Step-by-step explanation:
everything can be found in the picture
Answer:
(2b-3)²
Step-by-step explanation:
The square of a binomial is ...
(p - q)² = p² - 2pq + q²
The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.
For p² = 4b², p=2b.
For q² = 9, q = 3.
Then 2pq = 2(2b)(3) = 12b.
So, the factoring is ...
4b² -12b +9 = (2b -3)²
This is a geometric sequence because each term is a constant multiple, called the common ratio, of the previous term. In this case the common ratio, noted as "r", is:
8/-2=-32/8=128/-32=r=-4
The first term is -2
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.
Since we know r and a for this problem already we can say:
a(n)=-2(-4)^(n-1)
Answer:
c < 4
Step-by-step explanation:
whenever you divide or multiply an inequality by a negative it is a rule that you must reverse the inequality symbol
so -c > -4 means you must divide or multiply by a negative one to get 'c' by itself; therefore it becomes c < 4
