Answer and Step-by-step explanation: The graph is shown in the attachment.
a. ΔR on [1,2] is mathematically expressed as:
ΔR = R(2) - R(1)
which means difference of population of rabbits after 2 months and after 1 month.
R(2) = 
![\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]](https://tex.z-dn.net/?f=%5CDelta%20R%20%3D%20100%5B%5Cfrac%7B4%7D%7B5%7D%20-%20%5Cfrac%7B2%7D%7B5%7D%20%5D)
40
Difference of rabbits between first and second months is 40.
b. R(0) = 100(
)
R(0) = 0
Initially, there no rabbits in the population.
c. R(10) = 
R(10) = 400
In 10 months, there will be 400 rabbits.
d. R(t) = 500
t = 12.5
In 12 and half months, population of rabbits will be 500.
Given:
Point A with coordinates: (4, 2) is in the first quadrant.
The point is translated to the rule (x, y) --> (x+1, y-5)
Now, point A becomes (4+1, 2-5) = (5, -3) which is now in quadrant 4.
The point is reflected across the y-axis. Now, it is in the third quadrant.
So legnt=l
width=w
l=-7+3w
l=3w-7
area=66
area=legnth times width or
area=lw
subisutte
area=lw
l=3w-7
66=(3w-7)(w)
66=3w^2-7w
subtrac 66 from both sides
0=3w^2-7w-66
factor
HOW TO
multiply 3 and -66=-198
find what 2 numbers add up to -7 and multiply to get -198
the numbers area 11 and -18
so
3w^2-18w+11w-66=0
factor
(3w^2-18w)+(11w-66)=0
(3w)(w-6)+(11)(w-6)=0
factor using distributive (ab+ac=a(b+c))
(3w+11)(w-6)=0
set them to zero
3w+11=0
subtract 11
3w=-11
legnths cannot be negative so we discard this
w-6=0
add 6
w=6
width=6
legnth=3w-7
length=3(6)-7
legnt=18-7
legnth=11
width=6
legnth=11
Sorry I needed points for an important quiz
