How to tell if the shape on a dot plot is symmetric or not symmetric

1 answer:

7 0

Idk if this helped you but , symmetric forms a mirror image of itself when reflected in its vertical line ( u shape ) and symmetric bell shaped is when you draw the vertical line at the center

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1. determine if the functions are inverse functions

kirill115 [55]

Answer:

Question 1

The function $f(x) = x + 6$ is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so $f^{-1}(x)=x-6$

Therefore, g(x) is the inverse of f(x).

Question 2

The function $f(x) = -3x -9$ is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

$\implies y = -3x -9$

Rearrange the equation to make x the subject:

$\implies y+9= -3x$

$\implies x=-\dfrac13(y+9)$

$\implies x=-\dfrac13y-3$

Replace x with $f^{-1}(x)$ and y with x:

$\implies f^{-1}(x)=-\dfrac13x-3$

Therefore, g(x) is the inverse of f(x).

5 0

1 year ago

A certain jet can reach an altitude of 8000 ft while flying 16000 ft through the air. what is the angle of the elevation that th

irina1246 [14]

Answer:

27 degrees

Step-by-step explanation:

First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.

We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees