Write a rational expression that satisfies the following condition: non permissible values x=y, +-2
Answers
The rational expression that satisfies x = y +-2 is 2xy/(x + y)(x² - 4).
How to illustrate the expression?It should be noted that non permissible value is the value of the variable which make the denominator of the rational expression equal to zero.
Based on the information, x + y gives x - y = 0.
x = 2 gives x - 2 = 0
x = -2 gives x + 2 = 0
Ths denominator according to the condition illustrated will be (x - y)(x - 2)(x + 2) = (x - y)(x² - 4)
Then, the rational expression can be written by taking the numerator and denominator. An example will be 2xy/(x + y)(x² - 4).
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Related Questions
Which polynomial is a quintic trinomial?
A. -x^4-5x^2
B. x^3+2x^2−8x+16
C. x² + 4
D. 3x^5+7x^2−9x^4
Answers
Answer:
D
Step-by-step explanation:
a quintic polynomial is a polynomial of degree 5
A is a polynomial of degree 4 (- \(x^{4}\) term )
B is a polynomial of degree 3 (x³ term )
C is a polynomial of degree 2 ( x² term )
D is a polynomial of degree 5 ( 3\(x^{5}\) term )
A movie theater decreased the size of its popcorn bags by 20%. If the new bags hold 12 cups of popcorn, how much did the original bags hold? Nasser used the equation 0.20x = 12 Abraham used the equation 0.80x = 12 Kathleen used the equation 1.20x = 12 Decide who used the correct equation and defend your reasoning.
Answers
Answer:
Abraham
Step-by-step explanation:
Abraham used the correct equation because if we represent the original size as 100% and decrease that by 20 it would be 80% or 0.8
Nasser's equation will solve for the change in price
Kathleen's equation solves for if the popcorn size was increased by 20%
Answer:
nasser
Step-by-step explanation:
0.20 = 20/100=20%
2. Eric's sister Leila plays the same game. When she is finished playing, her score is given by the expression 3 x (24500 + 3610) - 6780 Describe a sequence of events that might have led to Leila earning this score.
Answers
Leila's score of 3 x (24,500 + 3,610) - 6,780 could be the result of completing a level worth 24,500 points, earning a bonus of 3,610 points, and then incurring a penalty of 6,780 points.
Let's describe a sequence of events that might have led to Leila earning a score of 3 x (24,500 + 3,610) - 6,780.
Leila starts the game with a base score of 0.
She completes a challenging level that rewards her with 24,500 points.
Encouraged by her success, Leila proceeds to achieve a bonus by collecting special items or reaching a hidden area, which grants her an additional 3,610 points.
At this point, Leila's total score becomes (0 + 24,500 + 3,610) = 28,110 points.
However, the game also incorporates penalties for mistakes or time limitations.
Leila makes some errors or runs out of time, resulting in a deduction of 6,780 points from her current score.
The deduction is applied to her previous total, giving her a final score of (28,110 - 6,780) = 21,330 points.
In summary, Leila's score of 3 x (24,500 + 3,610) - 6,780 could be the result of her initial achievements, followed by some setbacks or penalties that affected her final score.
The specific actions and events leading to this score may vary depending on the gameplay mechanics and rules of the game.
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1. Si las notas de Esteban en una asignatura son: 3, 4, 6, 3, 5, 5, 6, 3, 4 y de estas notas se cambia un 6 por un 7, ¿cuál(es) de las siguientes medidas de tendencia central cambia(n)? I. La moda. II. La mediana. III. La media aritmética (promedio).
Answers
Responder:
Media
Explicación paso a paso:
Primero debemos saber que cambiar el valor de 6 a 7 no puede cambiar la mediana y la moda de los datos, ya que la moda es el valor que más ocurre, que es 3, mientras que la mediana es el valor tq en el medio después del reordenamiento.
La única medida de tendencia que cambiará es la media (datos promedio)
Vamos a revisar
Encuentra la media de dos datos originales
Media = 3, + 4, + 6 + 3, + 5 + 5 + 6 + 3 + 4/9
Tamaño de muestra = 9
Media = 39/9
Media = 4,33
Si uno de los 6 se reemplaza por 7, la media se convierte en
Media = 3, + 4, + 6 + 3, + 5 + 5 + 7 + 3 + 4/9
Tamaño de muestra = 9
Media = 40/9
Media = 4,44
Podemos ver que cambió el valor medio. Por tanto, la respuesta correcta es la media.
