How does the remainder of P(x)/x-a=Q(x)+R/x-a compare to R/x-a

What does the remainder of this division represent?

consider the function

(2x^2+x-1)/(x^2-2x-3)

Find

Asymptotes

Point of Discontinuity

Domain 

Range

Sources of mutation:

1. prolonged skin exposure to UV rays

2. mother is a carrier of sex-linked trait

3. homologuous chromosmes fail to seperate during meiosis

4. dna polymerase adds incorrect nucleotide during interphase of mitosis

identify whether the sources of mutations listed above are somatic cell mutation or germ line mutation. 

1. somatic cell mutation

2. germ line muation

types of muations:

sources of mutation: a,b,c,d

Some processes involved in DNA replication

1. the replication origin is identified

2.DNA primase builds RNA primer

3. Okazaki fragments are spliced by DNA ligase

4. Helicase bind and uncoil the DNA double helix

5. RNA primer is the starting point for DNA polymerase

6. DNA replication ends at the telomere where DNA codes for termination

7. DNA polymerase adds complementary nucleotides in the 5' to 3' direction in short segments called Okazaki fragments

The sequence in which the events numbered above occur during DNA replication of the lagging strand is

Hi there, i really need help with this question please get back with me. Thank you 

On a reality TV show Last Man Standing, a package is thrown from a plane to the ocean below. The contestants must swim to the package to receive the "free pass" located inside the package. The path that the package follows can be modelled by the quadratic functino d(t)= -4.9t²+10t+1200, where d represents the distance, in metres, that the package travels and t is the time in seconds. How long will it take for the package to reach the water?

Recombination frequency question. The recombinant frequency of two genes A and B located on the same chromosome is 38%. Parents heterozygous for genes A and B were test crossed, and 250 offspring resulted. How many of the offspring would have the parental genotypes ofr A and B?

I was told that you have to use this formula : recombination frequency= # of recombinant types / total number of offspring x 100%. I did this. I went 0.38= # of recombinant types / 250 offsprings x 100%. i got rid off the 100% to get 0.38 i took 0.38 x 250 i ogt 95. is my answer correct?

A couple has one daughter with Tay-Sachs disease and three other unaffected children. Neither the mother, nor father, nor any of the biological grandparents of the affected daughter have had the disease. Tay-Sachs disease most likely demonstrates what type of inheritance? Select one: a). autosomal recessive. b). X-linked dominant. c). autosomal dominant. d). X-linked recessive

I think it is b but i am not sure please help me out. Thank you so much and have a great day

It is a cold, icy miserable day in Whitehorse. You find yourself driving along the highway on your way out of town. You are driving a little fast (80km/h) as you approach a very icy corner on the highway, the corner essentially is frictionless. Luckily the engineers realised tourists like you would drive too fast into this corner and designed the corner to be banked and allow cars to safely navigate the 80m radius turn. At what angle did the engineers bank the corner?

An engineering company is hired to improve the efficiency of a transmission line. In their report, they discuss ways that will allow them to reduce the current by a factor of four. Assuming this is done, by what factor will the power losses be reduced?