[tex]\frac{x-2}{x^2+4x-12}[/tex]

Answers

Answer 1

Answer:

1/(x+6)

Step-by-step explanation:

I'm assuming you want me to factorize

x^2+4x-12 would factorize into (x-2) and (x+6)

Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)


Related Questions

If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
when q is equal to 5.

Answers

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

[tex]p = \frac{k}{q^2}[/tex]

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

[tex]p = \frac{k}{q^2}[/tex]

[tex]25 = \frac{k}{3^2}[/tex]

[tex]k = 25*9 = 225[/tex]

So

[tex]p = \frac{225}{q^2}[/tex]

Determine p when q is equal to 5.

[tex]p = \frac{225}{q^2} = \frac{225}{5^2} = 9[/tex]

p = 9 when q = 5.

what is the missing value 4+9=9+?

Answers

Answer:

TᗩKᗴ Tᕼᗴ ᗰIՏՏIᑎᘜ ᐯᗩᒪᑌᗴ ᗩՏ ᙭

[tex]4 + 9 = 9 + x \\ 4 + 9 - 9 = x \\ 4 = x[/tex]

=> ᵗʰᵉ ᵐⁱˢˢⁱⁿᵍ ᵛᵃˡᵘᵉ ⁱˢ 4.

The missing Value is 4.

What is Commutative property?

According to the commutative property, the numbers on which we operate can be swapped out or moved without affecting the result. Subtraction and division are not supported by the property, but addition and multiplication are.

Given Expression

4 + 9 = 9 + ?

According to Commutative  property

A + B = B + A

for expression

4 + 9 = 9 + 4

or let missing number be x

4 + 9 = 9 + x

x = 4 + 9 - 9

x = 4

Hence the missing value is 4.

Learn more about Commutative property;

https://brainly.com/question/778086

#SPJ2

choose the expression that represents the fraction as a product of a whole number and a unit fraction 4/10​

Answers

Answer:

69

Step-by-step explanation:

trust me

Let's say you have a 4 gallon and a 10 gallon pailHow can you measure exactly 2 gallons of water?

Answers

You can fill the 10 gallon pail all the way up. After that, you can pour the water from the 10 gallon pail, into the 4 gallon pail 2 times. That will leave you with 2 gallons in the 10 gallon pail.

Please help me 7th grade math

Answers

Answer: 1/8

Step-by-step explanation: hoped this helped :))

Meatball subs used to cost $5.40 at Mike's Sub Shop, but he just increased the price by $0.54.

How much do subs cost now?

Answers

Answer:

Step-by-step explanation: $5.40 + $0.54 now equals $5.94

Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of your points must include decimals or fractions.
(I ALREADY HAVE THE PLOTTED POINTS BUT I NEED TO SHOW THE WORK......PLS HELP)

Answers

Answer:

Two additional solutions are:

(21, 1/3)

(17, 5/3)

Step-by-step explanation:

We have the equation:

x + 3*y = 22

Now we want to find two solutions (x, y).

To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.

Let's isolate x.

x = 22 - 3*y

Now we can change the value of y by a known value, and then solve the equation for x.

For example, if we define:

y = 1/3

then:

x = 22 - 3*(1/3)

x = 22 - 1 = 21

x = 21

Then the point (21, 1/3) is a solution of the equation.

Now let's input another value of y, for example, we can use y = 5/3

(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.

x = 22 - 3*(5/3)

x = 22 - 5

x = 17

Then the point (17, 5/3) is a solution of the equation.

A random sample of failure time of 49 kidney transplants (in months) is given: 5.27 43.72 3.96 20.34 44.06 31.18 21.98 34.99 39.36 3.39 23.42 43.41 34.35 46.71 64.87 4.53 7.02 40.50 7.38 37.74 13.49 68.48 48.74 12.85 24.15 27.33 4.82 20.00 55.28 20.83 24.13 11.80 13.82 31.55 36.69 52.57 12.45 40.07 16.86 15.54 15.54 3.85 4.08 5.62 17.44 3.38 41.61 29.52 21.61 If we assume failure time has a Gamma distribution answer the following questions (with 2 decimal points). . Find the critical value for the test (for significance level of 0.1).

Answers

Answer:

Critical value ≈ 1.299

Step-by-step explanation:

number of Kidney transplant ( n )  = 49

Determine the critical value for the test

the sample mean = ∑ failure time / n  = 1252.28 / 49 = 25.56

next we determine the standard deviation of the sample

s = [tex]\sqrt{1/(n-1)(xi -X ) ^2}[/tex] = 17.3126

standard error = s / √n  = 17.3126 / 7 = 2.4732

Given  a significance level of 0.1

df (degree of freedom ) = n -1 = 49 - 1 = 48

∝ = 0.1

critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )

A passenger must climb 7 steps to a platform to enter the gondola. Each step is 7.5 inches. What would the equation of the ferris wheel circle be on a cartesian coordinate graph if the x-axis is the ground and the y-axis is the axis of symmetry of the ferris wheel.

Answers

Answer:

55

Step-by-step explanation:

The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

What is Ferris wheel?

A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.

What is the standard equation of the circle?

The standard equation of the circle is

[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

Where,

(h, k) is the center of the circle

and, r is the radius of the circle

According to the given question.

The diameter of the Ferris wheel is 200 feet

[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]

Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet

Therefore,

[tex]k = 4.375+100 = 104.375feet[/tex]

and

[tex]h = 0[/tex]

Therefore, the equation of the Ferris wheel circle is

[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

Find out more information about equation of the circle here:

https://brainly.com/question/10618691

#SPJ3

Find cos 0
16
20
12
A.
12
16
B.
12
20
C.
16
20
10
D.

Answers

Answer:

b cuz its cosine but i flipped the numbers so it can be 20 over 12 and gave me exactly 0

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(θ) in the given triangle is 0.6.    

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm \sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

In a right angle, the cosine function of trigonometry is the ratio of the base of the triangle and the hypotenuse of the triangle.

For angle θ, the dimension of the triangle will be,

Perpendicular = 16

Base = 12

Hypotenuse = 20

Now, the measure of cos(θ) will be,

Cos(θ) = Base / Hypotenuse

           = 12 / 20

           = 6 / 10

           = 0.6

Hence, the value of cos(θ) in the given triangle is 0.6.

Learn more about Trigonometric functions here:

https://brainly.com/question/6904750

#SPJ5

A small country emits 130,000 kilotons of carbon dioxide per year. In
a recent global agreement, the country agreed to cut its carbon
emissions by 3.1% per year for the next 10 years. In the first year of the
agreement, the country will keep its emissions at 130,000 kilotons and
the emissions will decrease 3.1% in each successive year. How many
total kilotons of carbon dioxide would the country emit over the course
of the 10 year period, to the nearest whole number?

Answers

Answer:1132858

Step-by-step explanation:

The total carbon dioxide the country emit over the course of the 10 year period would be 1,132,858 kilotons.

What is rate of decrease?

The rate of decrease is a constant amount of deduction from a fixed or primary amount.

Here, the carbon dioxide emits by the country per year is 130,000 kilotons.

The rate of decrease of the carbon dioxide emission per year would be 3.1%.

In the 1st year, the carbon dioxide emission = 130,000 kilotons.

In the 2nd year, the carbon dioxide emission = 130,000 × (100-3.1)/ 100 kilotons = 125,970 kilotons.

In the 3rd year, the carbon dioxide emission = 125,970 × (100-3.1)/ 100 kilotons = 122,064.93 kilotons.

In the 4th year, the carbon dioxide emission = 122,064.93 × (100-3.1)/ 100 kilotons = 118,280.92 kilotons.

In the 5th year, the carbon dioxide emission = 118,280.92 × (100-3.1)/ 100 kilotons = 114,614.21 kilotons.

