Answer:
Average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Step-by-step explanation:
We need to find the average rate of change for the function for the interval
(6, 12]
The formula used to calculate Average rate of change is:

We are given a=6 and b=12
Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000
and when x=12, y=6000 so, f(b)=6000
Putting values in formula and finding Average rate of change:

So, average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Answer:
28 Kg : 8 Kg
Step-by-step explanation:
Sum the parts of the ratio, 7 + 2 = 9 parts
Divide 36 Kg by 9 to find the value of one part of the ratio.
36 Kg ÷ 9 = 4 Kg ← value of 1 part of the ratio, thus
7 parts = 7 × 4 Kg = 28 Kg
2 parts = 2 × 4Kg = 8 Kg
36 Kg in the ratio 7 : 2 = 28 Kg : 8 Kg
Answer:
12
Step-by-step explanation:
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Answer:
-6 ≤ x < ∞
Step-by-step explanation:
You want the domain of the function y = √(x+6) -7.
<h3>Domain</h3>
The domain of a function is the set of x-values for which the function is defined. On a graph, it is the horizontal extent of the graph.
The square root function is undefined for negative arguments, so that limits the domain of the given function:
x+6 ≥ 0
x ≥ -6 . . . . . domain of the given function
__
<em>Additional comment</em>
When the domain is written in interval notation, both the left and right ends of the interval must be specified.
[-6, ∞)
The square bracket identifies -6 as being part of the domain. The parenthesis is used with ∞, because that number has no specific value.
Answer:
75
Step-by-step explanation:
When you have 100% of something, it's all of that one thing, right? So if you were to turn 100% into a decimal, it would be 1. This means you can divide any percentage by 100 to turn it into a decimal. So, 30%=.3. When you multiply something by 2, you get two of that thing, right? And just the same, when you multiply something by half, you get half of that thing. This means you can multiply 250 by .3 to get .3 of it, or, 30%.
250*.3=75