Answer:
First you need to get your variable(x) by itself.
You do that by adding 16 to both sides of the greater than sign.
The 16 cancels or goes away. and 16 + 4 =20.
Your new equation is 20<4x
Finally you divide 20 by 4 to get 5
Your answer is 5<x or x>5.
I'm sorry I really don't know I'm not really good with math that's why I got them brainly for other people's help because I really not that cool math and I'm homeschooled
Answer:
There are 80 animals.
Step-by-step explanation:
Let the number of cats be 4x and the number of dogs be x.
4x = 64
x = 64 ÷ 4
= 16
Total no. of animals = 4x + x
= 5x
5x = 16 × 5
= 80
Answer:
73.68
Step-by-step explanation:
Rhino= 487
Pigs= 115
Difference = 487-115= 372
%age=( 372/487)*100= 73.68
Answer:
![c=6](https://tex.z-dn.net/?f=c%3D6)
Step-by-step explanation:
The absolute maximum of a continuous function
is where
. Therefore, we must differentiate the function and then set
and
to determine the value of
:
![f(x)=xe^{-x}+ce^{-x}](https://tex.z-dn.net/?f=f%28x%29%3Dxe%5E%7B-x%7D%2Bce%5E%7B-x%7D)
![f'(x)=-xe^{-x}+e^{-x}-ce^{-x}](https://tex.z-dn.net/?f=f%27%28x%29%3D-xe%5E%7B-x%7D%2Be%5E%7B-x%7D-ce%5E%7B-x%7D)
![0=-(-5)e^{-(-5)}+e^{-(-5)}-ce^{-(-5)}](https://tex.z-dn.net/?f=0%3D-%28-5%29e%5E%7B-%28-5%29%7D%2Be%5E%7B-%28-5%29%7D-ce%5E%7B-%28-5%29%7D)
![0=5e^{5}+e^{5}-ce^{5}](https://tex.z-dn.net/?f=0%3D5e%5E%7B5%7D%2Be%5E%7B5%7D-ce%5E%7B5%7D)
![0=e^5(5+1-c)](https://tex.z-dn.net/?f=0%3De%5E5%285%2B1-c%29)
![0=6-c](https://tex.z-dn.net/?f=0%3D6-c)
![c=6](https://tex.z-dn.net/?f=c%3D6)
Therefore, when
, the absolute maximum of the function is
.
I've attached a graph to help you visually see this.