Aline is represented by the equation y = x + 2. suppose the slope of the line was doubled and the value of the y-intercept was divided by 2. what is the equation of the new line? a. y=2x+1 b.1/2y=x+4 c.2y=x+1 d. y=1/2x+4

A.y=2x+1

Step-by-step explanation:

y = x+2

This is in the form y= mx+b

where m is the slope and b is the y intercept

m=1  we are doubling it

m=2

The y intercept is 2, we are dividing by 2

2/2 =1

b=1

y = mx+b

y = 2x+1

(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