|5y-3|=15 Solve for Y

The two roots are -12/5 and 18/5

Step-by-step explanation:

One way of simplifying the work involved here is to isolate y:  start this by dividing all 3 terms by 5, obtaining:

|y - 3/5| = 3

Then 3/5 is the 'center' and 3 is the distance from this center to each of the two roots.

First root is 3/5 + 3, or 3 3/5, or 18/5.

Second root is 3/5 - 3, or -2 2/5, or -12/5

(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