The solution of the system of equations means that following:
1- In case we are dealing with system of equations, the solution would be the point of intersection of the two graphs
2- In case we're dealing with only one equation, the solution would be the points of intersection of the graph with the x-axis
Graph (a):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that there is only one point of intersection between the two lines (-3,-1). Therefore, the system of equations has only one solution
Graph (b):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that the two lines are parallel. This means that they will never intersect. Therefore, the system of equations has no solutions
Graph (c):
The graph is for a single line. Therefore, the solution(s) would be the point(s) that make the overall equation equal to zero, i.e. point(s) of intersection with the x-axis.
From the graph, we can note that the line intersects with the x-axis only once at point (2,0). This means that the line has only one solution.
Hope this helps :)
Answer:
your answer is incorrect. The correct answer is 
and 
.
Step-by-step explanation:
If a quadratic function is 
and a>0, then minimum value of the function at point 
.
The given function is
Here, a=1, b=b and c=182. So.
Put 
in the given function to find the minimum value of the function.
We know that minimum value is 13. So,
Taking square root on both sides.
The value of b is 26.
So, the given function is
Now, add and subtract square of half of coefficient of x.
On comparing with 
, we get
Therefore, your answer is incorrect.
Answer:
(-1, -2.5)
Step-by-step explanation:
The midpoint formula is just basicallyadding both of the x values and then dividing the sum of them by 2, after that you will be adding both y values and then dividing them by 2, then you will get the midpoint x and y coordinate values. You can look up midpoint formula on google to see how it's actually written. You have to make sure to add correctly when you are using the negative numbers, because they can actually turn the equations into subtraction. Keep in mind, it can beconfusing sometimes when you are working with positive and negative numbers together. So make sure to just double check your work and also to make sure you added correctly.
<u><em>Brainliest please, I need a few more :D</em></u>
Answer:
1300
Step-by-step explanation:
The number in the place to the right of the hundreds place is 5, in the tens place. That digit is greater than 4, so the rounding is to the next higher hundred: 1300.
this is approximately 6 to 200
divide both by 2
3 to 100
3 to 10^2
3 out of 100
