Female students that participate: 51
male students that don’t: 30
Answer:

Step-by-step explanation:
I did this bfor. You have got to trust me.
First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:


We can calculate the equation of
p by using its slope and its point P: