The graph of which of the following inequalities has open circles on -8 and 2 with a line segment between them? |x + 3| < -5
|x + 8| < 2
|x + 3| < 5

1-  |x+3| < -5 = No solutions

2- |x+8| < 2   =x<−6 and x>−10

3- |x + 3| < 5 = x<2 and x>−8

Step-by-step explanation:

2-  

     -18    -16      -14    -12    -10   -8    -6     -4    -2     0    2    4    6    8    10

3-  

      -18    -16     -14    -12    -10   -8    -6     -4     -2     0    2    4    6    8   10  12  

1,8,15,22,29,36,43,50

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