Polynomial division yields
![\dfrac{7x^2}{x^2+5}=7-\dfrac{35}{x^2+5}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%5E2%7D%7Bx%5E2%2B5%7D%3D7-%5Cdfrac%7B35%7D%7Bx%5E2%2B5%7D)
As
![x\to\pm\infty](https://tex.z-dn.net/?f=x%5Cto%5Cpm%5Cinfty)
, you have the remainder term approaching
![0](https://tex.z-dn.net/?f=0)
, so the horizontal asymptote is the line
![y=7](https://tex.z-dn.net/?f=y%3D7)
.
Answer:
Part A: L(-1,9) M(-4,3) N (-8,5)
Step-by-step explanation:
Answer:
65 degrees
Step-by-step explanation:
An exterior angle form a linear pair with an interior angle.
A linear pair of angles must add up to 180 degrees
180-115 = 65
part a y= x × 100
Step-by-step explanation:
1 bar is 100 calories so you would times it by 100 for every bar
Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,
r = 6/- 2 = - 18/6 = - 3
Therefore, the sequence is geometric.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = - 2
r = - 3
The explicit formula is
Tn = - 2 × (- 3)^(n - 1)
To find the 8th term, T8,
T8 = - 2 × (- 3)^(8 - 1)
T8 = - 2 × (- 3)^7
T8 = - 2 × - 2187
T8 = 4374