If there were 12 teams in a football conference, how many games would the conference commissioner have to schedule each year to make sure every team played each other 1 time?

66 matches.

Step-by-step explanation:

We have been given that there were 12 teams in a football conference. We are asked to find the number of games that conference commissioner have to schedule each year to make sure every team played each other 1 time.

We will use formula to solve our given problem, where n represents number of total teams.

Total number of teams will be multiplied by one less than total number of teams because any team can not play with themselves.

We will divide the product by 2 so that match between two teams is not counted twice.

Therefore, the conference commissioner have to schedule 66 matches each year to make sure every team played each other 1 time.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

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