Answer:
A. y = x^2 -6x + 13
Step-by-step explanation:
The parabola that opens up and has line of symmetry x=3 and a minimum at x=3 is

The reason is that, we can write this function in the vertex form to get;



Hence the line of symmetry is x=3 and the vertex is (3,4)
Answer:
please help help me me my question
Answer:
The mean is 41
Step-by-step explanation:
Here , we are interested in finding the mean.
Firstly, let the standard deviation be x and the mean be y.
We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.
Mathematically;
51 - 2(x) = y
y + 2x = 51 •••••••••(i)
We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36
Mathematically, that would be;
y-36 = x •••••••(ii)
Substitute ii into i directly;
We have
y + 2(y-36) = 51
y + 2y -72 = 51
3y -72 = 51
3y = 51 + 72
3y = 123
y = 123/3
y = 41
Answer:
x = -3
Step-by-step explanation:

I'm assuming those are two fractions being divided. I just write it out. It looks scary but it's really not. Just do this:
~=this is my dividing sign when not in fraction form cause I don't have an actual sign here.
9/14 ~ 5/12
Then you KCF(Keep, Change, Flip). Keep the first number the same. Change the dividing sign to multiplication. Then flip the last fraction so that it is now 12/5.
The problem now stands as:
9/14 • 12/5
Simplify and the you have your final answer. I recommend looking up the keep change flip video by flocabulary in case you haven't checked it out yet. It really helped me learn this method. Hope this helped!!
-Liananna