Consider the points (3, 4) and (−3, 4). when the two points are compared, which statement is not true? a) the y-coordinates have the same value. b) the x-coordinates have the same absolute value. c) the x-coordinates are opposite numbers. d) both points are 4 units above the y-axis.

D) Both points are 4 units above the y-axis.

Step-by-step explanation:

Consider the points (3, 4) and (−3, 4). When the two points are compared, which statement is NOT TRUE?

A) The y-coordinates have the same value. TRUE. The y-coordinates have the value 4.

B) The x-coordinates have the same absolute value. TRUE. 3 and -3 have the same absolute value, |-3| = |3| = 3.

C) The x-coordinates are opposite numbers. TRUE. 3 and -3 are opposite numbers.

D) Both points are 4 units above the y-axis. NOT TRUE. Both points are 4 units above the x-axis.

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}

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: