x+4 over x^2-5x+6 ÷ x^2-16 over x+3

Answers

Answer 1

Answer:

x =± 4

Step-by-step explanation:

Solve for x:

x^2 - 16 = 0

The left hand side factors into a product with two terms:

(x - 4) (x + 4) = 0

Split into two equations:

x - 4 = 0 or x + 4 = 0

Add 4 to both sides:

x = 4 or x + 4 = 0

Subtract 4 from both sides:

Answer: x =± 4

Answer 2

Answer: (x + 3) / (x - 2)(x - 3)(x - 4)

Step-by-step explanation:

The problem given can be viewed as

a/b over c/d

where a/b is the top fraction and c/d is the bottom fraction.

This can be rearranged to

a × d / b × c

So, you will have:

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

Now, factor the two bottom polynomials so you end up with:

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

Cancel the (x + 4) on the top and bottom so you’re left with the answer:

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

If you need to find the solutions to x, set the denominator equal to zero.

x = 2

x = 3

x = 4


Related Questions

Which ratios are equivalent? PLEASE EXPLAIN :D

A) 6/8, 2/3
B) 1/5, 12/15
C) 9/12, 3/4
D) 10/12, 5/7

Answers

Answer:

C) 9/12, 3/4

Step-by-step explanation:

To find which ratios are equivalent, we have to simplify them.

A)

6 and 8 have a GCF of 2, so 6/2 = 3, and 8/2 = 4. We do not get 3/4 as the fraction- we get 2/3. Thus, this cannot be the correct answer.

B)

The GCF of 12 and 15 is 3, so 12/3 = 4, and 15/3 = 5. We do not get 4/5 as the fraction- we get 1/5. Thus, this cannot be the correct answer.

C)

The GCF of 9 and 12 is 3, so 9/3 = 3, and the 12/3 = 4. We get the fraction as 3/4, which 3/4 = 3/4

Therefore, the answer is C).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The answer to this question is: C

A chemistry experiment requires 825.00 grams of sucrose and you have
30.00 ounces available, is there enough? (28 grams = 1 ounce)
Mathematically show your answer, no credit will be giving for just writing
yes or no.*

Answers

Answer:

yes

Step-by-step explanation:

you first need to convert the 825 grams to about 29.46 ounces if you round to the hundredths place (825/28) then you can see that 30>29.46 so you will have a bit extra sucrose after doing the expirement

Asking again: Select the correct statements

Answers

The answer is B and E

Using the BOX PLOT above, what is the Upper Quartile?

Answers

Answer:

Upper Quartile is 16 according to the diagram.

Is this angle supplementary or congruent? Please help.

Answers

Answer:

supplementary

Step-by-step explanation:

we have,

3x+15+2x=180

=> 5x +15 = 180

=> 5x = 180-15

=> 5x = 165

=> x = 165/5

=> x= 33

so, 3x+15 = 3*33+15

=> 99+15

=>114

2x = 2*33

=> 99

now we can check if these angles are supplementary

114 + 99 = 180

so, they are supplementary

y = 2(z - 6)? – 1
graph the equation

Answers

Use Desmos. It’s a free graphing and calculating website

I’ll give likes , rates , and Brainly for helping please help !

Answers

Answer: C

Step-by-step explanation:

Answer:

B. SSA

Step-by-step explanation:

Since segments JK and RQ are parallel, they are similar by both extending at the same angle and both segments formed by the parallel lines being proportional segments.Since the lengths of segments KZ and ZR are given, they are similar because they are proportional.Since vertical angles are always equivalent by the Vertical Angles Theorem, angles JZK and RZQ are congruent.

Because we have 2 sides with a non-included (not in-between the two sides) angle, the triangles are similar by SSA Similarity.

I hope this helps!

please answer 12.) quick ! :(

Answers

Answer:

A: $48.53

B: $58.23

Step-by-step explanation:

7% of 45.36 is 3.17.

