Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
The function is given by:
[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
The horizontal asymptote is the limit of the function as x goes to infinity, hence:
[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
Considering only the terms with the highest exponents:
[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]
Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
For more on horizontal asymptotes and limits, you can check https://brainly.com/question/11598999
If 24 people fit in 12 RVs,
How many people are in each RV?
Answer:
2 people per RV.
Step-by-step explanation:
24 / 12 = 2
I need help in algebra
Answer: 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
How to solve
× + 5 = 13
subtract from both sides of the equation.
× + 5 - 5 = 13 - 5
13 - 5= 8
please give me brainliest and a thanks.
(9u+w)^2
(use foil).................
Answer:
Step-by-step explanation:
(9u + w)(9u + w)
f: 9u * 9u = 81 u^2
o: 9u * w
i: 9u* w
l: w * w = w^2
Result
81u^2 + 9uw + 9uw + w^2
81u^2 + 18uw + w^2
can someone give me the answer no explaining
Answer:
Greater than
Step-by-step explanation:
Answer:
5/3 is greater
Step-by-step explanation:
Use the conjugate to divide1 - i / square root of 3 + 4i
Answer:
Step-by-step explanation:
(1 - i) / (sqrt(3 + 4i)
= (1 - i) / [tex]\sqrt{3 + 4i}[/tex]
=> multiply and divide by conjugate of denominator
= [tex](1 - i) / \sqrt{3 + 4i} * \sqrt{3 - 4i} / \sqrt{4 - 3i}[/tex]
= [tex](1 - i)*(\sqrt{3 - 4i} ) / (\sqrt{3 + 4i} *\sqrt{3 - 4i})[/tex]
= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - 16i^{2} )[/tex]
= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - (-16) )[/tex]
= [tex](1 - i) * \sqrt{3 - 4i} ) / \sqrt{25}[/tex]
= [tex](1 - i) * \sqrt{3 - 4i} / 5[/tex]
= [tex]\sqrt{(1 - i)^{2} } * \sqrt{3 - 4i} / 5[/tex]
= [tex]\sqrt{(1 + -1 -2i)*(3 - 4i)} / 5 \\\sqrt{-2i * (3 - 4i)} / 5\\\sqrt{-6i + 8*-1} /5 \\\sqrt{-6i - 8 } / 5[/tex]
man to be honest there is a girl i really like should i tell her how i feel
Answer:
I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.
write 65% as term fraction in its lowest a
Answer:
13/20
Step-by-step explanation:
65% = 65/100 = 13/20
Hoped this helped.
Answer:
13/20
Step-by-step explanation:
Professor Baird wants to mix a solution
containing 10% acid with one containing 15%
acid to obtain a 20-ounce solution containing
12% acid. How many ounces of the 10% solution
should the professor use?
Answer:
The answer is 12 ounces :)
Step-by-step explanation:
help me with this please!?!?!?!?!
Answer:
17/4
Step-by-step explanation:
add the fractions
A cyclist travels 9.6 km in 30 minutes. What is his average speed in km/h?
Answer:
[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]
Step-by-step explanation:
Average speed = distance/time
Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour
Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]
If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate
Answer:
6%
Step-by-step explanation:
I =Prt I being interest paid, P is Principal, r is rate, t is term
2400=4000x r x 10
2400=40000r
2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6
Find the value of the variable(s) in each figure explain your reasoning.
Answer:
...............................
Please Help Me Solve This! I Need Help Now!
Correct Answer = Brainliest
Answer:
Switzerland tickets: $13.53
Japan tickets: $ 17.36
Step-by-step explanation:
A candle is 14 inches tall. Once the candle is lit, it burns at a rate of 0.8 inches per hour. How many hours will the candle last?
Answer:
about 14 to 15 hours if it burns at that speed while it is burning
Answer:
17.5
Step-by-step explanation:
How many students read in 15 minutes between 8am and 9am
Olivia has blue, pink and orange counters in a bag.
The ratio of blue to pink to orange counters is 4:5:2
(a) What fraction of the counters are blue?
(b) What fraction of the counters are orange?
