Answer:
"General Formulas" in mathematics is the general equation you can use for certain things, by just adding the numbers given to the equation so that you can solve the problem.
Form example:
The general formula to find the y-intercept: y=mx+b
Hope this helped!
Have a nice day:)
Answer:
The graph of the function
is attached below.
Step-by-step explanation:
Considering the function
![f\left(x\right)=\:\log _{10}\:x-3](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3D%5C%3A%5Clog%20_%7B10%7D%5C%3Ax-3)
![\mathrm{Domain\:of\:}\:\log _{10}\left(x\right)-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}](https://tex.z-dn.net/?f=%5Cmathrm%7BDomain%5C%3Aof%5C%3A%7D%5C%3A%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29-3%5C%3A%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%3E0%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%280%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
![\mathrm{Range\:of\:}\log _{10}\left(x\right)-3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:](https://tex.z-dn.net/?f=%5Cmathrm%7BRange%5C%3Aof%5C%3A%7D%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29-3%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3A-%5Cinfty%20%5C%3A%3Cf%5Cleft%28x%5Cright%29%3C%5Cinfty%20%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
<u><em>Determining x-intercept:</em></u>
![\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)
![\log _{10}\left(x\right)-3=0](https://tex.z-dn.net/?f=%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29-3%3D0)
![\log _{10}\left(x\right)=3](https://tex.z-dn.net/?f=%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%3D3)
Using the logarithmic definition
![\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c](https://tex.z-dn.net/?f=%5Cmathrm%7BIf%7D%5C%3A%5Clog%20_a%5Cleft%28b%5Cright%29%3Dc%5C%3A%5Cmathrm%7Bthen%7D%5C%3Ab%3Da%5Ec)
![\log _{10}\left(x\right)=3\quad \Rightarrow \quad \:x=10^3](https://tex.z-dn.net/?f=%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%3D3%5Cquad%20%5CRightarrow%20%5Cquad%20%5C%3Ax%3D10%5E3)
![x=1000](https://tex.z-dn.net/?f=x%3D1000)
so the x-intercept = (1000, 0)
<u><em /></u>
<u><em>Determining y-intercept:</em></u>
![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)
![\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)
Therefore, the graph of the function
is attached below.
Just simply divide
4 divided by 5= .8
So 8 tenths are equal to 4/5