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A number line is a representation of a graded straight line. The number √128 will lie between 11.3 and 11.4.
<h3>What is a number line?</h3>A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.
In order to know the location of the √128, we need to write the number √128 in decimal form, therefore, the value of √128 can be written as,
Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.
Hence, the number √128 will lie between 11.3 and 11.4.
Learn more about Number Line:
Answer:
5≤x≤7
Step-by-step explanation:
For a given function f(x), the average rate of change in a given interval:
a ≤ x ≤ b
is given by:
Here we have:
f(x) = 4*log(x + 2)
And we want to see which interval has the smallest average rate of change, so we just need fo find the average rate of change for these 4 intervals.
1) 1≤x≤3
here we have:
2) 5≤x≤7
3) 3≤x≤5
4) −1≤x≤1
So we can see that the smalles average rate of change is in 5≤x≤7