18*(1/3) (or one third of eighteen) = 6 dogs
It rotates 180 degrees because its like 90 +90+180
180+90=270
Replace f(x) with 0 and swith the equation around to solve for x
x^4 - 32x^2 - 144 = 0
Factor the left side:
(x+6) (x-6) (x^2+4)
so far we have x+6 = 0, x = -6
x -6 = 0, x = 6
solve x^2 +4 = 0
x^2 = -4
x = sqrt(-4)
x = 2i, -21
The answer is B) 2i, 6, -6
The final population of the flies is equal to the growth rate minus the number of flies consumed by the spiders. That is,
final population = 6(3^x) - (4x + 1)
Substituting 2 to the x of the equation above,
final population = 6(3²) - (4(2) + 1) = 45
Thus, the final population of the flies would be 45.