19.899 as an approximation
2 sqrt (99) = 6sqrt (11) exactly
The question is defective, or at least is trying to lead you down the primrose path.
The function is linear, so the rate of change is the same no matter what interval
(section) of it you're looking at.
The "rate of change" is just the slope of the function in the section. That's
(change in f(x) ) / (change in 'x') between the ends of the section.
<u>In Section A:</u>
Length of the section = (1 - 0) = 1
f(1) = 5
f(0) = 0
change in the value of the function = (5 - 0) = 5
Rate of change =
(change in the value of the function) / (size of the section) = 5/1 =<em> 5</em>
<u>In Section B:</u>
Length of the section = (3 - 2) = 1
f(3) = 15
f(2) = 10
change in the value of the function = (15 - 10) = 5
Rate of change =
(change in the value of the function) / (size of the section) = 5/1 = <em> 5
</em><u>Part A:</u>
The average rate of change of each section is 5.
<u>Part B:</u>
<span><span>The average rate of change of Section B is equal to
t</span>he average rate of change of Section A.
<u>Explanation:</u>
The average rates of change in every section are equal
because the function is linear, its graph is a straight line,
and the rate of change is just the slope of the graph.
</span>
Answer:
247 people per square mile
Step-by-step explanation:
Population density is people per area
We need to find the area
We are given the radius
We will assume a circular area since we are given radius
A = pi r^2
A = 3.14 * 5^2
A = 3.14 *25
A = 78.5 miles ^2
19400 people
---------------------
78.5 miles ^2
247.133758 people per square mile
Rounding to the nearest person
247 people per square mile
Answer:
Step-by-step explanation:
Slopes: -
and -x
y- intercepts: 3 and -6
Answer:
![\frac{6x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B5%7D)
Step-by-step explanation:
Given
- ![\frac{x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D)
Since both fractions have a common denominator, subtract the numerators leaving the denominator.
= ![\frac{7x-x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B7x-x%7D%7B5%7D)
= ![\frac{6x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B5%7D)