Answer:
Nathan earned 100 points. he lost the trivia game by 5 points.
Step-by-step explanation
3
* 33 = 110 points earned
* 20 = 10 points lost
110-10 = 100
Nathan earned 100 points. he lost the trivia game by 5 points.
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
Answer- 8.4
Work =14 3/5 = 8.4
Answer:
y > 75
Step-by-step explanation:
Given that:
Starting number of boxes = > 100
Number of boxes sold = 25
Number of boxes left after selling 25
Let the number of boxes left = y
y = starting number of boxes - Numbe rof boxes sold
y = 100 - 25
y = 75
Since the starting number of boxes is more than 100
Then, y should also be more than 75
y > 75
When you see the 'line' is increasing starting from 0 to 2 hours, this indicates that the person on the graph is riding up a hill. This is known as positive acceleration or constant positive acceleration.
Where you see the 'line' stays the same 2 to 5 hours, this can indicate that the bike rider is doing one or two things. One thing the biker could be doing is taking a rest, and the other could be that the biker is riding at a leveled ground. This could be known as having constant velocity or zero acceleration.
Finally, where the 'line' is decreasing from 5 to 6 hours, this can indicate that biker is riding, possibly, down a hill. This is known as negative acceleration.
And of course, when the 'line' is going up again from 6 to 7 hours, this indicates that the biker is riding up a hill or increasing his speed. This is known as positive acceleration or constant positive acceleration.
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- Marlon Nunez