In the 6th year, the carbon dioxide emission = 114,614.21 × (100-3.1)/ 100 kilotons = 111,061.17 kilotons.

In the 7th year, the carbon dioxide emission = 111,061.17 × (100-3.1)/ 100 kilotons = 107,618.27 kilotons.

In the 8th year, the carbon dioxide emission = 107,618.27 × (100-3.1)/ 100 kilotons = 104,282.1 kilotons.

In the 9th year, the carbon dioxide emission = 104,282.1 × (100-3.1)/ 100 kilotons = 101,049.35 kilotons.

In the 10th year, the carbon dioxide emission = 101,049.35 × (100-3.1)/ 100 kilotons = 97,916.82 kilotons.

Hence, total carbon dioxide emission by that country over 10 years = (130,000 + 125,970 + 122,064.93 + 118,280.92 + 114,614.21 + 111,061.17 + 107,618.27 + 104,282.1 + 101,049.35 + 97,916.82) kilotons = 1,132,857.77 kilotons ≈ 1,132,858 kilotons.

Learn more about rate of decrease here: https://brainly.com/question/14163915

#SPJ2


2. Bart and Jimmy's Ice Cream Shop are designing a new logo for their company. The logo is shown
below. What is the area of Bart and Jimmy's new logo?
A 88.26 cm?
B 74.13 cm
C 58.26 cm
D 44.13 cm
HURRY

Answers

Answer:

Marie Skłodowska-Curie

Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.

^ po polsku być powinno

Kto Polska?

Mrs.Kenny teaches a ceramics class.She finds that she has 7/8 pounds of clay for a project. The project requires 1/6 of a pound.How many projects can Mrs.Kenny complete withought running out of clay


PLS FAST

Answers

7/8 = 21/24 1/6= 4/24 ——-> can go into 21/24 5 times. So the answer is 5.

Determine the amplitude or period as requested. Period of y = - 1/3 * sin 2x

Answers

Answer:

[tex]Period = \pi[/tex]

Step-by-step explanation:

Given

[tex]y = -\frac{1}{3} * \sin(2x)[/tex]

Required

The period

A sine function is represented as:

[tex]y =A \sin(Bx + C) + D[/tex]

Where

[tex]Period = \frac{2\pi}{B}[/tex]

By comparing:

[tex]y =A \sin(Bx + C) + D[/tex] and [tex]y = -\frac{1}{3} * \sin(2x)[/tex]

[tex]B = 2[/tex]

So, we have:

[tex]Period = \frac{2\pi}{2}[/tex]

[tex]Period = \pi[/tex]

Hence, the period of the function is [tex]\pi[/tex]

Sin 0= 8/17 determine the value of tan?

Answers

Answer:

tan theta = 8/15

Step-by-step explanation:

Sin is equal to opposite over hypotenuse. So it means that the side opposite from theta is 8, and the hypotenuse is 17.

To find the value of the adjacent side from theta, use the Pythagorean Theorem.

a^2 + b^2 = c^2

8^2 + b^2 = 17^2

64 + b^2 = 289

Subtract 64.

b^2 = 225

Take the square root.

b = 15.

So that means:

the side opposite from theta is 8,

the side adjacent from theta is 15,

the hypotenuse is 17.

Now we take tan, opposite over adjacent, and use the values from the triangle.

tan = opposite / adjacent

tan = 8/15.

Which of the following rational numbers can be multiplied by two and result in a number greater than two?
A: 5/6 B:8/9 C:9/8 D: 11/12

Answers

The answer is C. 9/8

A dance studio is offering a ballroom dancing class. In order for the class to be held, a minimum of 20 people must sign up to take the class. The studio ballroom can accommodate up to 60 people at a time. Which inequality graph models the number of individuals that can be in the class?​

Answers

Answer:

B.

Step-by-step explanation:

The dance studio can have between 20 and 60 people. The holes are closed be 20 and 60 are included

NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.

