<h3>
Answer: Choice B. 3 - 3x</h3>
Work Shown:
![g(x) = -x\\\\g(f(x)) = -f(x)\\\\g(f(x)) = -(3x-3)\\\\g(f(x)) = -3x+3\\\\g(f(x)) = \boldsymbol{3-3x}\\\\](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-x%5C%5C%5C%5Cg%28f%28x%29%29%20%3D%20-f%28x%29%5C%5C%5C%5Cg%28f%28x%29%29%20%3D%20-%283x-3%29%5C%5C%5C%5Cg%28f%28x%29%29%20%3D%20-3x%2B3%5C%5C%5C%5Cg%28f%28x%29%29%20%3D%20%5Cboldsymbol%7B3-3x%7D%5C%5C%5C%5C)
Explanation: We start with the outer function g(x). In the second step, we replace every copy of x with f(x). From there we plug in f(x) = 3x-3 and simplify using the distribution rule.
The notation
is the same as writing ![(g \circ f)(x)](https://tex.z-dn.net/?f=%28g%20%5Ccirc%20f%29%28x%29)
Remember this, 5 or higher goes up, 4 or lower the number stays the same. soooo.... lets see how i can start this off...
well,... you could....60 divided by 72 equals.... 0.8333333333333
then, starting from the decimal.. you go two spaces to the right... so thats 83.3333333333
so, since 3 is lower than 4, it would be the same.. and take off the extra three after the decimal. and we're basically... rounding off right??
so your answer should be 80%
Hope i helped!!! :D
Answer: Same
Step-by-step explanation:
<u>Given formula</u>
![Percent~of~change~=~\Large\frac{New~-~Original}{Original}*100\%](https://tex.z-dn.net/?f=Percent~of~change~%3D~%5CLarge%5Cfrac%7BNew~-~Original%7D%7BOriginal%7D%2A100%5C%25)
<u>Given information</u>
Troop A:
- Original (2010) = 14
- New (2011) = 16
Troop B:
- Original (2010) = 21
- New (2011) = 24
<u>Substitute values into the formula (</u><u>Troop A</u><u>)</u>
![Percent~of~change~=~\Large\frac{New~-~Original}{Original}*100\%](https://tex.z-dn.net/?f=Percent~of~change~%3D~%5CLarge%5Cfrac%7BNew~-~Original%7D%7BOriginal%7D%2A100%5C%25)
![Percent~of~change~=~\Large\frac{(16)~-~(14)}{(14)}*100\%](https://tex.z-dn.net/?f=Percent~of~change~%3D~%5CLarge%5Cfrac%7B%2816%29~-~%2814%29%7D%7B%2814%29%7D%2A100%5C%25)
<u>Simplify the fraction</u>
![Percent~of~change~=~\Large\frac{2}{14}*100\%](https://tex.z-dn.net/?f=Percent~of~change~%3D~%5CLarge%5Cfrac%7B2%7D%7B14%7D%2A100%5C%25)
![Percent~of~change~=~\Large\frac{1}{7}*100\%](https://tex.z-dn.net/?f=Percent~of~change~%3D~%5CLarge%5Cfrac%7B1%7D%7B7%7D%2A100%5C%25)
![Percent~of~change~\approx~14.29\%](https://tex.z-dn.net/?f=Percent~of~change~%5Capprox~14.29%5C%25)
<u>Substitute values into the formula (</u><u>Troop B</u><u>)</u>
![Percent~of~change~=~\Large\frac{New~-~Original}{Original}*100\%](https://tex.z-dn.net/?f=Percent~of~change~%3D~%5CLarge%5Cfrac%7BNew~-~Original%7D%7BOriginal%7D%2A100%5C%25)
![Percent~of~change~=~\Large\frac{(24)~-~(21)}{(21)}*100\%](https://tex.z-dn.net/?f=Percent~of~change~%3D~%5CLarge%5Cfrac%7B%2824%29~-~%2821%29%7D%7B%2821%29%7D%2A100%5C%25)
<u>Simplify the fraction</u>
![Percent~of~change~=~\Large\frac{3}{21}*100\%](https://tex.z-dn.net/?f=Percent~of~change~%3D~%5CLarge%5Cfrac%7B3%7D%7B21%7D%2A100%5C%25)
![Percent~of~change~=~\Large\frac{1}{7}*100\%](https://tex.z-dn.net/?f=Percent~of~change~%3D~%5CLarge%5Cfrac%7B1%7D%7B7%7D%2A100%5C%25)
![Percent~of~change~\approx~14.29\%](https://tex.z-dn.net/?f=Percent~of~change~%5Capprox~14.29%5C%25)
<u>Compare the two percent of change</u>
![Troop~A~v.s.~Troop~B](https://tex.z-dn.net/?f=Troop~A~v.s.~Troop~B)
![14.29\%~=~14.29\%](https://tex.z-dn.net/?f=14.29%5C%25~%3D~14.29%5C%25)
Therefore, they are ![\Large\boxed{Same}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7BSame%7D)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
(3,-6)
Step-by-step explanation:
[1] x - 2y = 15
[2] 2x + 4y = -18
Graphic Representation of the Equations :
-2y + x = 15 4y + 2x = -18
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 2y + 15
// Plug this in for variable x in equation [2]
[2] 2•(2y+15) + 4y = -18
[2] 8y = -48
// Solve equation [2] for the variable y
[2] 8y = - 48
[2] y = - 6
// By now we know this much :
x = 2y+15
y = -6
// Use the y value to solve for x
x = 2(-6)+15 = 3
Solution :
{x,y} = {3,-6}