and -4?

Graph the solution set of the system of inequalities.
3x - 2y ≥ -6
x - 1 < 0
The graph shows the region of feasible solutions. Find the maximum or minimum value, as specified, of the objective function.
objective function = x - 4y; minimum
(I am pretty sure you have to have the graph for this one, so I will keep trying to learn this myself :S)

Provide an appropriate response.
Which one of the following is a description of the graph of the inequality?
(x - 7)2 + (y + 8)2 > 36
Answer
a.The region inside the circle with center (-7, 8) and radius 6
b.The region outside a circle with center (-7, 8) and radius 6
c.The region outside a circle with center (7, -8) and radius 6
d.The region inside a circle with center (7, -8) and radius 6

Graph the inequality.
(x - 4)2 + (y + 3)2 ≤ 4

This is out of 30 questions so I don't feel like I am asking to much, this is definitely not all of my homework so please don't think that. I don't understand how to graph these... etc.. PLEASE HELP.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Which of the following inequalities satisfies the following description: the region inside an ellipse centered at the origin, with x-intercepts at -2 and 2, and y-intercepts at 4 and -4?
----
Ans: x^2/4 + y^2/16 < 1
-------------------------------
Graph the solution set of the system of inequalities.
3x - 2y ≥ -6
x - 1 < 0
-----
y <= (3/2)x +3
x < 1
-------

The graph shows the region of feasible solutions. Find the maximum or minimum value, as specified, of the objective function.
objective function = x - 4y; minimum
(I am pretty sure you have to have the graph for this one, so I will keep trying to learn this myself :S)
---
Comment: Find the coordinates of each corner of the region of feasible
solution. Substitute each of the x/y pairs into x - 4y to find the
minimum.
------------------------
Provide an appropriate response.
Which one of the following is a description of the graph of the inequality?
(x - 7)2 + (y + 8)2 > 36
Answers ???
a.The region inside the circle with center (-7, 8) and radius 6
b.The region outside a circle with center (-7, 8) and radius 6
c.The region outside a circle with center (7, -8) and radius 6
d.The region inside a circle with center (7, -8) and radius 6
---
Center at (7,-8); region outside because of ">".
================
Graph the inequality.
(x - 4)^2 + (y + 3)^2 ≤ 4
----
Circle with center at (4,-3) and radius = sqrt(4) = 2
------
Shade the area inside the circle.
Graph is every point on the circle and inside the circle.
==================
Cheers,
Stan H.
===================

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