g(x) = (1/4)x^2 . correct option C) .
<u>Step-by-step explanation:</u>
Here we have ,
and we need to find g(x) from the graph . Let's find out:
We have ,
. From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !
A . g(x) = (1/4x)^2
Putting (2,1) in equation g(x) = (x/4)^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
B . g(x) = 4x^2
Putting (2,1) in equation g(x) = 4x^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
C . g(x) = (1/4)x^2
Putting (2,1) in equation g(x) = (1/4)x^2 , we get :
⇒ 
⇒ 
Hence , right equation !
D . g(x) = (1/2)x^2
Putting (2,1) in equation g(x) = (1/2)x^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
Therefore , g(x) = (1/4)x^2 . correct option C) .
Step-by-step explanation:
the slope of a line is always the factor of x.
here : 1/2
it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.
a perpendicular slope puts x and y upside-down and flips the sign.
here : -2/1 = -2
so, the equation looks like
y = -2x + b
b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :
-1 = -2×-2 + b
-1 = 4 + b
b = -5
the full equation is therefore
y = -2x - 5
Answer:
it's d
Step-by-step explanation:
multiply 0.31 by the amount of minutes used (27) and add the flat fee to it.
0.31×27+(0.57)= 8.94
the answer is D. 24, do to station 2
I'm not really sure what I'm looking at... is it possible for you to take a better picture so I can look at the diagram if there is one + the rest of the steps?