Teniendo en cuenta la definición de media, mediana y moda, la media aritmética es la única medida de tendencia central que cambia.
Media aritméticaLa media (también llamada promedio o media aritmética) de un conjunto de datos es una medida de posición central cuyo valor se obtiene al dividir la suma de todos los números entre la cantidad de ellos. Entonces, en este caso, el promedio de las notas obtenidas por Esteban se calcula como:
\(media=\frac{3+4+6+3+5+5+6+3+4}{9}\)
Resolviendo:
media= 4,33
La media aritmética de las notas de Esteban es 4,33.
Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:
3, 4, 7, 3, 5, 5, 6, 3, 4
Entonces, la media aritmética de las notas obtenidas por Esteban se calcula como:
\(media=\frac{3+4+7+3+5+5+6+3+4}{9}\)
Resolviendo:
media= 4,44
La media aritmética de las notas de Esteban si se cambia un 6 por un 7 es 4,44. Por lo que la media aritmética (promedio) cambia.
ModaPor otro lado, la moda de un conjunto de números es el número que aparece más a menudo dentro del grupo de datos.
En este caso, podes observar que la cantidad de veces que aparece cada número es:
3: 3 veces
4: 2 veces
5: 2 veces
6: 2 veces
Debido a que el 3 es el número con mayor cantidad de repeticiones, la nota que más se repite es 3.
Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:
3, 4, 7, 3, 5, 5, 6, 3, 4
a cantidad de veces que aparece cada número es:
3: 3 veces
4: 2 veces
5: 2 veces
6: 1 vez
7: 1 vez
Debido a que el 3 es el número con mayor cantidad de repeticiones, la nota que más se repite es 3.
Entonces, podes observar que la moda es 3 y no varia si de las notas se cambia un 6 por un 7.
MedianaPor último, la mediana es valor que se encuentra en la mitad justa entre los valores máximo y mínimo de los datos con los que se está trabajando; es decir, que al ordenar los número de menor a mayor, éste se encuentra justamente en medio de los valores.
En este caso, ordenando de menor a mayor las notas de Esteban:
3,3,3,4,4,5,5,6,6
Se observa que el valor intermedio, es decir la mediana, de todas las notas de Esteban es 4.
Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:
3, 4, 7, 3, 5, 5, 6, 3, 4
En este caso, ordenando de menor a mayor las notas de Esteban:
3,3,3,4,4,5,5,6,7
Se observa que el valor intermedio, es decir la mediana, de todas las notas de Esteban es 4. Por lo que la mediana no varia si de las notas se cambia un 6 por un 7.
En resumenEn resumen, la media aritmética es la única medida de tendencia central que cambia.
Aprende más con estos ejemplos:
brainly.com/question/24086990?referrer=searchResults brainly.com/question/15969676?referrer=searchResults brainly.com/question/17010976?referrer=searchResultsWhich label on the cone below represents the radius?
A cone. A is the base, C is the center of the base, B is the height, and D is the vertex.
A
B
Answers
Answer:
answer is c
Step-by-step explanation:
hope this helps and good luck
Find the area of the rectangle to the right. 9 inches for width and 5y inches for the length
Answers
Answer:
The area is 45 inches
Step-by-step explanation:
L×W=A
Use rules of inference to show that if ∀x(P (x) ∨ Q(x)) and ∀x((¬P (x) ∧ Q(x)) → R(x)) are true, then ∀x(¬R(x) → P (x)) is also true, where the domains of all quantifiers are the same.
Answers
When a specific element c with P(c) true is known, one can infer that xP(x) is true using the rule of inference.
How do you do the rule of inferences?The rules of inference, commonly referred to as inference rules, are a logical framework or instruction that starts with premises (or hypotheses) and leads to a conclusion. As stated by Monroe Community College, a fallacious argument is one in which the conclusion is true whenever all of the underlying premises are true.Inference Rules Table
Rule of Inference Title
P∨Q¬P∴Q
Contradictory Syllogism
P→QQ→R∴P→R
Hypothetical Syllogism (P Q R S )P R Q S
Constructive Dilemma: P Q R S Q S P R
Defeasible Predicament.
