The rational function has a horizontal asymptote at y = 0.
To identify the asymptotes of the rational function, we need to analyze the behavior of the function as the input approaches certain values.
First, let's consider the vertical asymptotes. Vertical asymptotes occur when the denominator of the rational function equals zero, causing the function to become undefined.
Setting the denominator equal to zero:
6x - 6 = 0
Solving for x:
6x = 6
x = 1
Therefore, the rational function has a vertical asymptote at x = 1.
Next, let's examine the horizontal asymptote. To determine the horizontal asymptote, we compare the degrees of the numerator and denominator.
The degree of the numerator is 0 (a constant), and the degree of the denominator is 1 (linear). Since the degree of the denominator is greater than the numerator, the horizontal asymptote is at y = 0 or the x-axis.
Therefore, the rational function has a horizontal asymptote at y = 0.
In summary, the rational function has a vertical asymptote at x = 1 and a horizontal asymptote at y = 0 (the x-axis).
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Find the variance of the data. 22, 34, 7, 27, 25 x = 23 Variance (²) = [?]
Therefore, the variance (²) of the data. 22, 34, 7, 27, 25 x = 23 is 79.6.
Variance calculation
To find the variance of a set of data, you can follow these steps.
Calculate the mean of the data set.
Mean = (22 + 34+ 7 +27 +25)= 23.
Substract the mean from each data point and square.
(22 -23)² =1
(34 -23)² =121
(7-23)² =256
(27-23)² =16
(25 -23)² =4
Find the mean of the squared differences.
The mean of squared differences = (1 + 121+ 256+ 16+ 4) /5 = 79.6
Therefore, the variance (²) is 79.6.
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The length of the rectangle is 9 cm.
The perimeter of the rectangle is 31 cm.
(b) Work out the width of the rectangle.
Answer:
Perimeter = 2(L+W)
31 =2(9+w)
31 =18+2W
31-18=2W
13=2W
W=13/2
W=6.5cm
An item on sale costs 85% of the original price. The original price was $33.
Use the ALEKS calculator to find the sale price.
?
Answer: 28.05
Step-by-step explanation:
Elijah's uncle gave him $300 to spend on baseball equipment. He bought a pair of cleats for $69.99, two baseball jerseys for $32.99 each, a new glove for
$79.99 and two pair of socks for $6.99 each. Without including tax, to the nearest dollar, how much money did Elijah have left?
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Answer:
$70
Step-by-step explanation:
The amount Elijah has remaining is ...
$300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70
To the nearest dollar, Elijah has $70 left.
_____
Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).
Find the simple interest
$154.40 for 4 years at 8 1/2%
Answer:
$52.50 (rounded)
Step-by-step explanation:
I = Prt
I = 154.4(.085)(4)
I = 52.496
1.4
2
Lawrence wants to drive from Durban to Johannesburg 550 km. if he travels at
an average speed of 100 km/hr, how long does he tale to get there?
If he leaves at 08:42 what time will he arrive at his destination
1.5
2
Answer:
5 hr 30 minutes
2:12 pm
Step-by-step explanation:
s= 550km
v = 100km/hr
t = ?
SPEED = DISTANCE/ TIME TAKEN
or, v = s/t
or, 100km/hr = 550km/ t
or, t = 550/100
t = 5.5
t = 5 hrs 30 minutes
8:42
+5:30
13 :72
which is 14 :12 = 2 :12
Between 2002 and 2012 the population of the town Astopia fell by 4%.
If the population in 2012 was 252,960 find the population of the town in 2002.
Answer:
https://studyandanswers.com/mathematics/question18362805#
Step-by-step explanation:
Amy buys 22 envelopes for 13p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.
What's 2+2 ?
First one to answer gets cash prize!
Answer:
4
(if this is a joke then the answer's 5, a fish, etc...)
Answer:
4
Step-by-step explanation:
10th grade geometry question. I will give brainliest. NEED HELP ASAP
Answer:
(-4+5)-1
Step-by-step explanation:
y = –3x + 7
y = 2x – 8
Answer:
Step-by-step explanation:
Using the comparison, substitution, and elimination method, the answer is:(x,y)=(3,-2)
When rewriting the equation the answer is:
3x+y=7
2x-y=8
nabiha wants to decorate her home for an upcoming party she bought a roll of ribbon from "dollarama" which is 3.2 m long
(a) how many 15 cm of ribbon can be cut from a 3.2m long ribbon
(b) how long is the remaining peice
Answer:
A = 21
B = 5
Step-by-step explanation:
1 meter = 100 centimeters
This means that she has 320cm of ribbon. Now you need to divide 320 by 15
320/15 = 21.3333333333
So to check your work you could multiply 15 by 21
15 x 21 = 315
This answer is less than 320 so you now know that Nabiha can cut 21 pieces of ribbon that are 15cm long. You also know that the remaining piece is 320 - 315 = 5.
