This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=first term, d=common difference, n=term number.
We know a=1 and d=7 so:
a(n)=1+7(n-1)
a(n)=1+7n-7
a(n)=7n-6
The above is the "rule" for the nth term.
<LMP and <NMP are supplementary angles so sum = 180
<LMP + <NMP = 180
(-16x + 13) + ( - 20x + 23) = 180
-16x + 13 - 20x + 23 = 180
-36x + 36 = 180
-36x = 144
x = -4
<LMP = -16x + 13 = -16(-4) + 13 = 77
<NMP = - 20x + 23 = - 20(-4) + 23 = 103
Answer
<LMP = 77°
<NMP = 103°
Answer:
1.
Vert. asymptote: x = {-3, 2}
Horiz. asymptote: y = 0
x-int: None
Question 3.
a. There is no hole
b. Vert. asymptote: x = {-2, 2}
c. f(x) = 0: x = {0, -1/2}
d. The graph has no hole at (-2, 4)
Question 4.
a. Vert. asymptote: x = {-2, 2}
b. f(x) = 0: x = {0, -1/2}
c. Horizontal asymptote: y = 2
d. The graph has no hole
I'm a bit confused. Some of the things stated in the question aren't true like how there are holes in places where there aren't.
The answer will be definitely be A don’t listen
