Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
Answer:
3
Step-by-step explanation:
Range is finding the difference between the biggest number(3) and the smallest number(0). 3-0=3
Answer:
A coordinate grid that shows a point located halfway between 3 and 4 units to the right and 1 unit down from the origin
Step-by-step explanation:
In a coordinate grid, the y axis is plotted on the vertical axis and the x axis is plotted on the horizontal axis. A is plotted on a coordinate grid at (
) i.e (
). Above the origin is the positive y axis, below the origin is the negative y axis, right of the origin is the positive x axis and left of the origin is the negative x axis.
To plot A on the coordinate axis we need to locate
on the x axis and -1 on the y axis.
is halfway between 3 and 4, since the x coordinate is positive it is located to the right between 3 and 4 and since the y coordinate is negative it is located 1 unit down from the origin.
-2 / 1/4
If you are dividing you have to switch 1/4 to 4/1
-2/1 / 4/1
= -8
Hope this helped