Please award me brainiest! Hope this helps!
A company has recently been hiring new employees. Today the company has 26% more employees than it did a year ago. If there are currently 56,700 employees, how many employees did the company have a year ago?
Answer:
I am pretty sure 237
Step-by-step explanation:
Pleaseeee helpppppppp
Which integer represents 4° below zero
A: 0
B:4
C: -4
D: -0
Find the surface area of the cylinder. Round your answer to the nearest tenth.
IF YOU ANSWER THE QUESTION CORRECTLY I WILL GIVE YOU BRAINIEST.
Answer:
188.5ft²
Step-by-step explanation:
Surface area of cylinder = 2πrh+2πr²
=2π3*7+2π3²
=42π+18π
=60π=188.495559215≈188.5ft²
Solve 58 - 10x * 20 * 9x.
O A rs-2
B. X-2
C. XS2
O D. x22
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Part 1: f(x)=0 has 0 solutions
Part 2: g(x)=0 has 2 solutions
Part 3: h(x)=0 has 1 solution
I graphed them
A car is traveling at a speed of y miles per hour. which situation would be described by the expression 1.2y?
Each side length is doubled. What is the AREA of the new figure?
Answer:
24 square units
Step-by-step explanation:
When the sides are doubled, new figure so obtained will have:
Base (b) = 2*3 = 6 units
Height (h) = 2*4 = 8 units
Area of the figure when each sides are doubled
[tex] = \frac{1}{2} \times b \times h \\ \\= \frac{1}{2} \times 6 \times 8 \\ \\ = 3 \times 8 \\ \\ = 24 \: square \: unite[/tex]
Which of the following is not an exterior angle of triangle BHE
Answer:
I dont know
Step-by-step explanation:
The list below shows the different choices of pizza at the local pizza shop: Pepperoni: 11 Supreme: 7 Cheese: 6 Hawaiian: 3 Based on these results, what is the theoretical probability of choosing a Hawaiian Pizza?
Step-by-step explanation:
11 + 7 + 6 + 3 = 27
total amount of pizza = 27
Hawaiian pizza = 3
3/27 = 1/9
PLEASE HELP BRAINLIEST.
Answer:
98 cm^2
Step-by-step explanation:
it contains 8 right triangles and one square;
the area of the square = 8 x 8 = 64
.
the area of all the traingles; 4 x 8 = 32
.
sum up; 32 + 64 = 98 cm^2
at his last baseball game, George missed 35% of the pitches thrown at him. based on this information, how many pitches will he miss if he has 40 pitches thrown at him?
Answer:
14
Step-by-step explanation:
35% of 40
= 35/100 × 40
= (35×4)/10
= 140/10
= 14
Help meeeeeeeeeeeeeeeee
Answer:
27
Step-by-step explanation:
The width of the frame is 9. If Marcia needs it to be THREE times as long as it is wide, that would mean she would have to multiply 3 x 9 which equals 27
x^2 +10x+21 factor this
Answer:
(x+3)(x+7)
Step-by-step explanation:
3 and 7 are factors of 21, and they add up to 10.
HOW LONG IS PQ?
special right triangles khan academy
Answer:
Step-by-step explanation:
The side opposite to the angle 30 degree in right triangle is half of hypothenuse.
How to find rate of change on a table
Answer:
__X__l__Y_
1 l 3
5 l 6
9 l 9
13 l 12
17 l 15
21 l 18
On the right side, the numbers get larger by adding three each time. On the left side, the numbers get larger by adding 4 each time. It would be the same for any other pair of numbers when you add 4 to the left, and 3 to the right. For instance, the next pair would be (25 , 21). 25 would be the X value, and 21 would be the Y value.
For which color is the difference between the theorectical probability and experimental probability greatest? A. Brown; The experimental probability is 19.52%, and the theoretical probability is 25%. B. Orange; The experimental probability is 18.9%, and the theoretical probability is 15%. C. Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%. D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
Answer: green
Step-by-step explanation:
Solve for x 103 (3x+4)
A family decides to put tiles in the entryway of their home. The entryway has an area of 7 square meters. If each tile is 5 centimeters by 5 centimeters, how many tiles will it take to cover the entryway?
It will take ______ tiles to cover the entryway.
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Answer:
2800 tiles
Step-by-step explanation:
Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...
(7 m²)/(0.0025 m²/tile) = 2800 tiles
It will take 2800 tiles to cover the entryway.