Garcia has 1 more than four times the number of marbles than quincy has. the difference in the amount of marbles is 19

Okay so we probably have to find the amount of marbles grace OR quincy has ( you didnt say specifically)

Step-by-step explanation:

Lets say the amount of marbles quincy has is x. Grace has 1 more than four times x, which looks like this:

4x + 1

Then they state that the difference in the amount of marbles they have is 19. So now it looks like this:

4x + 1 + 19   ( We do plus 19 because if the difference in marbles is 19, that means grace has 19 MORE than quincy

Now we have completed the equation. All we have to do is solve:

4x + 1 + 19

4x  = 20

4x / 4 = 20 / 4

x = 5

Now to re - check our solution to see make sure its correct, we substitute it back into the original equation :

x = 5

4(5) + 1 + 19  =

40

So garcia has 21 marbles, and quincy has 5.

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

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step-by-step explanation: