Answer:
Surveying a sample would be valid if the population contains a diverse group of people.
Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:

We do the same with the numerator

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:

Therefore

Note that
only if 
So since
is not included in the domain the function has a discontinuity in 
Answer:
A. 201.6 = 11.2f
Step-by-step explanation:
we solve for each unknown to verify which equality will require the division property:
#A. 201.6 = 11.2f

Hence, division property used.
#B. 35.4=Z ÷ 3.1

Hence, multiplication property used.
#C. t/3.2=15.1

Hence, multiplication property used.
#D. 201.6 = 11.2+c

Hence, subtractionproperty used.
Answer:
I don't how to exactly put the explanation in words I hope this helps you
Step-by-step explanation:
Answer:
78 feet
Step-by-step explanation:
<em>COmplete Question is in attached image.</em>
<em />
Eric will want to buy fencing that is sum of perimeter of the square border outside and hexagon inside.
Perimeter is the sum of all sides.
Perimeter of hexagon is sum of 6 sides.
Each side is 5, so
Perimeter of Hexagon = 5 + 5 + 5 + 5 +5 +5 = 30
Now,
Perimeter of Square is sum of all 4 sides measuring 12 each, so
Perimeter of Square = 12 + 12 + 12 + 12 = 48
Total amount of fencing needed = 30 + 48 = 78