Answer:
<em>Addition Property of Equality</em>
Step-by-step explanation:
<u>System of Equations</u>
When two equations are given and two variables are unknown in both equations, then we can solve the system in several ways.
One method consists in adding both equations term by term and eliminate one of the variables. That property is called the addition of equalities. Let's consider the equations given in the problem:
If we add both equations, we have
Simplifying
By adding both equations we managed to eliminate the variable y and could easily find the value of x
Answer: Addition Property of Equality
Answer:
There was an 11% increase.
Step-by-step explanation:
The formula to find a percent increase is this: (original amount - new amount / original amount) * 100
If you fill in the formula, you get this:
(164,000 - 182,040 / 164,000) * 100
Solve:
(-18,040 / 164,000) * 100 ---> If the number being divided is negative, find the absolute value.
(18,040 / 164,000) * 100 =
0.11 * 100
11%
Answer:
(x,y)=(0,7.333)
Step-by-step explanation:
We are required to:
Maximize p = x + 2y subject to
- x + 3y ≤ 22
- 2x + y ≤ 14
- x ≥ 0, y ≥ 0.
The graph of the lines are plotted and attached below.
From the graph, the vertices of the feasible region are:
At (0,7.333), p=0+2(7.333)=14.666
At (4,6), p=4+2(6)=4+12=16
At (0,0), p=0
At (7,0), p=7+2(0)=7
Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).
At x=0 and y=7.333, the function p is maximized.
Answer:
y=-2/5x-2
Step-by-step explanation:
First, you put x to the other side of the equation so you get y alone, getting the equation of -5y=-2x+10. In order to just have y on one side, you need to divide the whole equation by -5. This leads to the final answer of y=-2/5x-2.
The answer would be choice a they are both functions
