If you apply the changes below to the absolute value parent function, F(x) = 1x, what is the equation of the new function?
.
Horizontally compress by multiplying by 13.
.
Shift 2 units up.
A. K(X) - 13x-2
B. H(X) - 13(x - 2)
C. 3(x) - 13x[+2
O D. G(X) - 13(x+2)

(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

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140