To win a game, you need at least 45 points. each question is worth 3 points. write and solve an inequality that represents the number of questions you need to answer correctly to win the game.

; At-least 15 questions.

Step-by-step explanation:

Let x represent the number of questions you need to answer correctly..

We have been given that each question is worth 3 points. The points earned from answering x right questions would be .

Since we need at-least 45 points to win the game, so points earned from answering x questions would be greater than or equal to 45. We can represent this information in an equation as:

Therefore, you need to answer at-least 15 questions correctly to win the game.

(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