Which two lines are parallel? 1. 3x+y= -5
2.y=7-3x
3. y=3x+2.5

show your work. (no Links)

First turn 3x + y = -5 to slope-intercept form (y=mx+b) by subtracting 3x in order to move it to the other side, to get

y = -3x - 5.

So now you have all three lines in proper slope-intercept form. (Don't worry about

y = 7 - 3x, it's still in slope-intercept form, despite the y-intercept and slope being swapped.)

Here are the lines rewritten below.⤵⤵⤵

1. y = -3x - 5

2. y = -3x + 7 or y = 7 - 3x (either way works)

3. y = -3x + 2.5

As we can see, all three lines are parallel.

Because all the slopes are the same and the y-intercepts are different. If the slopes were different, the lines wouldn't be parallel.

I also graphed the lines above, so you can see what I mean.⤴⤴⤴ Hope this helped :)

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}

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column