Answer:
Only Elijah's model is correct
Step-by-step explanation:
The data given in the question tells us they have 12 games left on their soccer team. Each one of them tried to simulate the fact by creating some model which look like a balance between quantities.
Elijah placed 3 cubes of value 1 and a cube of value x on one side of a balance. On the other side, he placed 15 cubes of value 1. He was obviously modeling the fact that 15 cubes (games due to play in our case) should be equal to 3 cubes (games already played) plus the x numbers left to play
This model if perfect, since the only way to equilibrate the balance is setting x to 12, the games left to play
Jonathan used a table with 3 x's in a row and a 15 in the second row, trying to model the same situation. To our interpretation, this table doesn't show the number of games left to play. If we equate 3x = 15, we get x=5 which has nothing to do with the situation explained in the question, so this model is not correct.
Power
= Work done / Time
= 15000 N * 3 m / 50 s
= 45000/50 N-m/s
= 900 W
It may sound like an extremely low value, but 3.0 / 50 s is also a very slow speed.
Answer:
m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9
Step-by-step explanation:
The given points are the y-intercept and the x-intercept, so they can be used directly in the intercept form of the equation of a line.
x/(x-intercept) +y/(y-intercept) = 1
x/3 +y/9 = 1
Multiplying by 9 gives ...
3x +y = 9
This can be rearranged to the slope-intercept form ...
y = -3x +9
_____
The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.
The correct answer is C. 1.5
You can find this answer by using any of the points on the graph and putting them into the given equation. Then you can solve for the constant. For the purpose of this example, we will use (10, 15)
Height = Constant * Width ---> Plug in known values.
15 = Constant * 10 ----> Divide both sides by 10
1.5 = Constant
This will work with whatever numbers you use from the graph. Although this graph does not have any others to really choose from.
