Find the vertex of y=x^2-2x+3

y = x^2 - 2x + 3

The vertex has x component which is the solution of equation:

     y' = 0

<=>2x - 2 = 0

<=> x = 1

Substitute x = 1 back into original equation y = x^2 - 2x + 3, then

y = 1^2 - 2*1 + 3 = 1 - 2 + 3 = 2

=> Vertex(1, 2)

Hope this helps!

:)

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.