5x>/ 45
at least means it can be 45 and up
So it becomes greater than or equal to
Answer:
We can note that this part of the graph is a linear function. This means that is has a general form: y = mx + c where m is the slop and c is the y-intercept (value of y at x=0). For the slope, we will use the points (0,2) and (3,5) to calculate it as follows: m = (y2-y1)/(x2-x1) = (5-2)/(3-0) = 1 For the y-intercept, we can note that at x=0, the value of y is 2. This means that the equation of the first part of the graph is: y = x + 2
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/703068-which-rules-define-the-function-graphed-below.html
Distinct prime factors are factors that can not be reduced any further.... Such factors are like 3,5, and 7.
Answer: x=34
Step-by-step explanation:
1. You subtract 2x from 5x on the other side to get rid of the 2x leaving you with 3x.
2. Then you add 5 to 97 to get rid of the -5, giving you 102 on the opposite side.
3. divide 102 by 3x giving you 34.
5x-5=2x+97
-2x -2x
3x-5=97 <u><em>X=102</em></u>
+5 +5
3x=102
x/3 102/3
It seems confusing, but it's just breaking down the steps for you. It's done the same as any other word problem.
a. The unknown is how many minutes she used beyond the plan. So, we'll use "m" for the variable, to represent minutes.
b. 73.40 = 65 + 0.10m
The 73.40 is the total, which is why it's by itself. 65 represents the price per month for the plan, and 0.10m is the price per extra minute multiplied by the unknown amount of minutes used.
c. 73.40 = 65 + 0.10m
8.40 = 0.10m
84 = m
d. The number of minutes that Allegra went over the time that the plan allows is found by solving the equation we just wrote and solved. $0.10 is paid for every minute past the plan's allowance, meaning that "m" in the equation, when solved, shows us exactly how many minutes over Allegra went.