With vertex at 0,0 and including point 12, -18 it obviously opens downward (dome shaped)
Vertex form parabola
y = a (x-0)^2 + 0
y = a x^2 sub in 12 , -18
-18 = a (12^2)
a = -18/144 = - 1/8
y = -1/8 x^2
Initially there is 5 R out of total 13
5/13 choose a repub
now there is 4 out of 12 R left
4 /12 choose a R
now there is 3 outof 11 R left
3/11 choose R
5/13 * 4/12 * 3/11 = ............
Re-arrange into y = mx + b form where m = slope
y = 7/3 x -7 slope = 7/3
Circumference of a round pizza = pi * d
this pizza circumference = 6 pi inches ( or is that 6 'pie' ? Haha)
= 18.85 in
EACH time you have a 5 out of 10 chance of picking a striper
5/10 * 5/10 =
1/2 * 1/2 = 1/4
There are 180o in the sum of internal triangle angles
isosceles has two angle =
65 + 65 + a = 180 solve for ao
(1 - 1/2 - 1/5 )/(3) the '3' represents C D and E
(10/10 - 5/10 - 2/10)/3
3/10 / 3 = 3/30 = 1/10 paid by each of C D and E
Right triangle sin of an angle = opposites side/ hypotenuse
so the sin 23 = AC/29
then 29 sin 23o = AC (use a calculator)
Look at the graph high point maximum point y = ~ 290 crates/hr with 4 workers (the 'x' value)
y = -2x+10 is a line in y = mx+b form where m = slope = -2
parallel line will have same slope....so only the first choice is one that has -2 slope
but as a check , put in x = -6 and y = 4 to see if it is true !