20% of 48.53 is 9.70.

correct me if i'm wrong. hope this helps. :)

Please 40 points and will mark as a brainlest

Answers

Answer:

If it is raining, then soccer practice is cancelled

If soccer practice is cancelled, then you can go to the mall

Step-by-step explanation:

p then q

q then r

p, r

The value of x in the given proportion is:
x/9= 9/3
(those are fractions)

A 12
B 15
C 45
D None of these choices are correct.

can someone please help me??​

Answers

Answer:

D None of these choices are correct.

Step-by-step explanation:

The value of x is 27.

[tex]\frac{x}{9} = \frac{9}{3}[/tex], x = 9 x [tex]\frac{9}{3}[/tex] = 27

Renee is walking to a store that is 2. 5 kilometers from her house. After 700 meters, she stops at her friend’s house
What is the distance that Renee will walk from her friend’s house to the store?

Answers

Because she stopped at her friend's house on the way to the store, it can be seen that there is no detour. This means that the distance between her friend's house to the store is a subtraction problem

2.5 km - 700m=2500m-700m=1800m or 1.8km

I hope this helps fell free to ask any questions about this explanation.

The product of -6 and a number

Answers

Answer:

-6x

Step-by-step explanation:

This is correct because an unknown product is always classified as a variable or a most common used one, X. The product of -6 with an uknown variable, also known as a number, is -6x. Hope this helped and have a Great Day!!!

The product of 6 ...

what is 244 + 6
pls give me relevent answer

Answers

It’s 250? Or is it not

Answer:                                                                         1

                                                                                     4

244+6=300  [its a simple addition right?]                 3

brainliest?                                                                      J

                                                                                       E

                                                                                       N

                                                                                      <3   :)

If guy walks from his house to school
and back how far does he walk?

Answers

Answer: Depends how long he's in school and how far away it is from his house.

Step-by-step explanation:

The square root of 250a^2 plus the square root of 10a^2 is?

I really need help quickly.
Thank you!!

Answers

Your answer is 6x √10
The answer is 6a root 10

See attached picture for explanation

If the value of "y" varies directly with "x"
and y =-8 when x=4.
Find "y" when x =-4.
Please show work if you want a brainiest!!

Answers

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \qquad \textit{we also know that} \begin{cases} y=-8\\ x = 4 \end{cases}\implies -8=k(4) \\\\\\ \cfrac{-8}{4}=k\implies -2=k ~\hfill therefore~\hspace{10em}\boxed{y=-2x} \\\\\\ \textit{when x = -4 what is "y"?}\qquad y=-2(-4)\implies y=8[/tex]

Answer:

y=8

Step-by-step explanation:

I didn't need a equation if they vary directly with each other then if the sign switches from 4 to -4 then -8 must have switched to 8

The diameter of a cylinder is 8cm and the height is 2. What is the Volume? (NOTE: V=r2h)

Answers

Step-by-step explanation:

diameter= 8

radius=diameter/2

=8/2

=4

height=2

Volume =r2h

=4*2*2

=16

therefore the volume of the cylinder is 16 cm^3

hope it helps u

pls mark it as the brainliest

Help on this? thanks (:

Answers

Answer:

D

Step-by-step explanation:

24-6 = 18 32-6x3=18

Hope this helped!

Answer:

the answer is D. 6 bottles

please help! Find the value of the convergent series:

Answers

Answer:

2.25

Step-by-step explanation:

Notice how the common ratio is -1/3, which means the series passes part 1 of the convergence test because -1/3 is in between -1 and 1.

We can also represent this as a summation series of

[tex]Σ3( - \frac{1}{3} ) {}^{n - 1} [/tex]

Since we can represent this a summation series, we can use that convergent value is equal to

[tex] \frac{a _{1} }{1 - r} [/tex]

where a1 is initial term and r is common ratio.

R is -1/3

A1 is 3.

