Question 5 of 10
Which of the following rational functions is graphed below?
10+
10
10
1 - 10
X1
X- 4
O A. Fx) = x+1
F
OB. FX) = (x-1(x+4)
(x
O C. FX) = x +
1
- x)
X-
O D. F(X) =
1
(x + 1)(x-4)
x
Answers
Answer:
A. is the correct answer tnx to the points
The function f(x) = 1/[(x-1)(x+4)] is a rational function with two vertical asymptotes and one horizontal asymptote, which is graphed below.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The function f(x) = 1/[(x-1)(x+4)] is a rational function with two vertical asymptotes and one horizontal asymptote.
The vertical asymptotes occur when the denominator, (x-1)(x+4), is equal to zero. This happens when x = 1 or x = -4.
Therefore, the graph will have two vertical asymptotes at x = 1 and x = -4.
The horizontal asymptote can be found by looking at the behavior of the function as x approaches positive or negative infinity. As x gets very large in either direction, the terms (x-1) and (x+4) become insignificant compared to x².
Hence, the correct option is (B) f(x) = 1/[(x-1)(x+4)].
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Related Questions
An rectangular water tank has a base area of 56 sq. ft. and a height of 4 ft. Find its volume in cubic feet.
No spam answers please
Answers
Answer: 224 cubic feet
Step-by-step explanation: If the base of the tank is 56 sq feet in area then the dimensions could be, (2,28) (4,14) (7,8) for example. However, it doesn't really matter. It's only important that the information we know is that it is area and there are two dimensions. Since volume is determined by base x width x height, we do 56 x 4. Or using one of the factored pairs that works, for example, 8 x 7 x 4 = 224.
What is the range of function gif g(x) = -2/(x) + 1
OA. (-2, 0)
OB. (0,0)
OC. (-0,2)
OD. (-0,1)
Answers
The function g(x) is a rational function, and none of the options represent the range of the function g(x)
How to determine the range of the function?The function is given as:
g(x) = -2/x + 1
The above function is undefined at point x = 0.
This is so because -2/x is undefined.
So, we have:
g(0) = -undefined + 1
g(0) = undefined
This means that the range of the function is:
(-infinity, 1) and (1, infinity)
None of the options represent the range of the function g(x)
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5. While decorating her bedroom, Sandra spent the following amounts: {$29, $58, $15, $130, $75, $23} Calculate the mean absolute deviation to the nearest tenth. MAD=
Answers
Answer: 206
Step-by-step explanation: addion
Which of the following equations will yield the volume of a triangular prism?
V = Bh
V = 2 B + Ph
V = lwh
V = 2 lw + 2 lh + 2 wh
Answers
Answer:
V = Bh
Step-by-step explanation:
The equations will yield the volume of a triangular prism is V = Bh.
Where,
V = Volume
B = Base
h = Height
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Kavinsky
How is this wrong? I'm confused
Answers
Answer:
60m = t
Step-by-step explanation:
For " per minute ( 1 minute ) ", he can type 60 words.
For " m minutes ", he can type
m times 60
= m x 60
= 60m
Hence,
60m = t
Answer:
The answer would be B
Step-by-step explanation:
Since Miles can write 60 words PER minute. Per is a key work for multiplication. So it would be 60m = t instead of m/60 = t.
a.
16. Which expression is equivalent to
4(b + 11)
a. 4b +44
b. 4b - 44
4b + 11
d. b + 44
C.
Answers
Answer: It would be 4b+44
Step-by-step explanation:
This is the distributive property! so a(b+c)=ab+ac
In this case–4b+44!
Answer:
A. 4b + 44
Step-by-step explanation:
To simplify the expression, we can distribute the 4 to each term in the parenthesis, which means to multiply 4 be each term.
4(b) + 4(11) = 4b + 44
Therefore, the correct option is A.
hope this helps!
Someone please help me?
Answers
Answer:
43
Step-by-step explanation:
80-37 = 43
A total of 750 tickets were sold for the school play. They were either adult tickets or student tickets. There were 50 more student tickets sold than adult tickets.
How many adult tickets were sold?
1 adult tickets
х
5
?
Answers
Answer:
350 adult tickets were sold.
Step-by-step explanation:
Let's set up some values:
x = adult tickets
x + 50 = student tickets, since there were 50 more student tickets than adult tickets.
Now, let's set up our equation. If these two values add up to 750 tickets, then we can conclude the following:
(x) + (x + 50) = 750
2x + 50 = 750
2x = 700
x = 350 adult tickets. This means there were 400 student tickets sold.
A group of people were asked if they had run a red light in the last year. 469 responded "yes", and 484 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Answers
To find the percent, or probability, of people that said yes, you take that number and divide it by the total. So 469/953. And then multiply that number by 100 and you’ll get 49.2%. So there’s a 49.2% chance that person would have run a red light.
A square with a length of 4 inches is cut in half diagonally. What is the area of each triangle formed by this cut?
Answers
You can come to this conclusion by finding that the area of your square is 16 sq. inches, divide that by 2 and you get 8 sq. inches!
Decide if each data set might produce one or more gaps when represented by a histogram. For each data set that you think might produce gaps, briefly describe or give an example of how the values in the data set might do so.
a. The ages of students in a sixth-grade class.
b. The ages of people in an elementary school.
c. The ages of people eating in a family restaurant.
d. The ages of people who watch football.
e. The ages of runners in a marathon.
Answers
There would be a gap in the age of people in an elementary school.
Which option would produce one or more gaps ?
There is a gap in a histogram when there is no data point represented in the data point.
There would be no gap in the ages of students in the sixth grade because their ages would have a range. There would be a gap in the age of people in an elementary school because there would be the ages of the students then the ages of teachers.
The ages of people eating in a family restaurant would have no gap because all ages would be represented. There is no age limit on those that can run a marathon, thus, the age of runners would have no gap.
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How do you solve it?
Answers
Step-by-step explanation:
Is there any data given abour the figure? And actually, what exactly do you need to solve?
In which function is x = 2 mapped to 32?
O 5x)=-3x4-4
O g(x) = 4(X+3)2-68
• A(x) = 3x
O Jx) = 2x-62
Answers
Option B
Verification:-
Find g(2)
4(x+3)²-684(2+3)²-684(5)²-684(25)-68100-6832Verified
1.
Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π, in^3?. One day, his sink
clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely
full when Anthony begins scooping.
(a) One cup has a diameter of 5 in, and a height of 6 in. How many cups of water must Anthony scoop
out of the sink with this cup to empty it? Round the number of scoops to the nearest whole
number. Show all your work.
(b) One cup has a diameter of 6 in, and a height of 6 in. How many cups of water must he scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.Show all your work
Answers
Answer:
a) 27
b) 19
Step-by-step explanation:
a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]
Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000/3[tex]\pi[/tex] or 1000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.
The two rectangles are similar. Find X.
Answers
d. x = 9.6
[tex]\bold{EXPLANATIONS:}[/tex]
NO LINKS!! Please help me with this problem 6a
Answers
[tex]f(x)=a|x-h|+k[/tex] looks similar to that of vertex form where a is the stretch factor, h is the horizontal translation, and k is the vertical translation.
[tex]f(x)=7|x+4|-6[/tex] would mean that the minimum point is located at [tex]x=-4[/tex] and [tex]y=-6[/tex].
Moving f(x) 2 units to the right will only affect the h value and the only way to do this is by subtracting 2 from 4. Remember that the more negative the number, the more positive or to the right the x value for the minimum/maximum is, and vice versa.
The final equation will be [tex]f(x)=7|x+2|-6[/tex] where:
a = 7
h = 2
k = 6
Answer:
7(x + 2) - 6
Step-by-step explanation:
a(x - h) + k
the h shift it right or left where a negative number is right and the positive is left
- we want it to move right 2 so -4 + 2 = -2 where negative number means a positive h so its +2
k shifts it up or down
hey can anyone help find the area pls
Answers
Answer:
114 cm^2
Step-by-step explanation:
The area of a triangle is calculated with the following formula:
1/2 * b*h (b: base, h: height)
The height here is given as 3.8 cm and base is 6 cm
1/2 * (3.8)*6 = 11.4
The area is presented in square units so the answer is 11.4 cm^2
When clothing or garments are displayed on a sales floor, the majority of the price goes to?
A. Seamstresses/Workers who sew the clothes
B. Manufacturing Companies
C. Pay for materials
D. Retailers
Answers
In totality the majority of the price is goes to manufacturing companies.
What is Selling?The selling is the process of giving the manufactured product to the public at some cost. In the clothing or garments industry, the product will be a lot of raw fabric or ready-made clothes like shirts and T-shirts.
Here the manufacturing companies give their products in the lot to the wholesalers and the retailers the margin on each product for the retailers is high but the quantity is less.
Similarly, the margin for the manufacturing companies is less but the quantity is very high or they sell in the Tons or more so they earn more as compared to the others.
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What have the Mars rovers discovered about Mars?
