Acooking class needs minimum of 12 students to run. at this time 7 students have signed up for the class. write an inequality to represent the situation

Minimum number of students required for cooking class is 12.

Number of students who have signed up already = 7

Let us say x number of students are needed at this time for the class to start.

So we can say if we have x+7 students .

Writing the inequality:

So the above inequality represents this situation very well.

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

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step-by-step explanation: