Answer:
Option (D).
Step-by-step explanation:
If the graph of a relation has two output values for a single input value, relation will not be considered to be a function.
Option (A).
For the input values of x = -1, there are two output values, y = -1, 1.
Therefore, given relation is not a function.
Option (B).
Since, all the parabolas don't represent a function, given parabola in the graph is not a function.
Option (C).
Not a function. It's a relation.
Option (D).
Line plotted in the graph has a distinct output value for every input value.
Therefore, the given graph represents a linear function.
30+m= T for Total. umm sorry but I just have to have 20 characters to give you this answer
C. (2,3) The solution to the system of equations is where the two lines will intersect. looking at the graph that point is closest to C. (2,3)
I'm guessing the last value you have down there that got cut off was the one we want. We need to set up the general form of the absolute value equation and then solve it for a:
![y=a[x-h]+k](https://tex.z-dn.net/?f=y%3Da%5Bx-h%5D%2Bk)
. I have no absolute value symbols so I just used brackets. We have a vertex (h, k) of (0, 0) and I picked a point on the graph to use as my x and y coordinates (4, 3). Let's fill in the equation now:
![0=a[0-4]+3](https://tex.z-dn.net/?f=0%3Da%5B0-4%5D%2B3)
. We will subtract 3 from both sides leaving -3 = a[-4]. The absolute value of -4 is 4 so now we have -3 = 4a. Divide by 4 to solve for a.
. So our equation is
![y=- \frac{3}{4}[x]](https://tex.z-dn.net/?f=y%3D-%20%5Cfrac%7B3%7D%7B4%7D%5Bx%5D%20)
Answer:
y = 4x - 26
Step-by-step explanation:
The change in y is 4 when the change in x is 1.
So the slope is change in y/change in x = 4/1 = 4
y = mx + b
30 = 4(14) + b
30 = 56 + b
b = - 26
Therefore, y = 4x - 26