[tex] \frac{3}{1 - \frac{ - 1}{3} } = \frac{3}{ \frac{4}{3} } = 2.25[/tex]

So the answer is 2.25

for f(x)=3x+1 and g(x)=x²-6, find (fog)(4).

Answers

Answer:

The answer is 31 hope this helps

The following bar chart shows the number of different types of animals at two county fairs. Fair X had a total of 645 animals, and fair Y had a total of 590 animals. Which of the following statements is supported by the bar chart?

Answers

Answer:

The percentage of all animals at fair Y that are goats is greater than the percentage of all animals at fair X that are goats.

Step-by-step explanation:

From the bar chart,  we can see that 100 goats were present at fair X and Y

Let us now calculate the percentage of goats at each fair:

Fair X = 100/645 * 100 = 15.5%

Fair Y =100/590 *100 = 16.9 %

Hence there was a greater percentage of goats at fair Y than at fair X.

The bar chart is missing and so i have attached it.

Also, the question is incomplete and the missing part of the question is;

Which of the following statements is supported by the bar chart?

a) The total number of cows, pigs, and horses combined is less at fair X than at fair Y.

b) Fair X has at least 20 more chickens than fair Y.

c) At fair X, the number of sheep is twice the number of horses.

d) The percentage of all animals at fair Y that are goats is equal to the percentage of all animals at fair X that are goats.

e) The percentage of all animals at fair Y that are goats is greater than the percentage of all animals at fair X that are goats.

The only Statement that supports the bar chart is statement E.

A) Looking at the bar chart attached, we can see that;

At fair X: Cows = 50, Pigs =60, Horses = 80. Total = 50 + 60 + 80 = 190

At fair Y:  Cows = 60, Pigs = 80, Horses = 40. Total = 60 + 80 + 40 = 180

Total in fair X is greater than total in fair Y. Therefore statement in question is false.

B) From the bar chart;

At fair X; chickens = 90

At fair Y; chickens = 80

Difference = 90 - 80 = 10

Thus,statement in question is wrong.

C) At fair X;

Sheeps = 140

Horses = 80

Twice number of horses is not same as sheep. Thus, statement in question is wrong.

D) Total number of animals at fair Y = 60 + 80 + 40 + 80 + 100 + 90 + 140 = 590

Percentage that are goats = 100/590 × 100 = 16.95%

Total number of animals at fair X = 50 + 60 + 80 + 90 + 100 + 125 + 140 = 645

Percentage that are goats = 100/645 × 100 = 15.5%

The percentages are not equal and so the statement in the question is wrong.

E) True because from D above percentage that are goats at fair Y are more than the percentage that are goats at fair X.

Find the length of the third side. If necessary, round to the nearest tenth. 6 5​

Answers

Answer:

7.81

Step-by-step explanation:

Pythagorean theorem

[tex]\sqrt{6^{2} +5^{2} }[/tex]

[tex]\sqrt{61}[/tex]= 7.81

c = 7.81

Law of Cosines

[tex]c=\sqrt{b^{2} +a^{2}-2ba*cos(C) }[/tex]

[tex]c=\sqrt{6^{2}+5^{2}-((2*6*5)*cos(90)) }[/tex]

c = 7.81

Find the values of the variables for the parallelogram.

mZ1 = 5y – 20

X=

Y=

Z=

Answers

Answer:

Step-by-step explanation:

b. The quotient of f and the quantity of g increased by 11

Answers

Answer:

[tex]\cfrac{f}{g+11}[/tex]

Step-by-step explanation:

We are looking for a fraction with the numerator f and denominator g + 11.

This is:

[tex]\cfrac{f}{g+11}[/tex]

please help! :0
Which of the following is not a characteristic of a point?

A. Flat surface
B. Named using a capital letter
C. No depth or width
D. Undefined term

Answers

Answer:

D. Undefined term

Step-by-step explanation:

Points are flat surfaces, named using a capital letter, and have no depth or width because they are on a FLAT plane. Just like lines are named "line A", are on a flat surface, and have no depth or width, points also share these characteristics because they are all on a plane. However, a point is not an undefined term, it is a defined term.

