MATH EXTENSION-PROBLEM OF THE WEEK
Investigation 3: Concentration
Eight students are working with concentration of powdered-drink solutions. When it
comes time to taste their solutions, they realize they all have different amounts,
Student 1: 1/6L - 12
Student 2, 1/4L
Student 3: 1/3
2
Student 4, 1/2
Student 5: 11/12 L
Student 6: 3/4 L
Student 7; 5/6L-
Student 8: 1/4L:2
912
5
3
-12
43
1. How much solution do they have?
43
12 L
2. How can they distribute the solution equally?

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

to find the perimeter, you add up all the lengths of the sides. in this case you would have to add up 18+22+40+80 which equals 160.

in total they made   333.74 your welcome : d

if y=4x then you will substitute 4x in for y in the second equation.

8x + 4x = 18 combine like terms

12x = 18 divide by 12 on both sides

x = 18/12 or 3/2

now replace x in the first equation with 3/2 to get

y = 4 3/2

y = 6

the answer is a

(3/2,6)

hope that .

brainliest is always apprectiated