f(x)=2x^2 + x - 6/ x-1
Answers
Answer:
See below
Step-by-step explanation:
Zeroes:
[tex]f(x)=\frac{2x^2+x-6}{x-1}[/tex]
[tex]0=\frac{2x^2+x-6}{x-1}[/tex]
[tex]0=2x^2+x-6[/tex]
[tex]0=(2x-3)(x+2)[/tex]
[tex]x=\frac{3}{2},-2[/tex]
Vertical and Horizontal Asymptotes:
[tex]x\neq 1[/tex] is excluded from the domain, therefore, there's a vertical asymptote at [tex]x=1[/tex]
No horizontal asymptotes as the degree of the numerator is greater than the degree of the denominator by 1.
Oblique (Slant) Asymptote:
[tex]f(x)=\frac{2x^2+x-6}{x-1}=2x+3,R(-3)[/tex], so the oblique/slant asymptote is [tex]y=2x+3[/tex]
Related Questions
help please!!!!!!!!!!!
Answers
Answer:
1/(xy)³
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
_____
[tex](x\cdot y)^{-3}=\boxed{\dfrac{1}{(x\cdot y)^3}}[/tex]
A cookie factory uses 9/10 of a bag of flour in each batch of cookies. The factory used 4 1/2 bags of flour yesterday. How many batches of cookies did the factory make?
Answers
9 BATCHES OF COOKIES
Consider The Giant Wheel at Cedar Point again. The Giant Wheel is a circle with diameter 128 feet which sits on an 8 foot tall platform making its overall height 136 feet.
It completes two revolutions in 2 minutes and 7 seconds. Assuming that the riders are at the edge of the circle, find a sinusoid which describes the height of the passengers above the ground t seconds after they pass the point on the wheel closest to the ground.
Answers
Answer:
h(t) = 72 + 64·sin(2π(t -31.75)/127)
Step-by-step explanation:
The generic form will be ...
h(t) = a +b·sin(c(t -d))
The value of 'a' is the midline of the height function, halfway between the minimum (8) and the maximum (136).
a = (8 +136)/2 = 144/2 = 72
The value of 'b' is the amplitude of the height function, half the difference between the minimum and the maximum.
b = (136 -8)/2 = 128/2 = 64
The value of 'c' is the frequency of the motion in radians per second. It will be ...
c = 2π/(period in seconds) = 2π/127
The value of 'd' is the number of seconds from the minimum (8 ft) until the wheel first reaches the midline. It will be 1/4 of the revolution time:
d = 127/4 = 31.75
Then our finished sinusoidal function is ...
h(t) = 72 + 64·sin(2π(t -31.75)/127)
_____
Additional comment
If we were to use the cosine function instead, the equation could be simpler:
h(t) = 72 -64·cos(2πt/127)
The cosine already starts at its maximum value, so height will be at a minimum if we use the negative of the cosine function.
Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.
How much does Evan's dog weigh?
Answers
Answer:
the answer is expkained below
Answer:
Evans dog would weigh 39 pounds
Step-by-step explanation:
117= 3 × X
Take 117 and divide it by 3 and the answer we would get is 39
117 ÷ 3 = 39
To double check the answer we could multiply 39 by 3 to see if we 117.
39 × 3 = 117
X= 39 pounds, so Evans dog is 39 pounds
how do you find a missing fraction of a pie chart? (:
Answers
Answer:
Pasend pic
Step-by-step explanation:
Para I answer koSimplify the expression 2.1(3.7 +5.7u) using the Distributive Property.
PLEASE HELP! :(
Answers
Answer:
7.77+11.97u
Step-by-step explanation:
2.1(3.7+5.7u)=7.77+11.97u
Relatively Simple Math, pls lend a hand. All my points and Brainliest
Answers
help me due today might need more help in a minute but yk help me which one is it A B C D or E
Answers
Answer:
Option B is correct.
Step-by-step explanation:
c - 2.5 = 0
=> c = 0 + 2.5
=> c = 2.5
Therefore, c = 2.5 is our answer.
Hoped this helped.
Answer:
B-2.5
Step-by-step explanation: add 2.5 to both sides of the equation to get c=2.5
A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The
area of a triangle varies jointly with the base and height. Find the area of a flag whose base
measures 2 inches and height is 2.5 inches.
Answers
Answer:
2.5 sq. inches
Step-by-step explanation:
Explanation is given in the pic attached.
Area of triangle= 1/2* base* height
Hope this helps!
The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches
From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)
This variation is represented as:
[tex]\mathbf{A\ \alpha\ B \times H}[/tex]
So, we have:
[tex]\mathbf{A\ \alpha\ BH}[/tex]
Express as an equation
[tex]\mathbf{A\ =k BH}[/tex]
When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]
[tex]\mathbf{1.5\ =k \times 3}[/tex]
Divide both sides by 3
[tex]\mathbf{\frac 12 =k }[/tex]
Rewrite as:
[tex]\mathbf{k = \frac 12}[/tex]
When the base is 2 inches and the height is 2.5 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]
[tex]\mathbf{A = 2.5}[/tex]
Hence, the area of the flag is 2.5 square inches
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There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?
Answers
Answer:
4 + 4 + 32 = 40 rows
Step-by-step explanation:
35. In her rough work, Janu added 2389 and 740 as shown here.
Is it okay to write the number 740 this way in the addition?
(Hint: You do NOT need to calculate)
(A) Yes, because 0 has no value so 74 is the same as 740.
(B) No, because the answer will be wrong if 0 is not written.
(C) No, because the digits 7 and 4 have NOT been arranged according to their value.
(D) Yes, because 7 is added with the hundred's digit and 4 with the ten's digit.
Answers
Answer:
D
Step-by-step explanation:
What is the value of x in the diagram below? 49 14 2 O A. 7 OB. 8 O C. 9 D. 6
Answers
Answer:
just answered
Step-by-step explanation:
The value of x in the given diagram is 7 because the two triangles are similar
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given two triangle are similar
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation to find x
49/x=14/2
49/x=7
49/7=x
We get x=7
Hence, the value of x in the given diagram is 7 because the two triangles are similar
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How many palindromes between 1000 and 9999 inclusive are divisible by 9?
Answers
Palindromes are numbers that remain the same, when reversed.
There are 10 palindromes divisible by 9 between 1000 and 9999
To do this, we list the numbers divisible by 9 between 10 and 99.
The numbers are:
[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]
Flip these numbers
[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]
Combine corresponding numbers
[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Rewrite as:
[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
990 is less than 1000.
So, we have:
[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Count the numbers
[tex]\mathbf{n(AB) =10}[/tex]
Hence, there are 10 palindromes divisible by 9 between 1000 and 9999
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Janice bought 4 oranges for $3.40. what is the unit price.
Answers
will be 0.85
.85 per unit
Check answer
.85 unit x 4 = 3.40
Expand the function.
f(x)
=
(2x + 3)4
16x4 +
[? ]x3
+
]x2
+
x +
IX +
х
Answers
Answer:
f(x) = 16x4 + 96x3 + 216x2 + 216x + 81
1.7 6/5
2.4 25/25
3.28/3
what is the lowest term?
Answers
Answer:
3.
[tex] \frac{28}{3} [/tex]
Step-by-step explanation:
number 1 equals 8 1/5
number 2 equals 5
number 3 equals 9 1/3
multiply
( 2 x – y ) ( 3 x + y )
Answers
Tell me if you want step by step!!
Hope this helped. :)
[tex](2x-y)(3x+y)\\\\=2x(3x+y) -y(3x+y)\\\\=6x^2 +2xy - 3xy -y^2\\\\=6x^2 -xy -y^2[/tex]
evaluate 6^2 - (9 divided by x) when x = 3
Answers
Answer:
33
Step-by-step explanation:
convert 25 __ 200 fluid ounces
use the Measures of Capacity to help u if u need it
which is greater
steps must be given
Will give branliest
Answers
25 cups = 200 ounces
200 ounces divided by 8 ounces = 25 cups
The scatter plot shows the relationship between the average number of nightly customers and the number of mouths since a restaurant opened. The equation represents the linear model for this date
y = 5x + 120
what does the number 5 in the equation mean in this context?
