Answer:
y=x, x-axis, y=x, y-axis
Explanation:
Reflecting the figure across three axes just moves it from one quadrant to another. It does not map the figure to itself.
Reflecting across the line y=x moves it from quadrant II to IV or vice-versa. If it is in quadrant I or III, it stays there. So the sequence of reflections x-axis (moves from I to IV), y=x (moves from IV to II), x-axis (moves from II to III), y=x (stays in III) will not map the figure to itself.
However, the last selection will map the figure to itself. The initial (and final) figure location, and the intermediate reflections are shown in the attached. The figure starts and ends as blue, is reflected across y=x to green, across x-axis to orange, across y=x to red, and finally across y-axis to blue again.
Answer: 210
Step-by-step explanation:
We know that the number of combinations of n things taken r at a time is given by :-
So, number of ways to select 3 plants out of 7 =
Also number of ways to arrange them in 3 positions = 3! = 6
Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)
= 35 x 6
=210
Hence, required number of ways = 210
I basically converted them all into decimals and rounded
Team 1- 0.75
Team 2- 0.8
Team 3- 0.775
Team 4- 0.825
Team 5- 0.725
Team 6- 0.7625
Team 7- 0.7875
Team 8- 0.8125
Team 4 collected the most
Team 5 collected the least
Where are the statements at?
Answer: x=3
Step-by-step explanation:
7+5(x-2)=12
Open bracket
7+5x-10=12
Collect like terms
5x-3=12
5x=12+3
5x=15
X=15/5
X=3