A conclusion arrived at through evidence and deduction is known as an inference. You may tell someone does not like their meal, for instance, if you see them making a disgusted face after they've eaten a bite.To Learn more About rule of inference refer To:
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Find the greatest common factor (reverse of distributing)
Answers
Answer:
x is the greatest common factor
Answer:
4X-4XY=0
⇔4X(1-Y)=0
Step-by-step explanation:
Ms. Monkey,theart teacher at Giveny school, has 3quarts of liquid glue and24 empty glue bottles that each hold1 cup.Does she have enough glue to fill all of the bottles? Explain
Answers
Since 1 quart is equal to 4 cups, then the total amount of liquid glue, in cups, is:
\(3\text{quarts}\times\frac{4\text{ cups}}{1\text{ quart}}=12\text{ cups}\)There are 24 empty glue bottles but only 12 cups of glue. Since each bottle can hold one cup, then 24 cups of glue would be needed to fill all the bottles.
Since 12 is less than 24, then, there is not enough glue to fill all the bottles.
subtract z from 2
k,nnn j
Answers
Answer:
Step-by-step explanation:
2 ( x + 3 ) - 1 = ( 2x + 6 ) - 1 = ( 2x + 5 ) distribute the 2 subtracting 1 from 6.Simplify fully 50y3/ 8xy2
Answers
Answer:
\(\frac{25y}{4x}\)
Step-by-step explanation:
Answer:
Step-by-step explanation:
i did you go with me to my car to see what i is going on with my car i and brown is there anyway i is going out and i is there a few things to go out and get some money from there so we could get it done and green or something for you guys and brown is ok and zjoke
A line with a slope of 1 passes through the point (8,6). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y-6=1
x-8
Step-by-step explanation:
1(x-8)=y-6
x-8=y-6
like terms together
y=-8+6-x
y=-x-2
Tim (t), isaac (i), and hannah (h) all sell individual insurance policies. isaac sells four times as much as tim, and hannah sells three times as much as isaac. create an equation in terms of tim (t) in order to find the portion he sells.
Answers
Using proportions, the equation in terms of Tim is given by:
T(t) = 17t.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, we have that:
Isaac sells four times as much as Tim, hence I = 4t.Hannah sells three times as much as Isaac, hence H = 3I = 3 x 4t = 12t.Hence the total amount, as a function of Isaac's amount, is given by:
T(t) = I + H + t
T(t) = 4t + 12t + t
T(t) = 17t.
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17 Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim's percentage profit.
Give your answer to 1 decimal place.
Answers
Answer:
46.7
Step-by-step explanation:
Sp-Cp
$44-$30=$14
14/Cp x 100
= 14/30 x 100=46.66%
Ans= 46.7%
Proof
% x CP
46.66/100 x $30= $13.998
$13.998= SP-CP
Hope it helps
Jim's got profit percentage is 46.67%
What is profit percentage?Profit percentage is refer to "the amount of profit that has been incurred in terms of percentage".
According to the question,
Jim buys a wardrobe for £30 which is cost price of wardrobe and he sells £44.
In order to find profit percentage we have to use formula.
Profit percentage = \(\frac{selling price - cost price }{cost price}\) × 100
= \(\frac{(44-30)}{30}\) × 100
= \(\frac{14}{30}\) × 100
= 46.6667% ≈ 47%
Hence, Jim's got profit percentage is 46.67%.
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find the derivative of the function. h(t) = 7 cot−1(t) 7 cot−1(1/t)
Answers
To find the derivative of the given function h(t), we need to apply the chain rule and the derivative of the inverse cotangent function.
First, we can rewrite the function as:h(t) = 7 cot⁻¹(t) = 7π/2 - 7 arctan(t)
Next, we can apply the chain rule:h'(t) = -7/(1 + t^2) * (d/dt) arctan(t)
The derivative of arctan(t) is 1/(1+t^2), so we can substitute that in:h'(t) = -7/(1 + t^2) * (1/(1+t^2))
Simplifying, we get:
h'(t) = -7/(1+t^2)^2
Therefore, the derivative of the function h(t) is -7/(1+t^2)^2.
