6. Marie has a monthly cell phone plan that has a fixed charge of $12 per month plus $0.10 per text message. Marie wants to spend no more than $40 per month on her cell phone. Which inequality
represents the number of text messages, x, that Marie can use in a month?

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

answer: the answer is fre sha voca do

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: