Select the correct answer. A park ranger uses exponential functions to model the population of two species of butterflies in a state park.

The population of species A, x years from today, is modeled by function f.

f(x) = 1,400(0.70)x

The population of species B is modeled by function g, which has an initial value of 1,600 and increases by 20% per year.

Which statement correctly compares the functions modeling the two species?

A.
The population of species A is decreasing, and it had the greater initial population.
B.
The population of species A is decreasing, and it had the smaller initial population.
C.
The populations of both species are increasing, but the population of species A is growing at a faster rate than species B.
D.
The populations of both species are increasing, but the population of species B is growing at a faster rate than species A.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

positive

step-by-step explanation:

the quadrant is facing upwards

answer: the correct answer is -32

step-by-step explanation: