Answer:
a.

b.

Step-by-step explanation:
a. From the information provided, we can deduce that the population death's follows a Geometric sequence in the form
where
and 
#Since the population is reducing,
can is obtained as 
#The
term is obtained using the formula
, given a=1200
The number of ants alive after every month (in first 4 months)

The ant's alive after 4 months is obtained as the value of 

Hence, 936 ants are alive after 4 months.
b. As with the above question, the kitten population follows a geometric sequence:
.
#Since it's a growing population , the common ration is the sum of 100% + the growth rate,
and
and 
The population after 4weeks will be:

Answer:
X1= -2 X2=6
Step-by-step explanation:
Answer:
Answer:
f(x) = - 4x + 4
Step-by-step explanation:
Step-by-step explanation:
A linear function has the form
f(x) = ax + b, thus
f(0) = a(0) + b = 4, that is
0 + b = 4 , hence b = 4
f(3) = 3a + b = - 8 ← substitute b = 4
3a + 4 = - 8 ( subtract 4 from both sides )
3a = - 12 ( divide both sides by 3 )
a = - 4, thus
f(x) = - 4x + 4
Answer:
24
Step-by-step explanation:
f(x)=x^2+2x
Let x= 4
f(4)=4^2+2*4
= 16 + 8
= 24