Answer:
B . 
Step-by-step explanation:
<u>Arithmetic sequence</u>:-
Step1:
Given sequence is 
Above sequence taking numerator terms
3,6,9,12,15 are in arithmetic progression
First term a= 3 and difference d = 3
now n t h term of given sequence is

now substitute a =3 and d=3

Step2:-
Above sequence taking denominator
4,5,6,7,8...
here a=4 and d=1



Final answer is the general term of given sequence is

Answer: FIRST OPTION.
Step-by-step explanation:
First, it is important to remember that the Slope-Intercept form of the equation of a line is the shown below:

Where "m" is the slope of the line and "b" is the y-intercept.
By definiton, given a System of Linear equations, if they are exactly the same line, then the System of equations have Infinely many solutions.
In this case you have the following System of Linear equations given in the exercise:

So, since you need the system has Infinite solutions, you know that the slope and the y-intercept of both lines must be equal.
Therefore, you can identify that the value of "a" and "b" must be the following:

So the Linear System would be the shown below:

Answer:
You have to put in the whole word problem
Step-by-step explanation:
Answer:
b) $49
Step-by-step explanation:
The question here is not if Alexis can mow the lawn faster or slower than the person who hires (actually, the time that the person hired took to mow the lawn is irrelevant).
The important part is the time Alexis can save hiring someone:
- Alexis mow her lawn in 30 minutes.
- Alexis earns $100 an hour. Then 30 minutes of her time is worthy $50.
Then, paying $50 or less is a good choice for Alexis.
Therefore the answer is b) $49.
The answer is 2.6. I could be wrong.