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What is the domain of √ 1 x²?
Answers
A domain has [-1, 1]
Now, According to the question:
Let's know:
How do you find the domain?
Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
A square root with a negative number under the root cannot produce a real number. This means that \(1-x^2\) must be greater than or equal to zero.
Squaring a real number will always produce a positive number, so \(x^{2}\)must be equal to or smaller than 1. This means x is between 0 and 1, giving the domain of [0,1].
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The complete question is this ;
What is the domain of \(\sqrt{1-x^2}\)
Hi please can any one help me please
Answers
Answer:
I will explain how to do this.
Step-by-step explanation: For example A-B is going away from her home because the distance is changing and in the beginning it says Mary starts at her house. So now to continue, where the first letter meets the last letter ( in this scenario its A-B) you'll look at the space between it and count the ticks on the side where it says distance and use the number on the side to guide you. Now for time you'll do the same thing with the ticks on the side. But for where it goes down she is going the opposite way so it'll still be distance but she will be going back home, for the straight line that means she is not moving at all. Hope this helps :)
question.
Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?
0
number of people
0%
2596
50%
75%
1009
12596
Answers
Answer:
answer 4950
Step-by-step explanation:
first divide6600by 100 &multiply by 25 ans. is 1650
subtract 6600 by 1650 ans. is 4950
Abc company manufactures pesticides. the company has used a bright packaging color to distinguish it from other brands. the company does not display any warning label to inform the users about its fatal effects if accidentally consumed. which law does the company violate? a. truth in lending act b. federal food, drug, and cosmetic act c. sherman act d. poison prevention packaging act
Answers
Option D. The act that the company violates by not providing the right information about the fatal effects is the poison prevention packaging act.
What is the poison prevention packaging act?This was an act that was enacted by the congress of the United States in the year 1970. The goal of the act is to reduce all forms of unintentional poisoning that can be caused by medications as well as certain home products when they are used by the consumers.
It was signed into law by Richard Nixon in this year. Given that the company, has not distinguished it from other brands, the poison prevention packaging act is what has been violated.
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17. Amanda recently had back surgery. The doctor instructed her not to lift anything over 5
kilograms for several weeks. Today, Amanda is going to the hospital to visit her newborn
nephew that weighs 4,050 grams. Is it okay for Amanda to lift the baby? Justify your
answer.
Answers
Answer:At Ubis Hotel we promise to _______ your problem in fifteen minutes or less. *
1go away
2set off
3move on
4deal with
We are _______ for two weeks so the neighbor is coming to water the plants. *
1going away
2setting off
3moving on
4dealing with
Grandma is ________ at our house, so I'll have to sleep on the sofa again. *
1going away
2staying over
3stopping over
4moving on
After two days in Naples we're ready to _______ to Capri. *
1go away
2move on
3stop over
4stay over
Dad wants to _______ early to avoid the traffic. *
1go away
2set off
3move on
4stay over
The Walton family are _______ in Berlin on their way to Amsterdam. *
1going away
2moving on
3stopping over
4staying over
Step-by-step explanation:
Answer:
It is understood that 1 kilogram (kg) is equal to 1000 grams (g).In order to solve the above given problem just consider about conversion of kg to gram.
Step-by-step explanation:
• As doctor instructed the Amanda not to lift anything over 5 kilogram .And if we analyze the weight of newborn nephew that is 4050 gram or near about 4.02 gram .
• Therefore the weight of nephew is less than the weight advised by the doctor.
• Hence, Amanda can lift baby without any problem.
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what’s the equation of the blue line?
Answers
Uee two points on the line to find the slope.
(-1,2) and (1,-4)
Slope = change in y over change in x;
Slope = (-4 - 2)/ (1 - -1) = (-6/2) = -3/1 = -3
The y intercept is y value where the blue line crosses the y axis, which is at -1
The equation would be y = -3x-1
Answer:
Step-by-step explanation:
(-1, 2) (0, -1)
(-1 -2)/(1 + 0) = -3/1 = -3
y - 2 = -3(x + 1)
y - 2 = -3x - 3
y = -3x - 1
Cara has $25 to buy dry pet food and treats for the animal shelter. A pound of dog food costs $2 and treats are $1 a piece. If she buys 9 pounds of food, what is the greatest number of trays she can buy
Answers
Cara has $25 to buy dry pet food and treats.
