Given:
The system of inequalities is:
To find:
The graph of the given system of inequalities.
Solution:
We have,
The related equations are:
Table of values for the given equations is:
0 1 -3
3 0 3
Plot (0,1) and (3,0) and connect them by a straight line to get the graph of .
Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of .
The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.
Therefore, the graph of the given system of inequalities is shown below.
8 gorrilas
Explanation:
The ratio of monkeys to gorrila = 5:2
This means there are 5 monkeys for every 2 gorrilas
when there are 20 monkeys,
let the number of gorrilas = x
5 monkeys = 2 gorrilas
20 monkeys = x
cross multiply:
5(x) = 20(2)
5x = 40
divide both sides by 5:
5x/5 = 40/5
x = 8
Hence, if there were 20 monkeys, we would have 8 gorrilas.
You need to use the Pythagorean theorem for this. Take the square root of (48^2 + 36^2). This will give you the length of the diagonal.
48^2 + 36^2 = 3600
Remember we need to take the square root of 3600, which is just 60.
The length of the diagonal is 60 inches.
5n(n^2+n+7)-3n(n^2+2n)
<span>5n^3+5n^2+35n-3n^3-6n^2 </span>
<span>2n^3-n^2+35n </span>
<span>n(2n^2-n+35)</span>
(3, 62)
Since that second equation is equal to y, you can substitute the entire thing into the top equation, getting rid of the y and solving for x. It equals 3.
You can then plug 3 in for x on either equation, which should be 62.
