Chase and his brother like to play basketball a month ago they decided to keep track of how many games they each one as of today chase has won 18 out of 30 games against his brother how many games would chase have to win in a row in order to have a 75% winning record

If chase won the next 18 matches then he will be able to get a 75% winning record.

Step-by-step explanation:

Let the no. of games chase has to win be 'y'.

He has won 18 matches out of 30.

If he won y matches more he will have a 75% winning record.

To find the percentage we should calculate,

   % = (no. Of matches won) x 100/ (total no. of matches)

As the no. of matches won increases, the total no. of matches also increases.

So y should be added to the matches won and also to the total no. of matches played.

[(18+y) /(30+y) ] x 100 = 75%

[(18+y) (100) ] = 75(30+y)

1800 + 100y = 2250 + 75y

100y - 75y = 2250 - 1800

25y = 450

y = 18

So if chase won next 18 matches then he will be able to get a 75% winning record

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

if you need just tell me and i will come to the rescue.

step-by-step explanation: