preform the operation and show work

Preform The Operation And Show Work

Answers

Answer 1

Answer:

1 / (x² + 6x + 8)

Step-by-step explanation:

(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)

= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)

               ↑ factor x² + 5x + 6    ↑ factor x² - 16 using difference of squares

= 1 / (x + 2) * 1 / (x - 4)    ← x + 4 and x + 3 cancel

= 1 / (x + 2) * (x + 4) ← multiply

= 1 / (x² + 6x + 8) ← expand


Related Questions

Shannon rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 13.

Answers

Answer:

0.

Step-by-step explanation:

Fair dice are dice that have 6 sides, and the probability of rolling a side is the same as rolling another.

Since each die has 6 sides, the most you can get from the two dice are 6 + 6 = 12. Therefore, getting a 13 is impossible. So, there is a probability of 0.

Hope this helps!

Jon recently drove to visit his parents who live 528 miles away. On his way there his average speed was 14 miles per hour faster than on his way home (he ran into some bad weather). If Jon spent a total of 22 hours driving, find the two rates.

Answers

Answer:

speed while going = 42, while returning home = 28

Step-by-step explanation:

let his speed on the way to his parents house is (x)

then his speed while returning is x - 14

Time = Distance / speed

528 / x + 528 / x -14 = 22

multiplying the denominator ...

528x + 528x +7392 = 22x^2 +14x

1056x + 7392 = 22x^2 + 308x

0 = 22x^2 -748x -7392

"dividing by 22"

0 = x^2 -34x-336

0 = (x+8) (x-42)

x must be 42

finally jon's speed while back home is  42 - 14 = 28

20 PTS, BRAINLIEST AND EXCELLENT VOTE!!

Answers

Answer:

Median: 15

Range: 9

25th: 14

75th: 17

IQR: 3

Find the first three terms of the sequence below. Tn = 2n² - 3n - 6 Brainliest to the first correct answer!

Answers

Answer:

-7, -4, 3

Step-by-step explanation:

Tn = 2n² - 3n - 6

T1= 2*1²- 3*1- 6= 2- 9= - 7T2= 2*2²- 3*2- 6= 8- 12= - 4T3= 2*3²- 3*3- 6= 18- 15= 3

What is the nth term rule of the quadratic sequence below? 7, 14, 23, 34, 47, 62, 79 Please could someone help me and write a step by step explanation? Thanks :D

Answers

Step-by-step explanation:

The first differences are 7,9,11,13,15,17 and the second differences are 2.

This means that the first term of the sequence is n^2.

Subtracting n^2 from the sequence gives 6,10,14,18,22,26, which has nth term of 4n + 2.

So putting these together gives a nth term of the quadratic sequence of n^2 + 4n + 2.

Hope it helped and tell me if I went wrong :)

2 Points
What is the measure of ZE, in degrees?

Answers

Answer:

B. 84 deg

Step-by-step explanation:

Sides DE and FE are congruent since they both have the same length.

That makes angles D and F congruent.

m<D = m<F = 48

The sum of the measures of the angles of a triangle equals 180 deg.

m<E + m<D + m<F = 180

m<E + 48 + 48 = 180

m<E = 84

In this activity, you will use equations to represent this proportional relationship: Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes. Find the constant of proportionality in terms of minutes per bracelet.

Answers

Answer:

If she makes 3 bracelets in 15 minutes the constant of proportionality is 15/3 = 5 minutes per bracelet.

Answer:

5 minutes

Step-by-step explanation:

Did she can make 3 bracelets in 15 minutes then you have to divide 15/3 to get the number of minutes she can make one bracket. Therefore your answer would be 5 minutes per bracelet.

Hope this helps!

What is the graph of the system y = -2x + 3 and 2x + + 4y = 8?

Answers

Answer:what are you solving it by

Step-by-step explanation:

what is the value of x? PLZ LMK ASAP!

