(x, y)
The domain are all the x-values, the range are all the y-values.
R={(19,96),(20,101),(21,106),(22,111)}
The domain is: 19, 20, 21, and 22
The range is: 96, 101, 106, and 111
Answer:
(3,-1)
Step-by-step explanation:
So we have the system of equations:

As directed, add straight down. The y-variable will cancel:

Now, divide both sides by 5. The left cancels:

So x is 3.
Now, substitute 3 for x in either of the equations:

Substitute 3 for x:

Multiply:

Subtract 9 from both sides:

So, our answer is: x=3, y=-1 or (3,-1).
And we are done :)
Given:
and
.
To find:
The value of f(5).
Solution:
We have,

For
,




For
,




For
,




For
,




Therefore, the value of
is
.
Answer:
2.5 pi
Step-by-step explanation:
Comment
If you were trying to get the area of a whole circle, you would use
Area = pi r^2
You have to modify the formula to show that just part of the circle has an area that you are interested in.
The new formula is
Area = (theta/360) pi r^2
Givens
r = 30 cm
theta = 100
Solution
Area = (100 / 360) * pi * r^2 Substitute the givens into this formula
Area = (5 / 18) * pi * 3^2 Expand
Area = (5 / 18) * pi * 9 Cancel 9 into 18
Area = 5/2 * pi
Area = 2.5 * pi
Answer: Carolynn is faster.
Step-by-step explanation: Clarke makes 6.75 favors/hour, while Carolynn makes 7 favors/hour. (7 > 6.75)