A point is a geometric feature used for the definition of geometric objects

The option which is not a characteristic of a point is option A:

A. Flat surface

The reason for the above selection is as follows:

A point in Euclidean geometry is a concept that defines an exact spatial location

The characteristics of a point are:

A point only represents position, it has no dimensions; It does not have a thickness, width, or lengthThe explanation given of a point is made by use of descriptions or examples and therefore, a point is considered an undefined termA point can be denoted or named using capital letters and represented using dots

A flat surface is defined by three noncolinear points

Therefore;

The given option which is not a characteristic of a point is therefore option A. Flat surface

Research more about the characteristics of points here:

https://brainly.com/question/4700224

https://brainly.com/question/2751182

can some one help plz

Answers

Answer:

i believe its 8 to 12 im not exactly sure of my answer

Step-by-step explanation:

Pls help me by answering these :(

Answers

Answer:

1) 21

2a) -23/30

2b) 6/55

Step-by-step explanation:

1) 3(x + 2) + 5x + 7

expand the brackets:

= 3x + 6 + 5x + 7

collect like terms:

= 8x + 13

when x = 1, (just substitute 1 for x)

8(1) + 13

= 8 + 13

= 21

2a)

-9/10 + 2/15

put both fractions on the same denominator (often we can just multiply each denominator by the other one):

so -9/10 * 15/15

= -135/150

and 2/15 * 10/10

= 20/150

now they're both on the same denominator and we can add the numerators:

-135 + 20 = -115

so our answer is:

-115/150

which we can simplify to:

-23/30

2b)

3/11*2/5

Multiplying fractions is very simple, as it doesn't require to have the same denominators. We can just multiply the numerators by each other and same for the denominators:

3*2 = 6

11*5 = 55

therefore, our answer is:

6/55

A)

3(x+2) + 5x + 7

3x + 6 + 5x + 7

3x + 5x + 6 + 7

put x = 1

3(1) + 5(1) + 6 + 7

3 + 5 + 6 + 7

21

B)

a)

[tex]\sf \rightarrow -\dfrac{9}{10} + \dfrac{2}{15}[/tex]

[tex]\sf \rightarrow -\dfrac{9(15)}{150} + \dfrac{2(10)}{150}[/tex]

[tex]\sf \rightarrow -\dfrac{135}{150} + \dfrac{20}{150}[/tex]

[tex]\sf \rightarrow \dfrac{-135+20}{150}[/tex]

[tex]\sf \rightarrow \dfrac{-115}{150}[/tex]

[tex]\sf \rightarrow \dfrac{-23}{30}[/tex]

b)

[tex]\sf \rightarrow \dfrac{3}{11} \ * \ \dfrac{2}{5}[/tex]

[tex]\sf \rightarrow \dfrac{3*2}{11 *5}[/tex]

[tex]\sf \rightarrow \dfrac{6}{55}[/tex]

Round each decimal number to the nearest tenth. Then, select the best estimate for the subtraction equation 1.79 − 0.67 = ___.

Answers

Answer:

1.10

Step-by-step explanation:

1.79

0.67

1.12 rounded is 1.10 to the nearest tenth

16. Rihanna is the founder and CEO of Fenty Beauty on the release day of her new product,
Flyliner Longwear Liquid Eyeliner, she sold 400 eyeliners
and averaged 50 eyeliner sales
per day after that.
Which equation models the number of Flyliner Eyeliners, f, did Rihanna sell after d days.
A. f = 400 + 50d
B. f = 50 + 400d
C. d = 50 + 400f
D. d = 400 + 50f

Answers

Answer:

A. f = 400 + 50d

Step-by-step explanation:

First, let's understand each quantity/variable.

d: The variable, d, represents the number of days.f: f represents the total amount of eyeliners sold after each day.400 eyelines sold: This means that Rihanna sold 400 eyeliners on the first day of the release of her liquid eyeliner. This is known as the y-intercept.50 eyeliner sales per day: This means that after her first day, Rihanna sold 50 eyeliners each day. This can be represented as 50d.  

