Answer:
Step-by-step explanation:
The function is
Correct description is the first option with the exception of point (2,0), it should read (2, 0.5)
- On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (2, 0) and then goes up through (1, 2) with an arrow instead of an endpoint. The second line has a closed circle at (2, 6) and goes up through (3, 7) with an arrow instead of an endpoint.
The graph is attached
The rule of the linear equation which is 'y is three more than twice x' can be translated into y = 2x + 3. Thus, we simply use the points and subtitute it to the y and x variables.
1st point: (-1, 1)
1 = 2(-1) + 3
1 = -2 + 3
1=1
2nd point: (0, 3)
3 = 2(0) + 3
3 =3
3rd point: (-1/3, 7/3)
7/3 = 2(-1/3) + 3
7/3 = -2/3 + 3
7/3 = 7/3
All points prove the equation satifsfies the set of coordinates.
Graph the inequality y> 2x +3
Solution
<u>Step 1: </u>To graph the inequality, we need to find a few coordinates and form the table.
<u>Step 2:</u> Forming the table.
Let's take x = -1 and find the value of y.
Plug in x = -1 and find the value of y.
y = 2(-1) + 3 = -2 + 3 = 1
When x = -1, the value of y is 1.
So the coordinates are (-1, 1)
Plug in x = 0 and find the value of y.
y = 2(0) + 3 = 3
The coordinates are (0, 3)
Plug in x =1 and find the value of y.
y = 2(1) + 3 = 2 + 3 = 5
The coordinates are (1, 5)
<u>Steo 3: </u>Now let's plot the points and draw the graph.
Since the graph is greater than, we have to draw the dotted lines and shade the region above.
Note: You can find the graph in the attachment.
Thank you :)
P >= 430, because the pool has 430 people in there at the moment and we can assume that it is full or it has more space for more people, so p will equal 430 or greater.
