At a benefit concert, eleven bands have volunteered to perform but there is only enough time for eight of the bands to play. Ho
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Answer:
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Step-by-step explanation:
At a benefit concert, eleven bands have volunteered to perform.
There is only enough time for eight of the bands to play.
We need to find how many lineups are possible.
We would need to choose 8 bands out of 11 and their arrangements should be unique. Also that no band can perform twice.
There fore the number of possible line ups are = 165 ways.
Therefore 8 bands out of the 11 can lineup in 165 different ways and perform at the benefit concert.
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The first thing we must do for this case is to find the equation of the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.