Which sets represent Functions? Select all that apply. A) (1,b), (5,a), (8,b) B) (1,b), (5,a), (5,c) C) (1,7), (49,7), (52,7)
Ann [662]
Answer:
A, C
Step-by-step explanation:
The lists of first numbers of the ordered pairs in each set are ...
A: 1, 5, 8 . . . . . . unique, this is a function
B: 1, 5, 5. . . . . . .not unique; not a function
C: 1, 49, 52 . . . unique, this is a function
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A function cannot have multiple outputs for the same input. For relation B, the input of 5 gives outputs of 'a' and 'c', so it is not a function.
Answer:
See below in bold.
Step-by-step explanation:
a. The y coordinate will be (0, 25,350) as $25,350 is the value of the new car at year 0.
The x coordinate will be when the car is worth zero dollars and this is at the point (13, 0).
b. The slope = -25,350 / 13 = -1950.
c. The equation is y = -1950x + 25350.
d. To draw the graph just join the above 2 points.
Answer:
2.) Infinitely many solutions
3.) No solutions
Step-by-step explanation:
To solve systems of equations graphically, you need to find where they intersect
2.) First put each equation in the form y=mx+b
x-y=6 -> y= x-6
2x=12+2y -> y= x-6
Then, graph each line
Since we have the same equation, the lines are on top of each other so there are infinitely many solutions as they intersect everywhere.
To check, plug a point in from the graph into both equations and you should get 0=0
3.) First put each equation in the form y=mx+b
1/2x-y=4 -> y=1/2x-4
2y=x+6 -> y=1/2x+3
Then, graph each line
Since the lines have the same slope but a different y intercept, the lines are parallel. Therefore, there are no solutions as they do not intersect.
To check your answer, you would one equation as the y in the other equation.
2(1/2x-4)=x+6, then solve for x
Then plug that x into the original equations, and you'll see they are not equal. Hope that helps!
153.5
Supplementary means add to 180
180- 26.5= 153.5