Apply the distributive property and the greatest common factor to write an equivalent expression.

enter your answers in the boxes.

60x−24=
(
)

Step-by-step explanation:

60x -24

Here factor of 60x are 2x2x3x5 (x)

and factor of 24 are  2x2x2x3

common factor of both are  = 2x2x3

12 [ 5x -2 ]  its also s=using distributive law also

a*(b-c) = a*b-a*c

that means if a  is common factor of both terms then we can pull a out of the parenthesis and we get a as common factor

we can see that 12 is common factor in both terms so pulling 12 from both terms and we get 5x and 2 inside  minus sign between them.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

the correct answer is $7.38

step-by-step explanation: