5+5x=Larys
9+4x=Boardwalk
5+5x=9+4x
-4x -4x
5+x=9
-5 -5
x=4
If you rent a bike for four hours the cost will be the same at both places
The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
<h3>How to determine the reflection?</h3>
The equation is given as:
f(x) = 2(0.35)^x
The reflection of a function over the y-axis is :
f'(x) = f(-x)
So, we have:
f(-x) = 2(0.35)^(-x)
From the list of options, we have
h(x) = 2(0.35)^(-x)
Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
Read more about reflection at:
brainly.com/question/12040866
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The problem you have written
![\sqrt[5]{x^{10}}/2](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7B10%7D%7D%2F2)
simplifies to

_____
If you intend
![\sqrt[5]{x^{10}/2}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7B10%7D%2F2%7D)
then you can multiply by the appropriate fraction to get your first answer choice.
![\displaystyle\sqrt[5]{\frac{x^{10}}{2}}=\frac{\sqrt[5]{x^{10}}}{\sqrt[5]{2}}\cdot\frac{\sqrt[5]{2^4}}{\sqrt[5]{2^4}}\\\\=\frac{x^{2}\sqrt[5]{16}}{\sqrt[5]{2^{5}}}=\bf{\frac{x^{2}\sqrt[5]{16}}{2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B5%5D%7B%5Cfrac%7Bx%5E%7B10%7D%7D%7B2%7D%7D%3D%5Cfrac%7B%5Csqrt%5B5%5D%7Bx%5E%7B10%7D%7D%7D%7B%5Csqrt%5B5%5D%7B2%7D%7D%5Ccdot%5Cfrac%7B%5Csqrt%5B5%5D%7B2%5E4%7D%7D%7B%5Csqrt%5B5%5D%7B2%5E4%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7Bx%5E%7B2%7D%5Csqrt%5B5%5D%7B16%7D%7D%7B%5Csqrt%5B5%5D%7B2%5E%7B5%7D%7D%7D%3D%5Cbf%7B%5Cfrac%7Bx%5E%7B2%7D%5Csqrt%5B5%5D%7B16%7D%7D%7B2%7D%7D)
There are 48 green ribbons
<h3><u>Solution:</u></h3>
Given that the ratio of red ribbons to green ribbons is 4 to 6
Which can be written in following way:-

There are total number of 32 red ribbons
We have to determine the number of green ribbon
Let the number of green ribbon be ‘6a’
And number of red ribbons be "4a"
Given number of red ribbons = 32
4a = 32
a = 8
number of green ribbon = 6a = 6(8) = 48
Therefore number of green ribbons is 48