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ale4655 [162]
3 years ago
9

Consider the function given by f(x)= x² +3. Find its average rate of change from x = -2 to x = 4.

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0

Answer:

Rate = 2

Step-by-step explanation:

Given

f(x) = x^2 + 3

Required

Determine the average rate of change from -2 to 4

This is calculated using:

Rate = \frac{f(b) - f(a)}{b - a}

In this case:

a = -2

b = 4

So, we have:

Rate = \frac{f(b) - f(a)}{b - a}

Rate = \frac{f(4) - f(-2)}{4 - (-2)}

Rate = \frac{f(4) - f(-2)}{4 +2}

Rate = \frac{f(4) - f(-2)}{6}

Calculate f(4):

f(x) = x^2 + 3

f(4) = 4^2 + 3

f(4) = 19

Calculate f(-2)

f(x) = x^2 + 3

f(-2) = (-2)^2 + 3

f(-2) = 7

So:

Rate = \frac{f(4) - f(-2)}{6}

Rate = \frac{19-7}{6}

Rate = \frac{12}{6}

Rate = 2

<em>The average rate of change is 2.</em>

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7 0
3 years ago
Please help!!! i need this done by tonight!! 50 points!!
Vinil7 [7]

The equation of best fit is y = (-22/5)x + 10.

What is an equation of a line?

The equation of a line is given by:

y = mx + c where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The following coordinates are given:

Pick two coordinates.

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The equation of best fit.

y = mx + c

Now,

m = (-100 - 10) / (25 - 0)

m = -110 / 25

m = -22/5

Now,

(0, 10) = (x, y)

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Now,

y = mx + c

y = (-22/5)x + 10

Thus,

Using the coordinates the equation of best fit is y = (-22/5)x + 10.

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5 0
1 year ago
does the assumption of a poisson distribution with a mean of 6.0 seem appropriate as a probability model for these data? use 0.0
Alenkasestr [34]

The Poisson distribution with a mean of 6.0 is an appropriate model.

<h3>What is mean?</h3>
  • In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.
  • It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."
  • There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:
  • Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.

Hence, The Poisson distribution with a mean of 6.0 is an appropriate model.

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6 0
1 year ago
Find the iqr of 4 5 6 8 9 10 11 12
77julia77 [94]

Answer:

The interquartile range is 5.

Step-by-step explanation:

Ah, a throwback to interquartile range... let me help :)

4,5,6,8,9,10,11,12

First, you need to know how to use the IQR. The interquartile range is basically known as the process of subtracting the upper quartile and the lower quartile of a set of data. The lower quartile should be written as Q1, and the upper quartile would be labeled as Q3. This would make the midpoint (median) data set Q2, and the highest possible point would be labeled Q4. Next, you have to always understand what you are looking at. For example, let's split the set 5,6,7,8,9,10,11,12 into groups. 5 and 6 would be Q1, 7 and 8 would be Q2, 9 and 10 would be Q3, and last but not least, 11 and 12 would be labeled as Q4. Now take Q1 and subtract it from Q3 and that is how you get your IQR.



3 0
3 years ago
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What is the center of the following circle?<br> (x + 7)2 + (y - 9)2 = 16
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Answer:

Step-by-step explanation:

hello :

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