Answer:
The graph is attached below.
Step-by-step explanation:
<em>As you have not added the graph, so I will be solving the function for a graph.</em>
Given the function
![f\left(x\right)=x-\frac{1}{x^2}-x-6](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3Dx-%5Cfrac%7B1%7D%7Bx%5E2%7D-x-6)
![x-\mathrm{axis\:interception\:points\:of\:}-\frac{1}{x^2}-6:](https://tex.z-dn.net/?f=x-%5Cmathrm%7Baxis%5C%3Ainterception%5C%3Apoints%5C%3Aof%5C%3A%7D-%5Cfrac%7B1%7D%7Bx%5E2%7D-6%3A)
![\mathrm{x-intercept\:is\:a\:point\:on\:the\:graph\:where\:}y=0](https://tex.z-dn.net/?f=%5Cmathrm%7Bx-intercept%5C%3Ais%5C%3Aa%5C%3Apoint%5C%3Aon%5C%3Athe%5C%3Agraph%5C%3Awhere%5C%3A%7Dy%3D0)
![-\frac{1}{x^2}-6=0](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7Bx%5E2%7D-6%3D0)
![-1-6x^2=0](https://tex.z-dn.net/?f=-1-6x%5E2%3D0)
![\mathrm{No\:Solution\:for}\:x\in \mathbb{R}](https://tex.z-dn.net/?f=%5Cmathrm%7BNo%5C%3ASolution%5C%3Afor%7D%5C%3Ax%5Cin%20%5Cmathbb%7BR%7D)
![\mathrm{No\:x-axis\:interception\:points}](https://tex.z-dn.net/?f=%5Cmathrm%7BNo%5C%3Ax-axis%5C%3Ainterception%5C%3Apoints%7D)
![y-\mathrm{axis\:interception\:point\:of\:}-\frac{1}{x^2}-6:](https://tex.z-dn.net/?f=y-%5Cmathrm%7Baxis%5C%3Ainterception%5C%3Apoint%5C%3Aof%5C%3A%7D-%5Cfrac%7B1%7D%7Bx%5E2%7D-6%3A)
![y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0](https://tex.z-dn.net/?f=y%5Cmathrm%7B-intercept%5C%3Ais%5C%3Athe%5C%3Apoint%5C%3Aon%5C%3Athe%5C%3Agraph%5C%3Awhere%5C%3A%7Dx%3D0)
As we know that the domain of a function is the set of input or argument values for which the function is real and defined.
![\mathrm{Domain\:of\:}\:-\frac{1}{x^2}-6\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)\end{bmatrix}](https://tex.z-dn.net/?f=%5Cmathrm%7BDomain%5C%3Aof%5C%3A%7D%5C%3A-%5Cfrac%7B1%7D%7Bx%5E2%7D-6%5C%3A%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%3C0%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax%3E0%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A0%5Cright%29%5Ccup%20%5Cleft%280%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
![\mathrm{Since}\:x=0\:\mathrm{is\:not\:in\:domain}](https://tex.z-dn.net/?f=%5Cmathrm%7BSince%7D%5C%3Ax%3D0%5C%3A%5Cmathrm%7Bis%5C%3Anot%5C%3Ain%5C%3Adomain%7D)
![\mathrm{No\:y-axis\:interception\:point}](https://tex.z-dn.net/?f=%5Cmathrm%7BNo%5C%3Ay-axis%5C%3Ainterception%5C%3Apoint%7D)
![\mathrm{Asymptotes\:of}\:-\frac{1}{x^2}-6:\quad \mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-6](https://tex.z-dn.net/?f=%5Cmathrm%7BAsymptotes%5C%3Aof%7D%5C%3A-%5Cfrac%7B1%7D%7Bx%5E2%7D-6%3A%5Cquad%20%5Cmathrm%7BVertical%7D%3A%5C%3Ax%3D0%2C%5C%3A%5Cmathrm%7BHorizontal%7D%3A%5C%3Ay%3D-6)
![\mathrm{Range\:of\:}-\frac{1}{x^2}-6:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)](https://tex.z-dn.net/?f=%5Cmathrm%7BRange%5C%3Aof%5C%3A%7D-%5Cfrac%7B1%7D%7Bx%5E2%7D-6%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Af%5Cleft%28x%5Cright%29%3C-6%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A-6%5Cright%29%5Cend%7Bbmatrix%7D)
The graph is attached below.
Answer:
7.5 < x≤10.5
Step-by-step explanation:
14<2x−1≤20
Add 1 to all sides
14+1<2x−1+1≤20+1
15<2x≤21
Divide each side by 2
15/2 <2x/2 ≤21/2
7.5 < x≤10.5
Answer: the average speed = 6 miles/hour
Step-by-step explanation:
Average speed is ( total distance ) / ( total time )
For the 1st 6 miles
6=4.t
t=1.5 hrs
let s = speed for last 2.5 hrs
hope it helps
mark me brainliest pls
Answer:
subtract
Step-by-step explanation:
16 from 9
n = 9 - 16
n = -7
M is also the midpoint of the diagonal BD.
In a parallelogram, the diagonals are perpendicular bisectors of each other. That means that midpoint of one of the diagonals is also the midpoint of the other diagonal.