Answers

Answer:

m∠x = 98°

Step-by-step explanation:

Step 1: Find the supplementary angle in the triangle

180 - (53 + 45) = 82

Step 2: Use Supplementary Angles to solve for x

180 - 82 = 98°

Please can anyone still help me with the correct answer.​

Answers

Answer:

Hypoteneuse (y) = b /cos(α)

= 4.24264 = 3√2

Height (x) = √c2 - b2

= √4.24264068711932 - 3^2

= √9

= 3

which is the correct answer ? please help !

simplify to create an equivalent expression 2(-3k-5)

a) -6k - 10
b) 16k + 10
c) 6k + 10
d) 3k + 7

Answers

Answer: A

Step-by-step explanation: 2(−3k−5) = (2)(−3k+−5) = (2)(−3k)+(2)(−5) = −6k−10

I’ve been needing help with this also

The perimeter of a square is 8cm. what is the area?​

Answers

Answer:

4

Step-by-step explanation:

perimeter=4a

8/4=a

a=2

area=a square

=2*2

=4

hope so this will help you

Step-by-step explanation:

given,

perimeter (p)=8cm

or, 4 l =8cm

or, l =8/4

therefore l =2cm

now area of square =l^2

=(2cm)^2

therefore l= 4 cm^2.....is ans wer..

what is the equation of the graph below ​

Answers

Answer:

y = csc (x) + 2

Step-by-step explanation:

From the graph, we can derive the parent function y = csc(x). Notice how there are asymptotes at x = 2πk and x = π + 2πk, which is where csc(x) is undefined.

Finally, we can see a vertical shift of 2 which we can see from the mid-line of the graph which is at y = 3.

Answer:

c

Step-by-step explanation:

edg 2021

The U.S. Census reports Native Americans by Group of answer choices one tribe only or in combination with another tribe plus in combination with any other race. one tribe only, one tribe only or in combination with another tribe, and one tribe only or in combination with another tribe plus in combination with any other race. one tribe only. one tribe only or in combination with another tribe. one tribe only and one tribe only or in combination with another tribe

Answers

Answer:

one tribe only or in combination with another tribe plus in combination with any other race.

Step-by-step explanation:

United States Census Bureau (USCB) is the governmental agency saddled with the responsibility of providing data about the citizens of America and her economy. The Census Bureau was founded on the 1st of July, 1902 and has its headquarter in Suitland, Maryland, United States of America.

The U.S. Census reports Native Americans by one tribe only or in combination with another tribe plus in combination with any other race.

Native Americans are the indigenous people (citizens) of the United States of America and they are also known as the American Indians. The Census Bureau reports them by one tribe only such as Cherokee, Apache, Hopi, Chinook etc or in combination with another tribe such as Aleuts, Tlingit, Chenega, etc plus in combination with any other race such as Black Americans, Asian Americans, White Americans, Native Hawaiian etc.


Which measurements could represent the side lengths of a right triangle?
4 m, 6 m, 10 m
5 ft, 8 ft, 9 ft
O 16 cm, 30 cm, 34 cm
o 18 in., 24 in., 42 in.

Answers

Answer:

16 cm, 30 cm, 34 cm

Step-by-step explanation:

I got this answer simply by plugging each number into my calculator with the following equation:

[tex]\sqrt{x^{2} +y^{2} }[/tex]

When you the lower numbers into the equation, if the lengths really do give you a triangle, then you should get the largest number as your output. This can help you with any of the other questions that you may have to answer.

Only the measurements of 16 cm, 30 cm, and 34 cm could represent the side lengths of a right triangle.

What are Pythagorean triplets?

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,

The side lengths of a right triangle must satisfy the Pythagorean theorem, which states that the sum of the squares of the two shorter sides (the legs) is equal to the square of the longest side (the hypotenuse). Therefore, we need to check which sets of measurements satisfy this condition.

Only the measurements of 16 cm, 30 cm, and 34 cm could represent the side lengths of a right triangle.

For the first set of measurements, we have:

a = 16 cm, b = 30 cm, c = 34 cm

a² + b² = 256 + 900 = 1156

c² = 1156

Since a² + b² = c², these measurements do represent the side lengths of a right triangle.

Learn more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ5

solve for b. b - 7/4 = -2/3

Answers

Answer:

1 1/12

Step-by-step explanation:

b - 7/4 = -2/3

Add 7/4 to each side

b - 7/4+7/4 = -2/3+7/4

b  = -2/3+7/4

Get a common denominator

b = -2/3 *4/4 + 7/4 *3/3

   = -8/12 + 21/12

    =13/12

   = 12/12 +1/12

    = 1 1/12

A sandbag is released from a hot air balloon that is 400 ft above the ground. Using the falling object model, h = −16t^2 + s, where h = height in feet, t = time in seconds, and s = initial height in feet, how long will it take for the sandbag to hit the ground? A. 4 seconds B. 5 seconds C. 20 seconds D. 25 seconds

Answers

Answer:

  B. 5 seconds

Step-by-step explanation:

A graphing calculator shows the answer easily.

__

h(t) = 0 = -16t^2 +400

t = √(400/16) = 5

It will take 5 seconds for the sandbag to hit the ground.

Steve works at an apple orchard and is paid by the bushel for the apples he harvests each day. If Steve harvests 42 bushels or less per day, he is paid y dollars per bushel. If Steve harvests more than 42 bushels per day, he receives y dollars per bushel for the first 42 bushels and is paid 1.5 times that amount for each additional bushel. How many bushels of apples did Steve harvest yesterday

Answers

Answer:

The information given in the question to solve it is insufficient.

The complete question related to this found at GMAT club forum is stated below:

Steve works at an apple orchard and is paid by the bushel for the apples he harvests each day. For the first 42 bushels Steve harvests each day, he is paid y dollars per bushel. For each additional bushel over 42, he is paid 1.5y. How many bushels of apples did Steve harvest yesterday?

1. Yesterday, Steve was paid $180 for the apples he harvested.

2. Today, Steve was paid $240, and he harvested 10 more bushels of apples than he harvested yesterday.

Step-by-step explanation:

1st 42 bushels Steve harvests each day:

Payment of 1 bushel = y dollar

Payment of ≤ 42 bushel = 42× y = $42y

Payment for Additional bushel after the 1st 42 bushels = 1.5y per bushel

Yesterday's Payment = $180

Today's payment = $240

Let the total number Steve harvested yesterday = p

Today he harvested 10 more bushels than he did yesterday

Total number Steve harvested today = p + 10

Now looking at the information in the question:

First statement did not tell us the amount he harvested that got him that pay, so it's insufficient. Second statement alone two is not sufficient to determine yesterdays pay.

In both statement, we were not told if he harvested more or less than 42 yesterday. Neither were we told if the additional 10 bushels was after he had harvested more than 42 bushels.

Let's assume the additional 10 bushels was after he had harvested more than 42 bushels (that is he harvested 42 yesterday) .

Difference in payment = 240-180 = 60

For the additional 10bushels, he was paid $60

10(1.5y) = 60

15y = 60

y = 60/15 = 4

If y = $4 per bushel and he was paid $180, the number he harvested will be:

4 × number of bushels = $180

4p = 180

p = 180/4 = 45 bushels

p = 45bushels isn't possible because the amount for the first bushels should either be less than or equal to 42

If we make another assumption, let's say he harvested more than 42 yesterday (42 + an additional number), we would get a different answer.

Thus the information given in the question to solve it is insufficient.

After the first 4 quizzes, Ron’s quiz average is an 87. There are two quizzes remaining for the quarter and the maximum score for any individual quiz is 100. What is the minimum grade Ron can score on one of these two quizzes and still score high enough on the other so that the final quiz average of the six quizzes is at least a 90?

Answers

Answer:

Minimum = 92 ; maximum =100

Step-by-step explanation:

Total number of quizzes = 6

Number of completed quizzes = 4

Number of quizzes left = 2

Average score on completed quizzes = 87

Target average = 90

Maximum score for any individual quiz = 100

Current total score on the 4 quizzes to obtain an average of 87:

87 * 4 = 348

To obtain an average of 90:

Total score must in the six quizzes must be :

90 * 6 = 540

Therefore total score needed in the remaining 2 quizzes to attain an average of 90:

540 - 348 = 192

Since the highest attainable score is 100:

Maximum score Ron can attain on one quiz = 100

Minimum he can attain in the other = 192 - 100 92 in other to score an average of 90 in the six quizzes.

Hi can any one please help me I really need help please help me I need help

Answers

Answer:

1(a)1,030,000+0.13x

(b)$1,030,026

2. (a)Base and Index

(b)See Explanation

Ste-by-Step Explanation

(a)Total Amount to be paid to the four actors

=500,000+(300,000+0.02x)+(150,000+0.03x)+(80,000+0.08x)

Collect like terms

=500,000+300,000+150,000+80,000+0.02x+0.03x+0.08x

[tex]\text{Total Amount Paid= }1,030,000+0.13x[/tex]

(b)When x=200

[tex]\text{Total Amount Paid= }1,030,000+0.13(200)\\=1,030,000+26\\=$1,030,026[/tex]

Question 2

(a)The two parts of a power are the base and index.

Take, for example, the expression: [tex]a^b\\[/tex]

[tex]a$ is the base\\b is the index[/tex]

Another example using numbers is: [tex]10^3[/tex]

In this case:

[tex]10$ is the base\\3 is the index[/tex]

(b)Like terms are terms that have the same letter/variable attached to them.

For example, the following pairs are like terms

8x and 3x4y and -9y6pq and pq3 and 3

These, however, are not like terms

3 and 3y4x and 4y

The sum of all digits in the numbers 44, 45 and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25. NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Total um of the digits of the first 25 numbers is 127

Step-by-step explanation:

Notice that:

The sum of the digits:

0+1+2+3+4+5+6+7+8+9 = 45

Also notice that the addition of:

10+11+12+13+14+15+16+17+18+19=0+1+2+3+4+5+6+7+8+9 + 10*1 = 45 + 10 = 55

And for the last 6 numbers:

20+21+22+23+24+25 = 0+1+2+3+4+5 + 2 * 6 = 15 + 12 = 27

So the total sum of all this is: 45 + 55 +27 = 127

Express 1/10 cm as a fraction of 3 metres​

Answers

Answer:

1/3000

Step-by-step explanation:

3 meters to centimeters:

3 × 100 = 300

= 1/10 ÷ 300

= 1/10/300

= 1/(10×300)

= 1/3000

When Gene and Kelly were planning their trip to Paris, one United States dollar was worth about $\frac{7}{10}$ of a euro. Before they left, they took 1,000 dollars to the bank and converted them into euros. Two weeks later, they returned home to the United States with 196 euros. To the nearest dollar, how many dollars did they bring back?

Answers

Answer:

$280 dollars

Step-by-step explanation:

When they were leaving

[tex]\$1 \approx \frac{7}{10}$ Euro\\Therefore:\\\$1000 \approx \dfrac{7}{10}\times 1000 =700$ Euro[/tex]

When they returned home, they brought 196 Euros.

[tex]If\:\:\$1 \approx \frac{7}{10}$ Euro\\Then: 1 Euro $=\$ \dfrac{10}{7}\\\\$Therefore:\\\\196 Euros = \$ 196 \times \dfrac{10}{7} =\$280[/tex]

They brought back $280 dollars to the United States.

Answer:

They brought back 280 dollars.

Step-by-step explanation:

From the question, one United States dollar was worth about $\frac{7}{10}$ of a euro implies that:

$1 = 7/10 euro, or 0.70 euro. That is, the exchange rate is $1:0.70 euro.

The equivalence of the exchange $1:0.70 euro can also be obtained by dividing both sides by 0.70 as follows:

$1 / 0.7 = 0.7 / 0.7 => $1.43:1 euro. That is, $1.43 is equal to one euro.

Since they returned with 196 euros and $1.43 is equal to one euro, we will simply multiply 196 euros by $1.43 to obtain the amount of dollars they brought back as follows:

Amount of dollars they brought back = $1.43 * 196 = $280 to the nearest dollar.

Therefore, they brought back 280 dollars.

A swim team must be chosen from 10 candidates. What is the greatest number of different four-person teams that can be chosen?

Answers

Answer:

There are a total of 210 different four-person teams that could be chosen.

Step-by-step explanation:

In order to calculate the greatest number of different four-person teams we need to calculate the combination of 10 people taken four by four as shown below:

[tex]C_{10,4} = \frac{10!}{4!(10 - 4)!}\\C_{10,4} = \frac{10!}{4!*6!}\\C_{10,4} = \frac{10*9*8*7*6!}{4!*6!}\\C_{10,4} = \frac{10*9*8*7}{4*3*2}\\C_{10,4} = \frac{5040}{24} = 210[/tex]

There are a total of 210 different four-person teams that could be chosen.

Translate into an algebraic expressions: b is decreased by 40% and decreased again by 40% . What is the result ?

Answers

Answer:

b-4/5b

Step-by-step explanation:

b is decreased by 80%

dat is 80/100×b

= b-80/100b

b-4/5b

SHOW YOUR WORK!!!!! Best answer gets brianliest :))

Answers

Answer:

6) g = 11p

7) This equation is an example of direct variaction because it is proportional because can make a slanted line with the equation C = 6g + 15

Step-by-step explanation:

Well to find g we seperate g and combine like terms,

[tex]81 = 6g + 15[/tex]

So we subtract 15 from both sides 66 = 6g,

66/6 = 11.

So g = 11.

NEED HELP ON THIS ASAP!! It also has another question that you need to answer which is 10 Solve It! Look at the results in your table. Notice the perimeter and area of an n-gon as n gets very large. Now consider a circle with radius 1. What are the circumference and area of the circle? Explain.

Answers

please which one I'm I meant to solve

H(x)=4x-2;find h(-9)

Answers

Answer: h(-9)=4*(-9)-2=-36-2=-38

-38 is ur answer

Answer:-38

Step-by-step explanation:h(x) =4x -2

H(-9)

substitute for x using -9

H(-9) =4x -2

4(-9) -2

-36-2

H(-9) =-38

Find the missing length.

Answers

Answer:

X = 25

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

15^2 = 9 × x

225 = 9x divide both sides by 9

25 = x

According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance. Suppose the money spent is uniformly distributed between these amounts. If we select a family at random, what is the probability they spend less than $2,000 per year on insurance per year? (Round your answer to 4 decimal places.)

Answers

Answer:

0.471

Step-by-step explanation:

Calculation for the probability that they spend less than $2,000 per year on insurance per year

First step is to find the base

Base =$2,000-$400

=$1,600

Second step is to find the probability using this formula

P=1/b+a×base

Where,

b represents $3,800

a represents $400

base represents $1,600

Let plug in the formula

P=1/$3,800-$400×$1,600

Hence,

P=1×$1,600/$3,800-$400

P=$1,600/$3,400

P=0.471

Therefore the probability that they spend less than $2,000 per year on insurance per year will be 0.471

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But how exactly do advertisements do it? As it turns out, just a few formats characterize the majority of ads. A graphic image shows a city street with colorful ads on tall buildings 2 One common, and very persuasive, type of advertisement is known as the association ad. This advertisement could be a picture of a famous person wearing a designer's shoes or clothing, or driving a certain type of car. It does not bother to tell or show you what the product does. Instead, the message is you've got to have this product because of who you'll be associated with if you own it or wear it. 3 Look, one ad implies, there's your favorite basketball star wearing those sneakers. Don't you want to be just like him? 4 And listen, the next ad invites, to the soundtrack that forms the rhythm and beat of the lives of the cool people who wear these headphones. 5 These types of advertisements may also present an entire socioeconomic or cultural group that it intends the viewer to associate with the product. Moreover, every one of them dresses, looks, and acts the way that the target audience aspires to look, dress, and act. You want to be those people? it asks in a voice so subtle you can barely hear it. Well, then, it answers for you, buy our product. A graphic image shows a group of teenagers modeling the latest clothes and wearing the same brand of sneakers 6 Another ubiquitous advertising type is the you've got to have it because look what it does format, which demonstrates a product. For example, one stain removal product proves to be superior to another by removing a seemingly impossible stain from a shirt. In a television commercial, the viewer learns how rapidly and perfectly a super chopper cuts up vegetables. Often the accompanying voice you hear is straightforward, knowledgeable, and quite friendly. In another variation of this format, the voice can be cautionary instead, warning you about what will happen if you try a competitor's products. A graphic image shows an ad featuring an appliance that chops and blends food 7 Ads that tell a story are found most often in commercials, as a story relies on multiple images and a sequence of events. This format has infinite variations, but imagine one that goes like this: A man is driving in his old car and pulls up next to a new, shiny car at a stop light. He looks at the driver in the new car and imagines that he is the one driving the fancy new car. Images flash across the screenimages of how different the man's life would be if he had that car. Suddenly he flashes back to reality. The brand flashes on the screen or is highlighted prominently on the rear of the new automobile as the light turns green and the car speeds off in front of him. The last scene of this story? Man driving to the new car dealership foryou guessed itthat same car. 8 Then there's the endorsement, which often features someone's voice describing the product. You have to have this product because . . . I lost weight with it . . . my hair grew back . . . I can do the things I used to do again . . . the basic message being, look what it did for me! The speaker may be holding the product, tasting it, wearing it, showing before and after pictures. This format is about the message. A photo shows an ad featuring a woman with a bright white smile and holding a tube of toothpaste and a toothbrush 9 You will notice from these examples that the lines between ad formats can get blurred; some endorsement ads tell stories, and some story ads also depend on associations. However you categorize them, it does appear that most advertisements fall into a pre-determined type. While that may seem repetitive, it is a model that works. Out of five thousand ads a day, one of those is certain to catch your attention. Which feature makes the passage a good example of pop-culture writing? a. the analysis of current advertising trends b. the use of logical arguments c. the use of historical facts about advertising d. the formal tone of the writing On a temperature versus time graph, how does the temperature at the beginning of a change of state compare with the temperature at the end of the change? always lower always the same usually lower usually higher