Answer:
Domain: 
Range: 
Step-by-step explanation:
Given
Required
Determine the domain and the range
Solving for domain:
From the question, we understand that t represent years.
Because years can't be negative;
Then, we can conclude that the domain, t is:
Solving for Range:
We solved domain to be
This implies that the minimum value of t is 
and the maximum is infinity
Substitute 0 for t in
Hence;
The range is
Answer:
The side length of the original square was 6 inches
Step-by-step explanation:
we know that
The area of a square is
where
b is the length side of the square
Let
x ---> the length of the original square
The area of the original square is
The length of the smaller square is
The area of the smaller square is
The area of the smaller square is 1/4 the area of the original square
so
solve for x
Multiply by 4 both sides
Solve the quadratic equation by graphing
using a graphing tool
x=2, x=6
see the attached figure
The solution is x=6 in
Remember that the solution must be greater than 3 inches (because Stacey cuts 3 inches off of the length of the square and 3 inches off of the width)
therefore
The side length of the original square was 6 inches
First of all, this is not an observational study, but an experiment, since we have two groups and one of the two groups is manipulated or treated. In an observational study the subjects are only observed.
Second, the students did not choose their groups - so we can't choose the last answer.
Therefore the correct answer is:
This is an experiment because a treatment was applied to a group.
Answer:
10
Step-by-step explanation:
"When 9 is increased by 3x"
THis means 9 + 3x
"The result is greater than 36"
We use greater than sign and 36
So we can write:
9 + 3x > 36
SOlving this via equation rules and algebra:
9 + 3x > 36
3x > 36 - 9
3x > 27
x > 27/3
x > 9
This means x is everything greater than 9, which satisfies the equation. So in terms of integers, it can be 10, 11, 12, 13...anything above
We want to find the least possible integer value of x, so it is definitely 10
The metric table goes millimeters, centimeters, decimeters, meters, dekameters, hectometers, kilometers. To move up the table, move the decimal point one to the left. If you wanted to change it to centimeters, the answer would be 8,340,000. In kilometers, this is 83.4 kilometers. Hope this helps!
