Which of the following characteristics of the set {(0 , 8), (8 , 0), (1 , 6), (6 , 1), (2 , 4), (4 , 2)} make it a function?
photoshop1234 [79]
Answer:
C
Step-by-step explanation:
For a relation to be a function, the ordered pairs do not repeat any of the x values. This is Answer C.
Answer:
20 maybe
Step-by-step explanation:
Answer:
Option (B)
Step-by-step explanation:
There are two lines on the graph representing the system of equations.
First line passes through two points (-3, 1) and (-2, 3).
Slope of the line = 
= 
m = 2
Equation of the line passing through (x', y') and slope = m is,
y - y' = m(x - x')
Equation of the line passing through (-3, 1) and slope = 2 will be,
y - 1 = 2(x + 3)
y = 2x + 7 ----------(1)
Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.
Let the equation of this line is,
y = mx + b
Slope 'm' = 
= 
= -3
Here 'b' = 1
Therefore, equation of the line will be,
y = -3x + 1 ---------(2)
From equation (1) and (2),
2x + 7 = -3x + 1
5x = -6
x = 
x = 
From equation (1),
y = 2x + 7
y = 
= 
= 
= 
Therefore, exact solution of the system of equations is
.
Option (B) will be the answer.
The complete question is
"The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich.
The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich.
What are the chances that Mary will get a sandwich with cheese?"
The chances of Mary getting a sandwich with cheese is 1/2.
<h3>How to calculate the number of different ways?</h3>
The number of different sandwiches is calculated by multiplying all of the possibilities for each material being used.
rye or white bread: 2 options
ham or turkey: 2 options
cheese or no cheese: 2 options
So the number of different sandwiches = 2*2*2 = 8.
4 have cheese and 4 have no cheese, as the staff made an equal number of each type of sandwich.
So, The chances of Mary getting a sandwich with cheese is 4/8 = 1/2.
Learn more about possibilities ;
brainly.com/question/15577149
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The length would be 30 feet, and the width would be 10 feet.