Students in a school agreed to buy a trophy that would be presented to the winning soccer team. Before the trophy was purchased, 10 students left the school, and this meant that all other students had to pay an extra dollar. It was then decided that 15 students who did not play soccer should not contribute to the cost of the trophy. This resulted in the remaining students' cost increasing another $2 each. If the trophy cost $n, in which range is n?

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

$12. that is my answer.