Helena lost her marbles. but then she found them and put them in 4 bags with m marbles in each bag. she had 3 marbles left over that didn't fit in the bags. how many marbles does helena have in all?

Helena has marbles in all.

Step-by-step explanation:

Let the total number of marbles be denoted by 'm'.

Helena found them and put them in 4 bags with m marbles in each bag.

Total marbles in 4 bags become =

Now, she had 3 marbles left over that didn't fit in the bags.

That gives total marbles as =

We can solve this using an example.

Suppose Helena had 15 marbles in total.

She divides these in 4 bags, plus 3 extra.

Now, m = 3

So, putting the value of m as 3 in equation we get,

=

= 15

Therefore, we can say that Helena has

marbles in all.

europa2433

europa2433

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