Answer:
Table C
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
Find the value of the constant of proportionality in each table
Table A
For 
------>
For 
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This table has different values of k
therefore
the table A does not represent a proportional relationship
Table B
For ------>
For 
------>
For 
------>
This table has different values of k
therefore
the table B does not represent a proportional relationship
Table C
For ------>
For ------>
For 
------>
For 
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This table has the same value of k
therefore
the table C represent a proportional relationship
Table D
For ------>
For ------>
For ------>
For 
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This table has different values of k
therefore
the table D does not represent a proportional relationship
Answer:
C.
Step-by-step explanation:
y = 1/ x must pass through the origin because when x = 0, y = 0.
So its either B or C.
A positive slope rises to the right ( 1/2 is positive), so its C.
You can also see that the slope of C is 1/2 because it passes through the points (0.0) and (2, 1).
2x + y = 10
5x - y = 18
7x = 28
x = 4
2(4) + y = 10
8 + y = 10
y = 2
(4,2)
Answer:
D. g(x) = (x+ 4)² + 6
Step-by-step explanation:
Here, the given function is f(x) = x²
Now,if a graph x² is translated by (h,k) where:
h = Translation done towards RIGHT
k = Translation done towards UP
Then the translated equation is given as:
y = (x-h)² + k .... (1)
Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.
⇒ h = - 4 and k = 6
Substituting the value of h, k in (1) , we get:
g(x) = (x-(-4))² + 6 = (x+ 4)² + 6
⇒ g(x) = (x+ 4)² + 6
Hence, the equation of the translated function, g(x) is g(x) = (x+ 4)² + 6.
Answer: The correct answer is 0.1529.
The sine ratio is the length of the opposite side over the length of the hypotenuse.
In this problem, that would be 13 over 83.
If we divide 13 by 83, we get the decimal 0.1529.
