Let f(x)=x^2+5x-8. What is the average rate of change from x = 2 to x = 6? Enter the answer in the box ___

Mathematics

1 answer:

koban [17]3 years ago

5 0

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [2, 6 ]

f(b) = f(6) = 6² + 5(6) - 8 = 36 + 30 - 8 = 58

f(a) = f(2) = 2² + 5(2) - 8 = 4 + 10 - 8 = 6

Hence

average rate of change = $\frac{58-6}{6-2}$ = $\frac{52}{4}$ = 13

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DOES ANYONE KNOW HOW TO DO THIS????????

Harrizon [31]

1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Step-by-step explanation:

Correlation is the link between two things or variables.

The scatter plots can be used to determine the correlation values for given sets of data.

If both values are increasing, then the correlation is positive

If one value is increasing and the other is decreasing then the correlation is negative

So,

In the given pictures

Figure 4 has the correlation coefficient closest to 1 as both values are increasing but the data points are not in a straight line so r will be close to 1.

Figure 3 has the correlation coefficient equal to one as one value is increasing and the other is decreasing. And the points are in a straight line so r will be equal to one.

As the data points in Figure 1 are more scattered so there will be no relationship between two quantities.

So, the answers are as follows

1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Keywords: Correlation, Data set

Learn more about correlation at:

#LearnwithBrainly

4 0

3 years ago

PLEASE HELP ASAP T^T

chubhunter [2.5K]

9514 1404 393

Answer:

no feasible solutions

Step-by-step explanation:

There are so many inequalities that determining the area covered by all 5 of them is problematic. Hence, we have reversed all of them in the attached graph, so any feasible solution region would remain white. Alas, there is no such region.

This system of inequalities has no feasible solution.