A counter example disproves a statement.
The counter example for : the city of Portland is in Oregon would be : the city of Portland is in Maine.
The city named Portland can be found in both states.
Answer:
(a) Slope of Line 1 = 3
Slope of Line 2 = 3
Slope of Line 3 = -1/3
(b)
Line 1 and Line 2 = Parallel
Line 1 and Line 3 = Perpendicular
Line 2 and Line 3 = Perpendicular
Step-by-step explanation:
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Part A: Yes this is a function because there are no repeated x values. Each x value points to exactly one y output. You can graph each point and the graph will not fail the vertical line test.
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Part B: Plug x = 6 into the f(x) function given to get
f(x) = 7x-15
f(6) = 7*6-15
f(6) = 42-15
f(6) = 27
Now compare this with the table. According to the table, when x = 6, the value of y is 14. So the f(x) value is larger than the table value when x = 6
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Part C:
Replace f(x) with 6 and solve for x
f(x) = 7x-15
6 = 7x-15
6+15 = 7x-15+15
21 = 7x
7x = 21
7x/7 = 21/7
x = 3
So the final answer, for part C, is x = 3
Answer:
0.21 or 21/100
Step-by-step explanation:
the chance of a female student getting a scholarship is 7/10. now that student already has a scholarship so now there are 9 students. the probability of the next female getting a scholarship is 6/9. and then the next is 5/8
7/10 x 6/9 x 5/8 = 21/100 or 0.21