Answer: Option b.
Step-by-step explanation:
1. You can rewrite it as following:

This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 2, no matter the value of x.


This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 1, no matter the value of x.

2. Then:

3. The answer 2.
9514 1404 393
Answer:
(c) 5x and 3x, and 4 and 1
Step-by-step explanation:
Like terms have the same variable(s) to the same power(s).
The terms of this expression are ...
- x^3: variable x, power 3
- 5x: variable x, power 1
- -3x: variable x, power 1
- 3y: variable y, power 1
- 4: no variable
- -1: no variable
The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.
<u>Answer:</u>
The equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is 
<u>Solution:</u>
Given that line passes through (-2, -6) and has slope of 1/3
We have to find the equation of the line
The point slope form is given as

where m is the slope of the line and a, b are the x, y coordinates of the given point through which the line passes.
Here in this question, m = 1/3 and a = -2 and b = -6
By substituting in point slope form we get,

Hence the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is 
Answer:
10 < x < 20
Step-by-step explanation:
the sum of any two sides of a triangle has to be greater than the 3rd side, so the maximum value of the third side in this instance is 19.9999999 because 10 + 10 = 20
Answer:
a) y = 9x
b) For every increase of 1 hour the price to rent the lane increases by $9.
c) $27
Step-by-step explanation:
a) Since it costs $18 for 2 hours we can infer that for every 1 hour it costs $9.
So, the equation would look like this:
y = 9x
b) In this context, for every increase of 1 hour the price to rent the lane increases by $9. Like the question gave us, the price for 2 hours cost $18.
c) Plug 3 into the equation:
y = 9(3)
y = 27
Therefore, it costs $27 to rent the lane for 3 hours.
<em>I hope this helps!!</em>
<em>- Kay :)</em>