The function f(x)=70n -400 models the profit of the instructor of a guitar class per month, where n is the number of students enrolled in the class. how many students must be enrolled in the class for the instructor to make a profit? how many students must be enrolled in the class if the instructor needs to make 1,000.00 profit per month?

At least 6 students must be enrolled in the class for the instructor to make a profit.

At least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

Step-by-step explanation:

The function models the profit of the instructor of a guitar class per month.

1. If the instructor makes a profit, then

So, at least 6 students must be enrolled in the class for the instructor to make a profit.

2.  If the instructor needs to make 1,000.00 profit per month, then

So, at least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

may i see the picture? it would a lot, xox