Answer:
÷ ![\frac{20}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B5%7D)
Step-by-step explanation:
÷ ![\frac{3}{5} =\\](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%3D%5C%5C)
![\frac{3}{8} *\frac{5}{3} =](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%20%2A%5Cfrac%7B5%7D%7B3%7D%20%3D)
![\frac{15}{24} = \frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B24%7D%20%3D%20%5Cfrac%7B5%7D%7B8%7D)
So we need a division problem that equals ![\frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D)
![\frac{5}{8} =\frac{25}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%20%3D%5Cfrac%7B25%7D%7B40%7D)
=
÷ ![\frac{20}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B5%7D)
Answer:
swing state
noun
a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.
Step-by-step explanation:
<h3>Composite functions</h3>
When a function is substituted into another function it is known as a composite function.
<u>Given the following functions:</u>
f(x) = 4x + 3
g(x) = x - 2
Determine ![f(g(x)) \ and \ g(f(x))](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%5C%20and%20%5C%20g%28f%28x%29%29)
![f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 ](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20f%28x-2%29%5C%5C%0Af%28x-2%29%20%3D%204%28x-2%29%2B3%5C%5C%0Af%28x-2%29%3D4x-8%2B3%5C%5C%0Af%28x-2%29%20%3D%204x%20-%205%5C%5C%0Af%28g%28x%29%29%20%3D%204x%20-%204%0A)
1) Determine the value of ![f(g(5))](https://tex.z-dn.net/?f=f%28g%285%29%29)
![f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16](https://tex.z-dn.net/?f=f%28g%285%29%29%3D4%285%29%20-%204%5C%5C%0Af%28g%285%29%29%3D20-4%5C%5C%0Af%28g%285%29%29%3D16)
2) For the function ![g(f(-6))](https://tex.z-dn.net/?f=g%28f%28-6%29%29)
![g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23](https://tex.z-dn.net/?f=g%28f%28-6%29%29%3D4%28-6%29%20%2B%201%5C%5C%0Ag%28f%28-6%29%29%3D-24%2B1%5C%5C%0Ag%28f%28-6%29%29%3D-23)
3) For the value
we need to determine ![f(f(x))](https://tex.z-dn.net/?f=%20f%28f%28x%29%29)
![f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127](https://tex.z-dn.net/?f=f%28f%28x%29%29%20%3D%20f%284x%2B3%29%5C%5C%0Af%28f%28x%29%29%3D%204%284x%2B3%29%2B3%5C%5C%0Af%28f%28x%29%29%3D16x%2B12%2B3%5C%5C%0Af%28f%28x%29%29%3D16x%2B15%5C%5C%0Af%28f%287%29%29%20%3D%2016%287%29%20%2B%2015%5C%5C%0Af%28f%287%29%29%20%3D%20127)
4) For the function ![g(f(x));](https://tex.z-dn.net/?f=g%28f%28x%29%29%3B)
![g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1](https://tex.z-dn.net/?f=g%28f%28x%29%29%3D%284x%2B3%29-2%5C%5C%0Ag%28f%28x%29%29%3D4x%2B3-2%5C%5C%0Ag%28f%28x%29%29%3D4x%2B1)
learn more on composite functions here: brainly.com/question/10687170
ion know this one but go for A. cause 29 as a decimal is 2.9
Answer:
12/56 - divide both numerator and denominator by 4
3/14 - answer
~Hope this helps!!