Answer:
See explanation
Step-by-step explanation:
1. From the graph of absolute value function:
a. The domain is 
b. The range is 
c. The graph is increasing for all 
d. The graph is decreasing for all 
2. From the graph of quadratic function:
a. The domain is 
b. The range is ![y\in (-\infty,0]](https://tex.z-dn.net/?f=y%5Cin%20%28-%5Cinfty%2C0%5D)
c. The graph is increasing for all 
d. The graph is decreasing for all 
Answer:

Step-by-step explanation:
<h3><u>TO SOLVE:</u></h3>
Isolate by the x on one side of the equation.
<h3><u>SOLUTIONS:</u></h3>
First, subtract 3x from both sides.

Solve.

Sides are NOT equal.

Therefore, there are no solutions.
Answer:
- 321 adult tickets
- 227 child tickets
Step-by-step explanation:
This sort of problem is easily solved by defining a variable to be the quantity of the higher-value contributor. Here, we can let x represent the number of adult tickets. Then total revenue is ...
6.50x +3.50(548-x) = 2881
3x +1918 = 2881 . . . . . . . . . . . . eliminate parentheses, collect terms
3x = 963 . . . . . . . . . . . . . . . . . . subtract 1918
x = 321 . . . . . . . . . . . . . . . . . . . . divide by 3
548-x = 548 -321 = 227 . . . . . .number of child tickets
321 adult tickets and 227 child tickets were sold.
|-11| > |-10|
this is because the absolute value is always a positive number. therefore, it is really 11 > 10.
Answer:
On a unit circle, the point that corresponds to an angle of
is at position
.
The point that corresponds to an angle of
is at position
.
Step-by-step explanation:
On a cartesian plane, a unit circle is
- a circle of radius
, - centered at the origin
.
The circle crosses the x- and y-axis at four points:
Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.
When the angle is equal to
, the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be
.
To locate the point with a
angle, rotate the
segment counter-clockwise by
. The segment would land on the positive y-axis. In other words, the
-point would be at the intersection of the positive y-axis and the circle. Its coordinates would be
.