Astudy of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. based on the results of this study, how many frogs in the population do not have spots on their back?

1120

Step-by-step explanation:

Given: Size of the population in the study = 1200

Also they revealed that 12 out of every 180 frogs in the population have spots on their back.

Thus we have fraction

Hence, of total frogs have spots.

Now,

Therefore, 80 out of 1200 frogs in the population have spots.

Thus, the number of frogs in the population do not have spots = 1200-80=1120

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.