Step-by-step explanation:


To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the
variable when we add the two equations together.
Right now, there's a
term in the first equation, and a
term in the second equation, so if we add those together, we'll be able to eliminate the
variable altogether and solve for
.
However, when we also have a
term in the first equation and
term in the second equation, so adding these together will also eliminate the
term, leaving a
on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get
, which does not equal
, meaning there are no solutions to this system of equations.
Step-by-step explanation:
Well, this is a function. In order to solve this, you need a v value. Once you get a v value, you can plug into into 6+v^2 and wala- you get your answer.
Example, lets say
v is 3
then
F(3) = 6 + 3^2
f(3) = 6 + 9
f(3) =15
Hope this helped
Answer: A not a triangle
Step-by-step explanation:
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.
So you always want y in front of the equation no matter what so you have x +2y=5 so you take the x and you subtract it to both side making it 2y= 5-x so then you just have to take the 2 to both side so you have to divide it and you will get y= 5/2-x/2 so then to graph it you start with the b which is -x/2 so you go down -1 and over 2 and place your dot adn then go up 5 over 2 and then place you dot and connect them together