The horizontal asymptote of the function f(x) = (x - 2)/(x - 3)²is;
A: y = 0
We are given the function;
f(x) = (x - 2)/(x - 3)²
Expanding the denominator gives us;
f(x) = (x - 2)/(x² - 6x + 9)
The rules for a horizontal asymptote are;
If the degree of the polynomials in both denominator and numerator of a rational function are the same, then the horizontal asymptote will be expressed as the quotient of coefficients of the highest degree terms.If the polynomial of the denominator has a larger degree than the numerator, then the horizontal asymptote will be y = 0.In our given expression, we can see that the degree of the denominator polynomial is greater than that of the numerator and as such the horizontal asymptote is y = 0.
Read more about horizontal asymptote at; https://brainly.com/question/6459599
Select all of the expressions that are equivalent to 18x+6.
4 points
10 (2x + 1) - 2x - 4
6 (3x + 1)
0 Option 1
D Option 2
10 (2x + 1) + 2x - 4
(1 + 3x) 6
Option 3
Option 4
2 (8x + 3) + 2x
Answer: Option 2
Step-by-step explanation:
6(¹⁸ˣ⁄₆+ ⁶⁄₆)
Simplified: 6(3x+1)
what’s the answer please i don’t need work shown :)
Answer:
102
You didn't ask for work and I shall respect your wish
What pre-reading strategy would help you determine which items or information might be important to learn?
Answer:
Discussion.
Pictures.
The title.
Story telling.
Short conversations.
Step-by-step explanation:
You're playing a fantasy game that allows you to create your own character. There are 5 options for the
race of the character, and there are 3 options for the character's main tool.
If you randomly choose the race and the tool, which of these diagrams can be used to find all of the
possible outcomes?
Answer:
A i think
Step-by-step explanation:
If you're interested in anime, I have recommendations in the comments.
Answer:
I am an anime weeb I have posters in my room
Step-by-step explanation:
Answer:
I'm definitely interested! I'm super new to anime, I just started watching MHA in April.
PLEASE HELP ILL GIVE BRAINLIEST !!! 100 POINTS !! NO FAKE ANSWERS !
Answer:
qweqw
Step-by-step explanation:
qeqe
Give the coordinates of point A.
Answer: -2,-5
Step-by-step explanation:
The red point is located in the 3rd quadrant in the graph. So that means both the y and the x are negative. So first you go by the x value, the point is located on the 2 space left (-) from the origin (center) of the graph and then you have to go 5 spaced down (-). So point A is located at (-2,-5).
anthony went on a bike ride. He rode two-thirds of a mile in three-fourths of an hour. What was his biking speed in miles per hour?
Paul is selling $2 raffle tickets for his baseball team. He needs to sell at least
$230 worth of tickets to earn a team jacket. If he has already sold $50 worth of tickets, how many more raffle tickets, x, does Paul need to sell to earn a team jacket?
Answer: 90 more tickets
Step-by-step explanation:
230 - 50 = 180
180 divided by 2 = 90 tickets
help me please I dont know this
Answer:
answer: 384
Step-by-step explanation:
Hello! cubes are very simple! since there all the same measure and 6 faces all we have to do is 8 × 8 = 64 sense we know 1 face is 64 we just have to multiply by 6 cause there is 6 faces so
64 × 6 = 384 Hope this helps you!
FREE POINT GIVE AWAY!!!!!! Just solve my equation 5*4+2=? (I already know the answer)
Answer:
22
Step-by-step explanation:
I did the math in my head sooo if it's wrong I know why
Find the value of x.
120°
97°
xo
130°
150°
X=
Answer: X= 133
Step-by-step explanation:
What is the area?
5 mi
3 mi
square miles
Answer:
15 square miles
Step-by-step explanation:
For area you multiply length times width.
5×3 = 15
2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP
Answer:
5555555555555555555555555555555555555 trust
Step-by-step explanation:
500% of what number is 1,450?
Answer:
34.48 maybe
Step-by-step explanation:
Answer:
Step-by-step explanation:
1450÷500%
1450÷5.0 = 290
How to translate f(x)(blue) to g(x) red?
Answer:
g(x) = [tex]\sqrt{x+2}[/tex] - 3
Step-by-step explanation:
g(x) = [tex]\sqrt{x+2}[/tex] - 3
need help asappppppp
Answer:
for what
Step-by-step explanation:
Write each phrase as an algebraic expression.
16 seconds faster than Aya’s time.
Given:
The given phrase is 16 seconds faster than Aya’s time.
To find:
The algebraic expression for the given phrase.
Solution:
Let x be the Aya’s time.
16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.
We know that a negative sign "-" is used for less than.
16 seconds less than Aya’s time = [tex]x-16[/tex]
16 seconds faster than Aya’s time = [tex]x-16[/tex]
Therefore, the required algebraic expression is [tex]x-16[/tex].
Teresa Alice drove 383.5 miles in 6.5 hours. What is her average rate of speed?
Answer:
59
Step-by-step explanation:
383.5/6.5=59
please help
The graphs below have the same shape. What is the equation of the blue graph?
A. g(x) = (x - 2)2 + 1
B. g(x),= (x - 2)2 -1
C. g(x) = (x + 2)2 - 1
D. g(x) = (x + 2)2 + 1
Answer:
A
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Vertex: (2,1)(2,1)
Focus: (2,54)(2,54)
Axis of Symmetry: x=2
Hope it helped :)
Please help marking people as brainlist
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
138.23 is the circumference
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
If it's area, then:
area = 1519.76 in²
Step-by-step explanation:
radius = 44/2 = 22
area = πr² = (3.14)(22²) = 1519.76 in²
please answer ive been waiting half hour
Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed
The subject is the idea,being or thing being discussed.
Should be "plant". Its the Main thing being discussed.
In ancient Egypt, mathematicians and architects used 10 as an approximation for π . The circular floor of an ancient arena is paved with tiles. The floor of the arena has a radius of 100 feet.
Simplify the expression.Write your answer as a power.
w^8 w^5
------ × ------- =
w^7 w^2
Why was Algebra so hard? Was it because a, b, and c replaced numbers?
Answer:
Yep
Step-by-step explanation:
YEPP UGH I hate MAth
[tex]s = 2\pi(r + h)[/tex]
find r
What is the average of 86%, 100%, and 70%?
Answer:
87.3
Step-by-step explanation:
Answer:
85.3333333333
Step-by-step explanation:
add the number then divide them by the number u x them with
Answer now boi/gurl, Tahke yuo
Answer:
Seems like it's B
Step-by-step explanation:
The rest seem wrong.
---↓
A- Jon paid $235.50 for yard work. He paid $25.00 to have some
bushes trimmed and $35.50 each time he had his grass mowed. What is
x, the number of times Jon had his yard mowed? | The equation is 25x + 35.50 = 235.50 . That means this answer is probably wrong.
·
C- Jon paid $235.50 for yard work. He paid $35.50 to have some
bushes trimmed and $25.00 each time he had his grass mowed. What is
x, the number of bushes Jon had trimmed? | Once again, the equation is 25x + 35.50 = 235.50 . That means this answer is probably wrong too.
·
D- Jon and his neighbor paid $235.50 for yard work. Jon paid $35.50 to have some bushes trimmed and his neighbor had some bushes trimmed for $25.00 each. What is x, the amount of money Jon paid to have his bushes trimmed? | It says that Jon paid $35 to have his bushes trimmed in the sentence.
~~~~~~~~~~~~~~~~~~~~
B- Jon paid $235.50 for yard work. He paid $35.50 to have some
bushes trimmed and $25.00 each time he had his grass mowed. What is
x, the number of times Jon had his yard mowed?
The equation is 25x + 35.50 = 235.50 || We would put the x after 25 because it's asking "What is x, the number of times Jon had his yard mowed?" This seems correct.
Therefore, the answer would be B
Numbers 1, and 3 please
Answer:
1. shifts the graph right 2 units
2. y = -2(x -3)² +7
Step-by-step explanation:
1) Replacing x with x-h in any function shifts the graph h units to the right. Here, you have replaced x with (x-2), so the graph will be shifted 2 units to the right.
__
3) The vertex form of the equation of a parabola is ...
y = a(x -h)² +k . . . . . . . . for vertex (h, k) and vertical scale factor 'a'
Here, the vertex is (h, k) = (3, 7), and the parabola opens downward. This tells us the sign of 'a' is negative.
The graph is not so clear that it is easy to read the value of 'a' directly from it, but there are several clues.
The zeros of the above function are found at h±√(k/a). This graph shows the zeros to be located such that √(7/a) is slightly less than 2. This means the magnitude of 'a' will be slightly more than 7/2² = 1.75. The y-intercept of the function is 7-9a. It is less than -7, but probably more than -14. This puts bounds on 'a':
-14 < 7-9a < -7
-21/9 < -a < -14/9 ⇒ -2.33 < -a < -1.56
If we assume that 'a' is an integer value, we have bounded its magnitude as being between 1.75 and 2.33, so a=-2 is a reasonable choice.
The equation of the graph may be ...
y = -2(x -3)² +7