Let's take a look at each term separately.
15a^2b^2:
15 has factors 1, 3, 5, 15
a x a
b x b
-24ab
-24 has factors 1, 2, 3, 4, 6, 8, 12, 24
a
b
Now, we can see what each of these terms has in common. Both have a 3 in their factor lists, as well as one a and one b.
Therefore, the greatest common factor is 3ab.
Hope this helps!! :)
ANSWER
Domain: All real numbers
Range:
EXPLANATION
The given function is
To find the domain and range of the given function, we complete the square.
The vertex is at (1,2).
The given function is a polynomial and all polynomial functions are defined everywhere.
The domain is all real numbers.
The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.
The range is
Subtract 60 from both sides to cancel it out. Now you have 5w=-8. Now divide 5 from both sides to cancel that out. Now you have w=-1.6.
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Cloning vectors are the DNA molecules that can carry a foreign DNA segment into the the host cell.The vectors used in recombinant DNA technology can be plasmids, cosmids, bacteriophages etc.
Plasmids: Self replicating, circular, extra chromosomal DNA present in bacteria. Plasmids have only one or two copies per cell.
Bacteriophages: Virus infecting bacteria. Bacteriophages have high number per cell, so their copy number is also high in genome.
Cosmids: Hybrid vectors derived from plasmids which contain cos site of lambda phage.
Feature required to facilitate cloning into vector: Origin of replication, Selectable marker, unique restriction sites.
The purpose of cloning vector is often to make numerous copies of the inserted gene.
Expression Vectors: The cloning vector containing suitable expression signals to have maximum gene expression, is called expression vector.
The following expression signals are introduced into gene cloned vectors to get maximum expression:
Insertion of a strong promoter.
Insertion of a strong termination codon.
Adjustment of distance between promoter and cloned gene.
Insertion of transcription termination sequence.
Insertion of a strong translation initiation sequence.
