When x = -6 the denominator = 0
There is a hole in the graph at (-6,0)
Answer:
Option B - 90 students at random during lunch
Step-by-step
An unbiased sample is defined as:
A sample is an unbiased sample if every individual or the element in the population has an equal chance of being selected.
Based on this, we can eliminate:
Option A) - It prevents non-eighth-graders of the school from being represented.
Option C) - Students in a hallway might take a particular class together/may be of the same grade. This gives them an unfair advantage.
Option D) - All students who are not in chorus are not represented in this set.
Answer:
a. M=20A
b. k=20
c. $1200
Step-by-step explanation:
<u>Direct proportions
</u>
Two variables are proportional if one of them is the other by a real number. That real number is called the Constant of proportionality. If x and y are proportional, then
y=kx, where k is the constant of proportionality.
The question describes the relationship between the amount of money raised at a charity fundraiser and the number of attendees. If they have five attendees, they raise $100
a.
Let's call A the number of attendees and M the amount of money raised, and
M=kA
We know that M=100 when A=5, so
100=k(5)
This means that
k=20
The equation for the amount raised at the charity event is
M=20A
b.
The constant of variation is k=20
c. If there are 60 attendees (A=60), then
M=(20)(60)=$1200
-10 < = -3x - 4 < 5
-10 + 4 < = -3x - 4 + 4 < 5 + 4
-6 < = -3x < 9
2 > = x > -3 <==
The Pythagorean theorum states that when 
and 
are sides and 
is the hypotenuse, 
So, let's plug in the values. 
Simplify. The square of a square root is the number inside the square root. 
Subtract 9 from both sides. 
Get the square root of both sides. 
