Company A-> charges $75 and unlimited millage.
Company B-> initial fee $55 and charges +$0.8 for every mile driven.
The inequality that represents for what millage will company A charges less than company B is:
Let m be the number of miles
[tex]\begin{gathered} 75<55+0.8m \\ 75-55<0.8m \\ 20<0.8m \\ \frac{20}{0.8}For 25 miles company A will charge less than company B.
Given:
Consider the expression is

To find:
The simplified form of the given expression.
Solution:
We have,

Using the properties of exponents, we get
![\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5Cright%5D)


Therefore, the simplified form of the given expression is
.
Answer:
The Slope is 9 and the y-intercept is -2
Step-by-step explanation:
Step-by-step explanation:
Equation of straight line is y=mx+c
choose any two points on straight line
for me I choose:(-3,11) and (3,-1)
use these two points to find gradient,m.
m= (-1-11)/(3-(-3))
m= -2
now, y=-2x+c
choose any point on the straight line
I choose point (3,-1)
sub the point into the equation to find c
-1=-2(3)+c
c=5
equation: y=-2x+5