Now that we understand these variables, we can conclude that the equation would be A. f = 400 + 50d because to find the total, we have to add the 400 eyeliners sold at the beginning to the 50 eyeliner sales per day.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Find the combined volume of the figure

Answers

answer:

12 x 4 = 4 you have to multiply and divide and do math and geometry and to be honest i have no idea what i doing but just pretend like this the answer  

Other Questions
Simplify the expression 10+ (a + 9) Im confused on what the answer is. Can anyone help me and explained it? A simple route to appreciate other languages and cultures is to explore how your own language and culture have been influenced by other cultures. To help you do this, take a few minutes and discuss in Spanish (1-2 paragraphs) aspects your culture has borrowed from Spanish culture or influences of Spanish speaking culture in your own. (For example, you might write about the influence of Latin cuisine, music and dance on lifestyle, and practices in the U.S.). what's the difference between budding and binary fission in reproduction of organisms Please help ASAP!! Due MiDniGhT! Are the ratios 1:2 and 14:18 equivalent? In Frankenstein Mary Shelley writes: A human being in perfection ought always to preserve a calm and peaceful mind,and never to allow passion or a transitory desire to disturb his tranquility. I do not think that the pursuit of knowledge is an exception to this rule. If the study to which you apply yourself has a tendency to weaken your affections, and to destroy your taste for those simple pleasures in which no alloy can possibly mix, then that study is certainly unlawful, that is to say, not befitting the human mind. (1831)In a well-organized essay, take a position on Shelleys assertion about the impact ofknowledge, based on your reading, experiences and observations.Can someone answer this question please at least two paragraph like right now cause I have to turn this in please On a number line, the coordinate of X is 52, the coordinate of Yis 121, the coordinate of Zis-21 and the coordinate of Wis 25.Is XY = ZW? Explain your reasoning. A ball of mass 0.2 kg is dropped from a height of 10 m. How much mechanical energy does it have right before it hits the ground? (Assume there is no air resistance.) Acceleration due to gravity is g = 9.8 m/s2.Group of answer choices0 J10.0 J19.6 J25.4 J Josie runs 3 miles and burns 252 calories. How many calories does she burn in 1 mile?J HELPP PLZ What is the final temperature of a 5.0g sample of water at 25C If 832 joules of heat are added? Por qu se sorprenden los espaoles con la cultura tana?Porque la sociedad es tan compleja.Porque los tanos practican la religin catlica.Porque los espaoles no conocen la pelota.Porque los tanos usan palabras del idioma espaol. You have already learned about the importance of white balance and how it forms an essential part of giving a photograph a natural look. You will now use this knowledge in a real-world scenario. You have been assigned to do wedding photography. Describe how you will adjust the white balance inside the church and outside in the garden.This is how it will be graded, please try to get all the points...1. Identifying the light sources indoor and outdoor- 10 points2. Explaining how the color of the image will differ indoors and outdoors- 10 points3. Identifying the correct white balance modes that have to be used based on various lighting conditions- 20 points -6x-2y=9 what is the slope Which power of 10 is equal to 1,000,000? Explain the "Plantation System"? Solve the absolute value equation.(2x 1) = 15 On January 1, you plan to take a trip around the world upon graduation four years from now. Your grandmother wants to deposit sufficient funds for this trip in an investment account for you. On the basis of a budget, you estimate that the trip currently would cost $15,000. Being the generous and sweet lady she is, your grandmother decided to deposit $3,500 in the fund at the end of each of the next four years, starting on December 31, 2018. The account will earn 6 percent annual interest, which will be added to the account at each year-end.Required:How much interest revenue did the fund earn in 2015, 2016, 2017, and 2018? What is the subject of this sentence?Two kittens tumbled over the shoes as they played.shoesthey playedtwo kittenstumbled Someone please help..