Ten granola bars and 12 bottles of water cost $23. five granola bars and four bottles of water cost $10. how much do one granola bar and one bottle of water cost?

The cost of one granola bar is

The cost of one bottle of water is

Step-by-step explanation:

Let

x------> the cost of one granola bar

y-----> the cost of one bottle of water

we know that

-----> equation A

-----> equation B  

using a graphing tool

Solve the system of equations

Remember that

The solution of the system of equations is equal to the intersection point both graphs

The intersection point is

see the attached figure

therefore

The cost of one granola bar is

The cost of one bottle of water is

answer: f true

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