Randy and molly are selling pies for a school fundraiser customers can buy blueberry pies and pumpkin pies brandy sold 6 blueberry pies and for pumpkin pies for a total of $106 molly sold 6 blueberry pies and 3 pumpkin pies for a total of $90 find the cost of each one blueberry pie and 1 pumpkin pie

One blueberry pie = $7

One pumpkin pie = $16

Step-by-step explanation:

Since there are two variables in this problem - the cost of blueberry pie and the cost of pumpkin pie, we can set up a system of equations to solve.  Since Brandy sold 6 blueberry pies and 4 pumpkin pies for $106, our first equation is:   6b + 4p = 106.

Molly sold 6 blueberry and 3 pumpkin for $90, so the second equation is: 6b + 3p = $90.

We can use elimination to add the two equations together and eliminate one variable while we solve for the other:

6b + 4p = 106

6b + 3p = 90

In order to eliminate a variable, you can multiply the first equation by -1:

-1(6b + 4p = 106) = -6b - 4p = -106

Add 6b + 3p = 90

-p = -16, so p = 16

Now, solve for b:  6b + 3(16) = 106 or 6b + 48 = 90

Subtract 48 from both sides:  6b + 48 - 48 = 90-48

Divide by 6:  6b/6 = 42/6

Solve for b: b = 7

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

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x