A. The crust of Mars contains 2 chemical elements never discovered before.
B. It had similar volcano activity and crust composition to Earth.
C. It has polar ice caps that could become an ocean if Mars were to warm up in the future.
D. The atmosphere of Mars is twice as thick as scientists predicted it would be.
Answers
Answer:D. The atmosphere of Mars is twice as thick as scientists predicted it would be.
Step-by-step explanation:
6. Two sides of a right triangle are 8 and 12. Find the hypotenuse
Answers
Answer:
4√13 inches.
How To Solve
a2 + b2 = c2
82 + 122 = c2
64 + 144 = c2
208 = c2
√208 = √c2
√16√13 = c
4√13 inches = c
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
.
10
0
X 5 ?
12
Answers
Answer:
x is equal to 15.62 .......
Which best describes the relationship between the lines with equations -9x+9y=1 and 7x+2y=4
Answers
Using the slope of each of the lines, the best statement that describes the their relationship is that they are: neither perpendicular nor parallel.
What is the Slope of Parallel and Perpendicular Lines?The slope of parallel lines are the same, while that of perpendicular lines are negative reciprocals.
Given the two lines with the following equations:
-9x+9y=1
7x+2y=4
Rewrite both in slope-intercept form as y = mx + b to determine the slope of each line:
-9x + 9y = 1
9y = 9x + 1
y = 9x/9 + 1/9
y = x + 1/9 (slope = 1)
7x + 2y = 4
2y = -7x + 4
y = -7x/2 + 4/2
y = -7/2x + 2 (slope = -7/2).
The slope of both lines are different, so they are not parallel. So also, their slopes are not negative reciprocals.
Therefore, they are neither perpendicular nor parallel.
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The student council is planning the school carnival. Each tcket costs 2.50$. Explain how to write an equation that represents this scenario. Let x represent the number of tickets sold, and y represent the total amount of money raised
Answers
Answer:
Step-by-step explanation:
Let x represent the number of tickets sold, and y represent the total amount of money raised. Since each ticket is $2.50, the total amount of money raised is equal to $2.50 times the number of tickets. The equation would be y = 2.50x.
how do i solve?and what is the answer?
Answers
10m
explanation[tex]looking \: at \: the \: diagram \\ horizontal \: lenght = 6m \\ vertical \: lenght = 8m \\ the \: \: lenght \: of \: the \: fencing \: can \: be \: calculated \\ using \: pythagoras \: theorem \\ let \: the \: lenght \: of \: the \: ladder = h \\ h {}^{2} { = 6}^{2} + 8 {}^{2} \\ h {}^{2} = 36 + 64 \\ h {}^{2} = 100 \\ square \: root \: bothsides \\ \sqrt{h {}^{2} } = \sqrt{100 } \\ h = 10 \\ therefore \: lenght \: of \: the \: ladder \: = 10m[/tex]
hope this helps.please rate and mark brainliest!!!Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.
Answers
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Minimum = 3Domain = all real numbersRange : y ≥ 3A solar panel is divided into 8 equal pieces. If 2 pieces are damaged, which equation shows the fraction of the solar panel that is NOT damaged?
A
88 – 28 = 34
B
28 – 88 = 34
C
88 – 28 = 54
D
28 – 88 = 54
Answers
The equation that shows the fraction of the solar panel that is not damaged is 8 - 2 / 8 = 3 / 4
How to form an equation?
The solar panel is divided into 8 equal pieces. Two pieces are damaged.
Therefore, the equation that shows the fraction of the solar panel that is not damaged is as follows:
The amount damaged = 2
The amount not damaged = 6
Total panel = 8
Therefore,
8 - 2 / 8 = 6 / 8 = 3 / 4
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what is the equivalent to five and two tenths
Answers
Answer:
5 2/10 or 520%
Step-by-step explanation:
List any three odd natural numbers and verify that each can be written in the form 2m - 1, where m is any natural number.
Answers
Answer:
Step-by-step explanation:
13 = 2*6 + 1 (m = 6)
27 = 2(13) + 1
121 = 2(60) + 1
Jim has 10 used books and 12 used DVD's to sell at a garage sale for $1.50 and $5.00 each respectively. Let x be the number of books and y be the number of DVD's Jim ends up selling. Which of the following systems of linear inequalities represents this situation if Jim wants to make at least $40.00?
Answers
What is the range -4 9 1 -9 0 0 5 3 2
Answers
The range is 18
What is the range of the given numbers?
The Range (Statistics) The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!
9 - -9 = 18Therefore, The range is 18