A: There were 5 customers per night when the restaurant opened
B: The average number of costumers per night increased by 5 each month
C: The average number of customers per night decreased by 5 each month
D: The restaurant has been open for 5 months
Answers
5 is also the slope
plsss answer my questions in the picture
Answers
Answer:
8. B
9. B
10. B
thats my answer
What is the value of k? M 1150 Y Z (4k + 5) (6k + 10) X
I need help ASAP
Answers
Check the picture below.
work out the value of 10²-4³ give ypur answer as a power of 6
Answers
Answer: 36
Step-by-step explanation: 10^2 is 100 and 4^3 is 64, and 100-64=36
Ben participated in a diving competition from a platform 25 feet above the
water. Ben's height above the water in feet can be modeled by the
quadratic function f(t) = - + + 5t + 25 where t represents time in
seconds. During which time interval did the height of Ben's trajectory
increase?
=
Answers
A 19 -ft ladder leans against a building so that the angle between the ground and the ladder is 81 ∘. How high does the ladder reach on the building? ft
Answers
Answer:
18.77 ft
Step-by-step explanation:
use SOHCAHTOA
The ladder is a side, which is opposite to the angle. The ladder's side is also the hypotenuse of the triangle, so use sin.
sin(81) * 19 = 18.77 ft
A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousands of people), These data are available in data set ConcurrentUsers.
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
(a) Compute the sample mean, variance, and standard deviation of the number of concurrent users.
(b) Estimate the standard error of the sample mean.
(c) Compute the five-point summary and construct a boxplot.
(d) Compute the interquartile range. Are there any outliers?
(e) It is reported that the number of concurrent users follows approximately Normal distribution. Does the histogram support this claim?
Answers
Since there is no number greater or less than the above one, it doesn't contain any outlier.
The given data set is
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
What is variance?The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.
(a) Sample Mean = The Sum of the given terms/Number of terms
So, sample mean as µ=17.954
Variance can be denoted by [tex]s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2[/tex]
=9.97
Standard deviation s=√9.97
=3.16
b) The standard error can be denoted by:
s/√n-1 = 3.16/√49
=0.45
c) For the given data,
The value of the least sample number =12.0
The value of the greatest number in sample=24.1
So, Q1=15.83
Median =17.75
Q3=19.88
d) The IQ range would be as follows:
Q3-Q1=19.88-17.75
=4.05
The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.
Since there is no number greater or less than the above one, it doesn't contain any outlier.
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what is the meaning of decimal explain
Answers
Answer:
ddecimal is a fraction
Step-by-step explanation:
Oh a decimal is a fraction written in a special form
A Gardner has 1 1/4 cubic feet of soil available for filling pots. Each pot will need 2/5 cubic foot to be filled. What is the greatest number of pots that the gardener fill
Answers
The greatest number of pots that can be filled is 3.
In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.
Number of pots that can be filled = 1 1/4 ÷ 2/5
= 5/4 ÷ 2/5
= 5/4 x 5/2 = 25/8 = 3 1/8
Thus, the greatest number of pots that can be filled is 3.
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1. A line that passes through the
points (4,1) and (8,3)
Answers
Answer:
If they want the slope, it is 4/2
Step-by-step explanation:
If 16^x=13. what is the value of 2^2x+1
Answers
[tex]16^x=13\implies (2^4)^x=13\implies ((2^2)^2)^x=13\implies ((4)^2)^x=13 \\\\\\ 4^{2\cdot x}=13\implies 4^{x\cdot 2}=13\implies \left[4^x \right]^2=13\implies \boxed{4^x}=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ 2^{2x+1}\implies 2^{2x}\cdot 2^1\implies (2^2)^x\cdot 2\implies 4^x\cdot 2\implies \boxed{\sqrt{13}}\cdot 2\implies 2\sqrt{13}[/tex]