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fgiga [73]
3 years ago
13

Arrange these functions from the greatest to least value based on the average rate of change in the specified interval.

Mathematics
1 answer:
Hatshy [7]3 years ago
3 0
Let us create a table that evaluates the slope of each function within its specified interval.

Define
 [x1,x2] = the specified interval
f1 = f(x1)
f2 = f(x2)

The average rate of change is the slope, calculated as
Slope = (f2 - f1)/(x2 - x1)


       f(x)   Interval  x2-x1           f1          f2    Slope
----------- -----------   --------   --------   ----------   ---------
x² + 3x      [-2, 3]          5         -2          18           4
3x - 8         [4, 5]          1           4            7           3
x² - 2x      [-3, 4]          7          15           8          -1
x² - 5          [-1, 1]         2          -4          -4           0

Answer:
In order of the greatest slope to the lowest slope, the order of the functions is 1, 2, 4 and 3. That is,
1. f(x) = x² + 3x
2. f(x) = 3x - 8
4. f(x) = x² - 5
3. f(x) = x² - 2x



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Step-by-step explanation:

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Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x. −6x − 10 > 14 + 2x _______________ −8x
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Step-by-step explanation:

8 0
2 years ago
Which of the following are true about regression with one predictor variable (often called "simple regression")? Check all that
AfilCa [17]

Answer:

<h3>A. The slope describes the amount of change in Y for a one-unit increase in X .</h3><h3>B. The regression equation is the line that best fits a set of data as determined by having the least squared error.</h3>

Step-by-step explanation:

In statistics, linear regression is a analysis we do to describe the relationship between two variables. With this study, we pretend to know if there's a positive or negative correlation between those variables, if that correlation is strong or weak.

In a linear regression analysis, we modeled the data set using a regression equation, which is basically the line that best fits to the data set, this line is like the average where the majority of data falls. That means choice A is right.

When we use linear equations, we need to know its characteristics, and the most important one is the slope, which is the ratio between the dependent variable and the independent variable. Basically, the slope states the unit rate between Y and X, in other words, it states the amount of Y per unit of X. That means choice B is correct.

Therefore, the correct answers are A and B.

4 0
3 years ago
Which expression is equivalent to
noname [10]

Answer:

3/5 m^2 n^3

Step-by-step explanation:

√225 = 15

√625 = 25

√m^4 = m^2

√n^6 = n^3

Put it all together and you get 15/25 m^2 n^3

Simplify 15/25 to 3/5

4 0
3 years ago
Read 2 more answers
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