Answer:
A. 4/11
B. 2/11
Step-by-step explanation:
Use the given values to find the fractions (4+5+2=11)
Need only #6 done (Show work) will give brainliest
Answer:
See belowStep-by-step explanation:
Statements | Reasons
C is the midpoint of AB | Given
AC = 2x + 1 | Given
CB = 3x - 4 | Given
AC = CB | Definition of midpoint
2x + 1 = 3x - 4 | Substitution property
3x - 2x = 1 + 4 | Addition property of equality
x = 5 | Proved
The line is as below:
A-----------------C----------------B
2x + 1 3x - 4
Can someone please help me
Answer:
[tex]y = + - \sqrt[4]{ \frac{3}{2} x} [/tex]
HELPPPPPP PLSSSSSSSSS
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
Given, ∠POR=120
o
Hence, ∠POR=2∠PQR (half angle property)
∠PQR=
2
1
×120
o
=60
o
PQRS is a cyclic quadrilateral
∴∠PQR+∠PSR=180
o
∠PSR=180−60
∠PSR=120
o
If it took 3 hours to clean 5 houses, how many houses could be cleaned in 9 hours?
Where does the word logarithm come from.
Answer:
Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos
Pls help will give 10 pts
Answer:
276 guests
Step-by-step explanation:
Let the number of guests be n. We are to find the value of n.
Then (1/3)n + (5/12)n + 69 = n, or
(9/12)n + 69 = n or (12/12)n
Solving for n, we get (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276
There were 276 guests at the wedding.
Check: Does (1/3)(276) + (5/12)(276) + 69 work out to 276? yes
a person whose height is 6 feet is walking away from the base of a streetlight
SOMEONE TELL ME WHAT THIS IS PLEASE ( much appreciated if you do help with this question )
Answer:
6x^8 y^5
Step-by-step explanation:
Blair's average on the first five in-class tests is 67. If this is not pulled up to at least a 70,
Blair will not be allowed to watch any more of their favorite Netflix shows. To avoid
losing those access privileges, what is the lowest score Blair can afford to earn on the last
in-class test? Assume that all tests carry equal weight.
Answer:
85
Step-by-step explanation:
x/5 = 67
x=335
(x+y)/6 = 70
(335+y)/6 = 70
335+y=420
y=85
Answer:
85
Step-by-step explanation:
Average is calculated as
average = [tex]\frac{sum}{count}[/tex]
Here
[tex]\frac{sum}{5}[/tex] = 67 ( multiply both sides by 5 )
sum = 335
let x be the mark required to raise average to 70 , then
[tex]\frac{335+x}{6}[/tex] = 70 ( multiply both sides by 6 )
335 + x = 420 ( subtract 335 from both sides )
x = 85
Blair must score at least 85 on his last test
How many kilograms would the Beagle be?
33 kg
5 kg
15 kg
8 kg
WILL MARK BRAINLY NO BOTS
Answer:
I think it would be 15 kg I'm not sure
A group of 40 people goes to a football game. Each ticket to the game costs $55. Each person pays $8 for transportation to and from the game. What is the total cost for the 40 people to go to the game?
Work out the percentage change when a price of £40 is decreased to £18
y+7=2(x+5) in standard form
Answer:
[tex]2x-y=-3[/tex]
Step-by-step explanation:
[tex]\mathrm{The\: standard\: form\: of\: a \:linear \:equation \:is}:\mathrm{A}x+\mathrm{B}y=\mathrm{C.}[/tex]
[tex]\underline{\sf{Solve\:for\:}y}:[/tex]
[tex]y+7=2(x+5)[/tex]
[tex]=y+7=2x+2\cdot5[/tex]
[tex]= y+7=2x+10[/tex]
[tex]=(y+7)+(-7)=(2x+10)+(-7)[/tex]
[tex]=y+7-7=2x+10-7[/tex]
[tex]\underline{y=2x+3}[/tex]
miss tan has 20 boys and 15 girls in her English class.What percent of the student are girls?
Step-by-step explanation:
it's 42.85 percent that you can say 42 or maybe 43
