Tell whether the equation has one, zero, or infinitely many solutions.6(x − 8) + 20 = 6x − 28

infinetly many

Step-by-step explanation:

6x-48+20 = 6x-28

x=764/3 so one solution

Step-by-step explanation:

remove the parentheses / multiply

0.6x-4.8+20=168

calculate

0.6x+15.2=168

move the constant to the right

0.6x=168-15.2

calculate

0.6x=152.8

solution x=764/3

alternative forem

x=254 2/3,x=254.6

2425

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