Hannah finds purple, blue, and silver space rocks while exploring.
2
3
of the rocks are purple and
3
4
of the remainder are blue. If there are 3 silver rocks, how many space rocks does Hannah have?
Hannah has 36 space rocks total. How many more purple rocks does Hannah have than blue rocks?

She has 15 more purple rocks than blue.

Step-by-step explanation:

purple= 2/3 of all rocks

blue= 3/4 of all rocks that aren't purple

silver= 3 (or 1/4 of all rocks that aren't purple)

if 3 (silver) is 1/4 of all rocks that aren't purple, blue (3/4) is 3x3=9

if purple is 2/3 of all rocks, blue and silver are 1/3 of all rocks

so 1/3 of all rocks would be 9+3=12

if 1/3=12, then 2/3 (purple)=24

At this point:

purple=24

blue=9

silver=3

purple (24) - blue (9) =15

She has 15 more purple rocks than she does blue.

it is c, trust i got your back lol

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1