We are given
Vertical asymptotes:
Firstly, we will factor numerator and denominator
we get

We can see that (x-3) is common in both numerator and denominator
so, we will only set x+3 to 0
and then we can find vertical asymptote


Hole:
We can see that (x-3) is common in both numerator and denominator
so, hole will be at x-3=0

Horizontal asymptote:
We can see that degree of numerator is 2
degree of denominator is also 2
for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator
and we get
y=1
now, we can draw graph
Graph:
Using the rational root theorem, it is found that your friend is correct.
<h3>What is the rational root theorem?</h3>
- It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format
.
In this problem:
- The leading coefficient is 1, hence it's only factor is
, thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.
To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559
I don't know how you expand it but the answer is 3x + 25 unless that's expanding.
Answer with explanation:
The equation which we have to solve by Newton-Raphson Method is,
f(x)=log (3 x) +5 x²

Initial Guess =0.5
Formula to find Iteration by Newton-Raphson method




So, root of the equation =0.205 (Approx)
Approximate relative error

Approximate relative error in terms of Percentage
=0.41 × 100
= 41 %
Answer:
$2.5389
Step-by-step explanation:
Given data
Cost of lunch = $2.34
Tax= 8.5%
Let us compute the cost of the tax
=8.5/100*2.34
=0.085*2.34
= $0.1989
Hence the total is = 0.1989+2.34
=$2.5389