If she buys 9 pounds of dog food and a pound of dog food costs $2, you can calculate how many treats she can buy using the following steps:
9 pounds of dog food * $2 = $18
$25 - $18 = $7 left
$7 / $1 = 7 treats
Result: Cara can buy 7 treats.
4. fifty people purchase raffle tickets. three winning tickets are selected at random. if each prize is $500, in how many different ways can the prizes be awarded?
Answers
As per the concept of combination method, there are 19,600 different ways in which the prizes can be awarded.
To solve this problem, we can use a combination formula. A combination is a selection of objects without regard to order. In other words, it doesn't matter which order the winning tickets are selected in - we just want to know how many different combinations of three tickets can be selected from fifty.
The combination formula is ⁿCₓ, where n is the total number of objects to choose from, and x is the number of objects to be chosen. In this case, n = 50 (the total number of tickets), and r = 3 (the number of winning tickets).
So, we can calculate the number of ways the prizes can be awarded using the following formula:
⁵⁰C₃ = 50! / (3! * (50-3)!)
Simplifying this equation, we get:
⁵⁰C₃ = (504948) / (321)
⁵⁰C₃ = 19,600
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The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the second number is 97 find the numbers
Answers
Answer:
Below in bold.
Step-by-step explanation:
x^2 - y^2 = 11
2x^2 + y^2 = 97
From the first equation:
y^2 = x^2 - 11
Substituting in the second equation:
2x^2 + x^2 - 11 = 97
3x^2 = 108
x^2 = 36
x = 6, -6.
Substituting for x in the first equation:
(6)^2 - y^2 = 11
y^2 = 36 - 11 = 25
y = 5, -5.
Which is the graph of the function f(x) = -√x
Answers
The graph of the function f(x) = -√x is a reflection of the graph of f(x) = √x across the x-axis. It is a decreasing function with domain x ≥ 0 and range y ≤ 0. The graph starts at the point (0,0) and approaches the x-axis as x increases. It is also symmetric with respect to the y-axis.
The graph of the function f(x) = -√x is a reflection of the graph of f(x) = √x across the x-axis. It is a decreasing function, meaning that as x increases, f(x) decreases. The domain of the function is x ≥ 0, since the square root of a negative number is undefined in the real number system. The range of the function is y ≤ 0, since the output of the function is always negative. The graph of the function starts at the point (0,0) and approaches the x-axis as x increases. It never touches the x-axis but gets closer and closer to it without ever crossing it. The graph is also symmetric with respect to the y-axis, meaning that if we reflect the graph across the y-axis, we get the same graph.For more questions on the graph of the function
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I need help with answer this question
Answers
Answer:
y = 2x/15 + 6
Step-by-step explanation:
3y/2 = x/5 + 9
3y = (x/5 + 9) (2) The 2 that was dividing goes on to multiply on the other side.
3y= 2x/5 + 18
y = (2x/5 + 18) / 3 The 3 that was multiplying goes on to divide on the other side.
y = 2x/15 + 6
PLS HELP ME ILL GIVE YOU BRAINIEST
Answers
Let Pij = the production of product i in period j. To specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units, we need to add which pair of constraints?
P52-P42 <= 80; P42-P52 <= 80
None of the other above.
P24 - P25 <= 80; P25-P24 >= 80
O P24 - P25 >= 80; P25-P24 >= 80
P24 - P25 <= 80; P25-P24 <= 80
Answers
The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.
Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.
Therefore, we can write the following inequalities:
P24 - P25 <= 80
This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.
P25-P24 <= 80
This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.
Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.
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From a temperature of -29.03° F, a solution heats up 26.5° F.
What is the resulting temperature of the solution?
Think about the situation. What operation does the situation require?
Drag a word to the box to correctly complete the statement.
Answers
Answer:
Remember, a positive and a negative while being added is always a negative outcome, so when you add -29.03 + 26.5, you get -2.53
Answer my last question