Answer:
Step-by-step explanation:
Given a function
, we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value "
" to another "
".
The rate of change of
between
and
can be calculated as follows:
![Rate\hspace{3}of\hspace{3}change=f(x_2)-f(x_1)](https://tex.z-dn.net/?f=Rate%5Chspace%7B3%7Dof%5Chspace%7B3%7Dchange%3Df%28x_2%29-f%28x_1%29)
For:
![f(x)=x^2-2x+4](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-2x%2B4)
Let's find
and
, where:
![[x_1,x_2]=[-4,3]](https://tex.z-dn.net/?f=%5Bx_1%2Cx_2%5D%3D%5B-4%2C3%5D)
![f(x_1)=f(-4)=(-4)^2-2(4)+4=16-8+4=12\\f(x_2)=f(3)=(3)^2-2(3)+4=9-6+4=7](https://tex.z-dn.net/?f=f%28x_1%29%3Df%28-4%29%3D%28-4%29%5E2-2%284%29%2B4%3D16-8%2B4%3D12%5C%5Cf%28x_2%29%3Df%283%29%3D%283%29%5E2-2%283%29%2B4%3D9-6%2B4%3D7)
So:
![Rate\hspace{3}of\hspace{3}change =7-12=-5\hspace{3}Negative](https://tex.z-dn.net/?f=Rate%5Chspace%7B3%7Dof%5Chspace%7B3%7Dchange%20%3D7-12%3D-5%5Chspace%7B3%7DNegative)
And for:
![f(x)-3x+2](https://tex.z-dn.net/?f=f%28x%29-3x%2B2)
Let's find
and
, where:
![[x_1,x_2]=[-4,3]](https://tex.z-dn.net/?f=%5Bx_1%2Cx_2%5D%3D%5B-4%2C3%5D)
![f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7](https://tex.z-dn.net/?f=f%28x_1%29%3Df%28-4%29%3D-3%28-4%29%2B2%3D12%2B2%3D14%5C%5Cf%28x_2%29%3Df%283%29%3D-3%283%29%2B2%3D-9%2B2%3D-7)
So:
![Rate\hspace{3}of\hspace{3}change =-7-14=-21\hspace{3}Negative](https://tex.z-dn.net/?f=Rate%5Chspace%7B3%7Dof%5Chspace%7B3%7Dchange%20%3D-7-14%3D-21%5Chspace%7B3%7DNegative)
<em>Translation:</em>
Dada una función
, llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor "
" a otro "
".
La tasa de variación de
entre
y
, puede ser calculada de la siguiente forma:
![Tasa\hspace{3}de\hspace{3}variacion=f(x_2)-f(x_1)](https://tex.z-dn.net/?f=Tasa%5Chspace%7B3%7Dde%5Chspace%7B3%7Dvariacion%3Df%28x_2%29-f%28x_1%29)
Para:
![f(x)=x^2-2x+4](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-2x%2B4)
Encontremos
y
, donde:
![[x_1,x_2]=[-4,3]](https://tex.z-dn.net/?f=%5Bx_1%2Cx_2%5D%3D%5B-4%2C3%5D)
![f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7](https://tex.z-dn.net/?f=f%28x_1%29%3Df%28-4%29%3D-3%28-4%29%2B2%3D12%2B2%3D14%5C%5Cf%28x_2%29%3Df%283%29%3D-3%283%29%2B2%3D-9%2B2%3D-7)
Entonces:
![Tasa\hspace{3}de\hspace{3}variacion =7-12=-5\hspace{3}Negativa](https://tex.z-dn.net/?f=Tasa%5Chspace%7B3%7Dde%5Chspace%7B3%7Dvariacion%20%3D7-12%3D-5%5Chspace%7B3%7DNegativa)
Y para:
![f(x)-3x+2](https://tex.z-dn.net/?f=f%28x%29-3x%2B2)
Encontremos
y
, donde:
![[x_1,x_2]=[-4,3]](https://tex.z-dn.net/?f=%5Bx_1%2Cx_2%5D%3D%5B-4%2C3%5D)
![f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7](https://tex.z-dn.net/?f=f%28x_1%29%3Df%28-4%29%3D-3%28-4%29%2B2%3D12%2B2%3D14%5C%5Cf%28x_2%29%3Df%283%29%3D-3%283%29%2B2%3D-9%2B2%3D-7)
Entonces:
![Tasa\hspace{3}de\hspace{3}variacion=-7-14=-21\hspace{3}Negativa](https://tex.z-dn.net/?f=Tasa%5Chspace%7B3%7Dde%5Chspace%7B3%7Dvariacion%3D-7-14%3D-21%5Chspace%7B3%7DNegativa)
Answer: 42.21 km
Step-by-step explanation:
We can solve this using trigonometry, since we have the following data:
is the the angle of elevation
is the horizontal distance between the plane and the radar station
is the hypotenuse of the right triangle formed between the radar station and the airplane
Now, the trigonometric function that will be used is <u>cosine</u>:
because
is the adjacent side of the right triangle
Finding
:
8988989889 IDK hate doing the it but luv getting the answers
Answer:
Lorsque vous montez dans la voiture et sortez de l'aéroport, tournez à gauche. Lorsque vous arrivez à la bifurcation de la route, tournez à droite. Ensuite, vous continuerez à avancer. Vous devrez faire deux virages à gauche. À droite, vous verrez ma maison.
Step-by-step explanation: I had a similar project so I used mine as an example and I rewrote it. Hope this helps
Translation : When you first get in the car and exit the airport turn left. When you get to the fork in the road turn right. Then you will keep driving forward. You will have to make two left turns. To the right you will see my house.
Feel free to change up some words if you need to