Select the word from the list that best fits the definition shows data over time -pictograph -pie graph -line graph -bar graph -double bar graph

-line graph

Step-by-step explanation:

We are going to take the definition of all the terms and then deduced our correct answer.

Pictograph : Pictograph also known as pictogram uses picture to represent data.

Pie graph: It is a chat that uses pie slices to represent relative size of data.

Line graph: A line graph is a graph with points connected by lines to show changes in value  over time.

Bar graph: A bar graph uses rectangular box known as bars to represent data, it is relatively used to show size

Double bar graph : A double bar graph uses two bars beside each other two represent data. It can be used to compare two data groups.

From the above definition, we can deduced that the word that shows data over time is the line graph  

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}

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