Answers

Answer:

positive

Step-by-step explanation:

hope this helps :)

Answer:

positive

Step-by-step explanation:

because your adding +2 when ur at 0

Farmer Bob can get 10 gallons of milk from 4 cows. How many gallons of milk can he get from 14 cows?

Answers

Answer:

40 gallons of milk

Step-by-step explanation:

trust me that's the answer

The farmer will get 35 gallons of milk from 14 cows.

Process:

1) find the unit rate. do this by taking the independent value and divide it by the dependent value

10/4=2.5

2) Take this number and multiply it by the next dependent value

2.5 x 14 = 35

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

q = 55 StartRoot 5 EndRoot
q = -5Negative 5 StartRoot 5 Endroot
q = 33 StartRoot 5 Endroot
q = -3Negative 3 StartRoot 5 EndRoot
q = 2525 StartRoot 5 EndRoot

100 points i just need helpp

Answers

Answer:

5sqrt(5) = q

-5sqrt(5) = q

Step-by-step explanation:

f(q) = q^2 -125

To find the roots set the equation equal to zero

0 = q^2 -125

Add 125 to each side

125 = q^2 -125+125

125 = q^2

Take the square root of each side

±sqrt(125) = sqrt(q^2)

±sqrt( 5*25) = q

±sqrt( 25)* sqrt(5) = q

±5* sqrt(5) = q

±5sqrt(5) = q

Answer:

Guy above deserves brainliest

Step-by-step explanation:

Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What is his hourly and weekly pay rate

Answers

Answer:

$15 / hr

$450 / week

Step-by-step explanation:

30 h x 52 w = 1560 hrs

$23400 / 1560 = $15 / hr

$15 * 30 hrs = $450 / week

What is the median of 1, 3, 6, 8, 9, 9
Answer choices: A. 6
B. 7
C. 8
D. 9

Answers

Answer:

B

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

1,  3,  6,  8,  9,  9

           ↑ middle

median = [tex]\frac{6+8}{2}[/tex] = [tex]\frac{14}{2}[/tex] = 7 → B

Answer:

B. 7

Step-by-step explanation:

(6 + 8) ÷ 2 = 7

I hope this is right if its not im sorry

–5x+4

constant
coefficient:
variable:

Answers

Answer:

constant: 4

coefficient:-5

variable:x

Step-by-step explanation:

You can easily search up the definition of each word and figure it out just saying. It's fine if u wanna do this-

You are renting a car. You can choose a compact, mid-size,
full-size, or sports utility vehicle. From those
categories you can choose a low, average, or high priced
model. How many different automobile choices do you have?

Answers

2 automobile choices the others are just add ons

Answer:

I believe the answer is 4

Step-by-step explanation:

If a dog eats 1/4 pound of food each day, how many days will it take the dog to eat a 5 pound bag of food?

Answers

Answer:

20 days

Step-by-step explanation:

0.25 pound of food is eaten in 1 day

1 pound of food is eaten in 1 / 0.25

5 pound of food is eaten in 5/0.25 = 20 days

What is the perimeter of triangle ABC?

12 units
13 units
14 units
18 units

\

Answers

Step-by-step explanation:

Here

A(-2,6)B(1,2)C(-2,-2)

Now,

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-2-1)^2+(6-2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{25}=5units[/tex]

And,

[tex]\\ \tt\hookrightarrow BC=\sqrt{1+2)^2+(2+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{(3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{25}=5units[/tex]

And

[tex]\\ \tt\hookrightarrow AC=\sqrt{(-2+2)^2+(6+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{(0)^2+(8)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{8^2}=\sqrt{64}=8units[/tex]

Now

[tex]\\ \tt\hookrightarrow perimeter=5+5+8=18units[/tex]

#9 What is the RADIUS of this circle?
5 cm
Someone plz help my friends ain’t responding

Answers

Answer and Step-by-step explanation:

The radius of this circle is 5 cm.

