P SOMEONE HELP ME For a field trip 23 students rode in cars and the rest filled five buses. How many students were in each bus if 288 students were on the trip?

First, you start with the equation:

9

x

+

4

=

472

Since four students rode in cars, you want to eliminate this part of the problem to find how many students actually rode in the buses

So you would subtract

4

from both sides and get:

9

x

=

468

Finally, you would divide both sides by

9

and get

52

students on each bus

Step-by-step explanation: First, you start with the equation:

9

x

+

4

=

472

Since four students rode in cars, you want to eliminate this part of the problem to find how many students actually rode in the buses

So you would subtract

4

from both sides and get:

9

x

=

468

Finally, you would divide both sides by

9

and get

52

students on each bus

b.an increase in a causes b to decrease

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