Hassan writes an algebraic expression with four terms. the x-term has a coefficient of 2, and the z-term has a coefficient of -1. the expression has a constant term less than zero. which expression could he have written? 2x + z + 5 - 6z2 2x - z - 5 + 2z2 -2x - z - 5 + 2z2 -2x + z - 5 + 2z2

The possible expression is:

Step-by-step explanation:

It is given that:

The x-term has a coefficient of 2.

and the z-term has a coefficient of -1.

Also, the constant term has a constant term less than zero.

1)

In this expression the coefficient of z is not -1.

Hence, this option is incorrect.

2)

This expression holds all the given property and hence is the possible answer.

3)

In this expression the coefficient of x is not 2.

Hence, this option is incorrect.

4)

In this expression the coefficient of x is not 2.

Hence, this option is incorrect.

(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