Which of the following rational functions has a horizontal asymptote at y = 3 and vertical asymptotes at x = 4 and x = –3? y equals x squared over the quantity x squared plus x minus 12 end quantity
y equals x squared over the quantity x squared minus x minus 12 end quantity
y equals 3 times x squared over the quantity x squared plus x minus 12 end quantity y equals 3 times x squared over the quantity x squared minus x minus 12 end quantity

step-by-step explanation:

its kind of blurry. can you put a clearer pic?

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

add the numbers under frequency to find the total number:

5 + 8 +7 + 4 + 0 +1 = 25

the answer is 25.