The value of y when x= 2401 is -10
<h3>How to determine the value of x?</h3>
An inverse variation is represented as:
![y = \frac{k}{\sqrt x}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bk%7D%7B%5Csqrt%20x%7D)
Where k is the proportionality constant
When y = -70, x = 49
So, we have:
![-70 = \frac{k}{\sqrt {49}}](https://tex.z-dn.net/?f=-70%20%3D%20%5Cfrac%7Bk%7D%7B%5Csqrt%20%7B49%7D%7D)
Take the square root of 49
![-70 = \frac{k}{7}](https://tex.z-dn.net/?f=-70%20%3D%20%5Cfrac%7Bk%7D%7B7%7D)
Multiply through by 7
k = -490
Substitute k = -490 in ![y = \frac{k}{\sqrt x}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bk%7D%7B%5Csqrt%20x%7D)
![y = -\frac{490}{\sqrt x}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B490%7D%7B%5Csqrt%20x%7D)
When x =2401, we have
![y = -\frac{490}{\sqrt {2401}}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B490%7D%7B%5Csqrt%20%7B2401%7D%7D)
Evaluate the square root
![y = -\frac{490}{49}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B490%7D%7B49%7D)
Divide
y = -10
Hence, the value of y when x= 2401 is -10
Read more about variation at:
brainly.com/question/14254277
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Answer:
105/4 or 26.25 mi
Step-by-step explanation:
hillsdale to fairfax 8 7/8 = 71/8
fairfax to yardley = 17 3/8 = 139/8
71/8 + 139/8 = 105/4 or 26 2/8
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 ![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Find the value of the constant of proportionality in each table
Table A
For
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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
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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
-5= -5x-10
Plus 10 from both sides
5=-5x
X = -1
The sum of 2a and 3b:
2a + 3b