This is because the radius of any circle is the distance from the middle of the circle to the edge of the circle. The diagram shows us 5cm as that distance.

#teamtrees #PAW (Plant And Water)

If one side of a cube measures x cm what is the volume

Answers

Answer:

The volume is x times x times x which is x^3 :)

Can you figure out the answer?​

Answers

she needs 1680 grams
Divide 480 by 4. That will give you how many grams per person. You will get 120 grams per person. Now multiply 120 by 14. That will give you the number of grams needed for 14 people. The answer will be: 1,680 grams

Which choice is the slope-intercept equation of the line shown below?
(1,2)

(0, -1)

A. y = 3x - 1
B. y = 2x-1
C. y = 2x + 1
D. y = 3x

Answers

Answer:

C is my answer

Step-by-step explanation:

Other Questions
Choose the correct adverb for the sentence.Sue talked _______ than you did.A. most softlyB. softlyC. more softlyD. softer What are two Spanish words with the root nio in it? What are two Spanish words with the root mesa in it? Why did small towns and cities begin to pop up? NO FILESGroup of answer choices? if you don't know don't answer, and do not tell me to go to a websiteA. Settlers wanted the lifestyle of a city and wanted nothing to do with farms.B. People settled where they could sell goods or offer services to settlers on farms.C. Over the years, people lost the skills required to farm and had to find other jobs to do.D. Every last piece of farmland was taken, so towns and cities were the only choices. In my country, we make so much waste, we buy and throw away, buy and throw away, buy and throw away, and yet northern countries will not share with the needy. (Repetition) purpose and effect on the audience using repetition Directions: Identify the instruments described.Write your answer on the blanks provided.1. These are instruments that areplucked, strummed and bowed.2. It is a one -stringed fiddle instrumentof Bilaans also called Kugot.3. It is a bamboo polychordal tubezither of the Bagobo.4. It is a ring flute of Bilaan andTiruray, Maguindanao, Samal, Tausug and Yakan5. It is a lip-valley flute.Need answer today please ill mark u PEOPLE YOU ARE SMARTER THAN ME HELP Analia is a school district manager. Here are some details about two schools in her district for the last school year:School A School BNumber of students 300030003000 400040004000Number of teachers 190190190 380380380Graduation rate 86\%86%86, percent 90\%90%90, percentBudget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000% of students in sports club 62\%62%62, percent 68\%68%68, percentNumber of sports medals won 999 777SAT average 120012001200 105010501050SAT range (max-min) 900900900 700700700Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is a measure of inequality, which we want to minimize as much as possible).1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options. Use complex language when speaking to toddlers so that they can learn to use complex sentences.TrueO False Vent in which the Super Man is badly damaged and put out of commission. Group of answer choices Attack on Wake Atoll Battle of Midway Battle of Nauru Attack on Pearl Harbor 1.When solid water changes directly to water vapor without first becoming a liquid, the process is called? Please help! Im so confused and Im being timed! I will give brainliest! Which of the following is evidence that a chemical reaction has occurred? PLEASE HELPWhat are factors that can influence demand? Check all that apply.the availability of raw materialsindividual tastes and preferences change in price of a substitute goodthe availability of labor and resourcesthe number of consumers in the marketchange in price of a complementary good i will need the answer for this ASAP!!!! The hunger games chapter 13, I need three examples of manipulation. The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket. aFilling up the pockets with gold coins, Aladdin laughed andlaughed. The underlined part of the sentence is:PhraseB. Conditional ClausePrepositional Phrase D. Grammatical Clause The text suggests that children create overhead projector sheets.True or false What role did President Johnson play in U.S. involvement in the Vietnam War? *He led the protest movement against the Vietnam War.He sent U.S. military advisors to Vietnam.He gradually decreased U.S. involvement in the Vietnam War.He was the first U.S. President to send troops to Vietnam and increased U.S. involvement in the Vietnam War. Can someone plz help me on this science its due today and STAAR test is next week