Answer:
1st option
Step-by-step explanation:
Here we are trying to prove that not all fractions are less than 1. So we have to choose an example in which the fraction is more than 1.
1) 
This fraction is greater than 1 hence it can prove that the conjecture is false.
2) ½ is lesser than 1 and will not prove that the conjecture is false.
The recursive geometric sequence that models this situation is:


<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
It can be represented by a recursive sequence as follows:

With f(1) as the first term.
In this problem, the sequence is: 90.000: 81,000; 72,900; 65,610, hence:


Hence:


More can be learned about geometric sequences at brainly.com/question/11847927
Louise wants to factorize completely the given polynomial 
Grouping first, second terms together and third, fourth terms together
= 
Taking
common from first and second terms of the given expression and taking 5 common from the third and fourth terms.
=
Taking (x+3) common from the given expression,
=
is the completely factored form.
Answer:
66
Step-by-step explanation:
In this section we are going to see how knowledge of some fairly simple graphs can help us graph some more complicated graphs. Collectively the methods we’re going to be looking at in this section are called transformations.
Vertical Shifts
The first transformation we’ll look at is a vertical shift.