78 students are separated into groups of eight for a field trip how many groups are there the remaining students form a smaller group of how many students

There will be 9 groups of 8 and 1 group of 6.

Step-by-step explanation:

78/8 = 9.75

This means there will be 9 groups of 8.

The .75 represents the smaller group.

The smaller group consists of 6 people.

You can find the amount of people from .75 x 8, which equals 6.

hiking down a winding trail.

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