Answer:
0
Step-by-step explanation:
<u>Step 1: Make common denominators</u>
What is the LCM of 21 and 7: 7
So, we need to convert both fractions into a 21 denominator.
<em>15/21 * 1/1 = 15/21</em>
<em>5/7 * 3/3 = 15/21</em>
<em />
<u>Step 2: Subtract the numbers</u>
15/21 - 5/7 is same as 15/21 - 15/21
15/21 - 15/21
<em>0</em>
<em />
Answer: 0
I'm assuming the limit is supposed to be
Multiply the numerator by its conjugate, and do the same with the denominator:
so that in the limit, we have
Factorize the first term in the denominator as
The 
terms cancel, leaving you with
and the limand is continuous at 
, so we can substitute it to find the limit has a value of -1/18.
Answer:
C. Line 3
Step-by-step explanation:
That's not a function.
Since a vertical line hits the graph more than once, if fails the test. (See graph below)
If it is a function, any vertical line you draw can only hit the graph once.
Remark
The line you want is parallel to y = - 2x + 3
That means it has the same slope as the given line. The given line has a slope of -2
y = -2x + b is what you have so far. Now you have to use the point to get b
y = - 100
x = - 100
Solve for b
-100 = -2(-100) + b
-100 = 200 + b Notice the sign change. Two minus's make a plus. Subtract 200 from both sides.
- 100 - 200 = b
- 300 = b
Answer
y = - 2x - 100
