The graph below shows the distance, y, in miles, of a bee from its hive, for a certain amount of time, x, in minutes: Graph titled Distance Vs Time is shown with Time in minutes along the x-axis and Distance from Hive in miles along the y-axis. The scale on the x-axis shows the numbers 0 to 25 at increments of 5, and the scale on the y-axis shows the numbers 2 to 16 at increments of 2. A straight line joins the ordered pairs 0, 4 and 5, 6 and 10, 8 and 15, 10 and 20, 12.

Based on the graph, what is the initial value of the graph and what does it represent?

0.4 mile per minute; it represents the speed of the bee
0.4 mile; it represents the original distance of the bee from its hive
4 miles; it represents the original distance of the bee from its hive
4 miles per minute; it represents the speed of the bee

what don't understand it's really hard question

Step-by-step explanation:

The initial value of the graph is 0,0

It represents how far the bee is away from the hive every 5 minutes.

answer: a and b

step-by-step explanation:

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}