What is the answer to -2x + 4/3 = 8/3

x=-2/3

Step-by-step explanation:

subtract 4/3 from each side divide by -2

-2x + 4/3 = 8/3

move +4/3 to the other side

sign changes from +4/3 to -4/3

-2x+4/3-4/3= 8/3-4/3

-2x= 4/3

Mutiply both sides by -1/2

-2x(-1/2)= 4/3(-1/2)

Cross out -2 and 2 , divide by -2 then becomes x.

Cross out 4 and -2, divide by 2 and then becomes 2/3*-1/1= -2/3

x= -2/3

x= -2/3

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}

i need points

step-by-step explanation:

sorry bubs