Calculate the average rate of change for the graphed sequence from n = 2 to n = 4.
graphed sequence showing (1, -3), (2, -3.5), (3, -6.75), (4, -10.125), (5, -15.1875), (6, -22.78125) a. -6.625
b. -03.3125
c. -3.0
d. -2.0

option: B is correct.

Step-by-step explanation:

we are given the coordinates (x,y) as:

(1,-3),(2,-3.5),(3,-6.75),(4,-10.125),(5,-15.1875),(6,-22.78125).

The average rate of change from to is defined as:

here we are asked to find the average rate of change for the graphed sequence from n=2 to n=4.

i.e. we need to find average rate of change from (2,-3.5) to (4,-10.125) is given by:

.

Hence the average rate of change from n=2 to n=4 is: -3.3125.

Hence, option B is correct.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true