Not good with factoring could use a hand.

Not Good With Factoring Could Use A Hand.

Answers

Answer 1

The only factoring you need to do is already done for you:

x² + x - 12 = (x + 4) (x - 3)

What you're asked to do is decompose

(3x - 4) / (x² + x - 12)

into partial fractions, i.e. find a and b such that

(3x - 4) / (x² + x - 12) = a / (x + 4) + b / (x - 3)

Multiply both sides by x² + x - 12 :

3x - 4 = a (x - 3) + b (x + 4)

3x - 4 = (a + b) x + (-3a + 4b)

So we have

a + b = 3

-3a + 4b = -4

and solving this system gives

a = 16/7 and b = 5/7

so you should submit the numbers in bold:

(3x - 4) / (x² + x - 12) = 16 / (7 (x + 4)) + 5 / (7 (x - 3))


Related Questions

Carla can roll 18 pretzels in 12 minutes. How many can she roll in 40 minutes?

Answers

Answer: 60

Step-by-step explanation:

To find how much she rolls in 1 minute, you divide 18 by 12. This gets you 1.5. Multiply 1.5 by 40 and you get 60.

THE DOTS SHOWN REPRESENT WHAT KIND OF SEQUENCE?
D is for difference
R is for ratio
Arithmetic is Adding
Geometrical is Multiplying

Answers

The dots are getting bigger so i would say the third or last option.

please help asap , explain how you got the answer .

Answers

Answer:

f(x)= -2/5x-4

Step-by-step explanation:

-2/5 is the slope and -4 is the y intercept

Help will give brainlist!
If correct. Thanks!

Answers

Answer:

B y=0.5x-1

Step-by-step explanation:

Answer:

Y=-1/2x-1

Step-by-step explanation:

The slope is found using rise/run

Y-int can be found on the graph

Leo gathered data about the weight, in pounds of his suitcase when it was packed for trips lasting different numbers of nights. the data he gathered is organized in the table. (PLEASE ANSWER FOR REAL!!! NO BS LIKE RANDOM LETTERS OR IDK!)

Nights (x) 2, 3, 4, 5, 6
Weight (y) 17, 22, 26, 30, 35​

Answers

Answer:

y=4.4x+8.4

Step-by-step explanation:

Help plsssssssssssss???

Answers

Answer:

Go 6 units to the right and then 8 units up.

Answer:

so Go 6 units to the right and then 8 units up. and then you should get your point on the graph id apreciate brainliest

Step-by-step explanation:

these are two different questions

Answers

Hi sorry I don’t know how to do that but can u tell me how do add 2 picks in a question

Please help me on this

Answers

Answer:

a: -1,-1

b: 2,3

c:6,7

d: 5, 7

Step-by-step explanation:

Answer:

A -1,-1

B 2,3

C 6,7

D 5,-3

Step-by-step explanation:

You have to plug in each plotted point into the formula that was given to you.

Ex - A is plotted point is (-4,-3) so you plug in (-4+3,-3+2) which will give you (-1,-1)

(THIS IS A TEST I NEED HELP)
In the rectangular prism, PQ is the diagonal. Find the length of
PQ given PR = 7, RS = 4, and QS = 4.
A 4
B 9
C 12
D 15

Answers

Answer:

Option (B)

Step-by-step explanation:

Length of PR = 4

RS = 4

QS = 4

For the length of PT,

PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

PT² = 65

Now for the length of PQ,

PQ² = QT² + PT²

PQ² = RS² + PT² [Since, QT ≅ RS]

PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

A bag contains 12 red marbles the ratio of red marbles to blue marbles is 4:3 find the number of blue marbles in the bag

Answers

Answer:

9

Step-by-step explanation:

this can be written as an equation.

12/x=4/3

and it is just easy now, you see what you multiply 4 by to get 12 and it is 3, so that means you have to multiply 3 by 3

3 times 3 is 9, so the answer is 9

Answer:

Hello There!!

Step-by-step explanation:

First look at the ratios the red marbles ratio is 4 and the blue marbles ratio is 3.

You already know that there are 12 ratios in the bag so 12÷4=3(1 ratio equals 3 marbles)

Therefore,3×3=9.So the answer is 9 blue marbles.

hope this helps,have a great day!!

~Pinky~

Answer the two following question and will mark Brainliest

Answers

Answer:

Max: (-2,5)

Min: (-6,-4)

Answer:

(-2, 5) for the max and (-6, -4) is the min. That if the question is talking about max and min graph points!

Step-by-step explanation:

Hope it helps!

Which statements describe a characteristic of a right pentagonal pyramid? Select two options.
The bases are parallel and congruent.
The segment from the top to the center of the base is perpendicular to the base.
All the faces are congruent pentagons.
The base is a pentagon and the sides are triangles.
The base must be a regular polygon.

Answers

Answer:

B and D are correct

Step-by-step explanation:

The options:

A. The bases are parallel and congruent.

Incorrect. There are no parallel bases in any pyramid

B. The segment from the top to the center of the base is perpendicular to the base.

Correct as its a right pyramid

C. All the faces are congruent pentagons.

Incorrect. Only the base is pentagon.

D. The base is a pentagon and the sides are triangles.

Correct

E. The base must be a regular polygon.

Incorrect. It is pentagon.

Answer:

2 and 4

Step-by-step explanation:

edge 2021

5d-3+2d=4d+9. I need help can you help me solve this problem

Answers

Answer:

D=4

Step-by-step explanation:

Answer:

d=4

Step-by-step explanation:

5d - 3 +2d = 4d +9

7d-3=4d+9

-4d    -4d

3d-3=9

     +3   +3

3d=12

divide both sides by 3

d=4

the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?​

Answers

Answer:

ratio 4x:3x

total= 7x parts = 35(given)

x= 35/7 =5

boys = 4x = 20

girls = 3x = 15

The number of boys are more by 20-15 = 5.

Step-by-step explanation:

Answer:

20 boys 20:15

Step-by-step explanation:

helpful??

Rewrite the equation C = 2nr to show the expression that can be used to find the value of r.

Answers

The process is:

C = 2nr

2nr = c

r (2n) = c

[tex]r = \frac{c}{2n} [/tex]

That's the answer☝️☝️☝️☝️

or maybe this one

r = 2n + c

sorry, I'm unsure, it has been too long since I studied that...

Answer:

C = 2nr

you divide by 2n both sides

that means C/2n = 2nr/2n

after that you simplify then it will be C/2n = r

r = C/2n


Are the two triangles similar?

Answers

Answer:

No, they are not.

Step-by-step explanation:

Miguel places his 13-foot ladder 5 feet from the edge of his house. How high does the ladder reach? A. 8 feet B. 12 feet C. 13.9 feet D. 144 feet E. 194 feet

Answers

Answer:

A - eight feet

Step-by-step explanation:

20 character rule can be dumb sometimes

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. The height of the house is 12 feet, then the correct option is B.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Miguel places his 13-foot ladder 5 feet from the edge of his house.

Then the height of the house is given by the Pythagoras theorem.

P² = H² - B²

P² = 13² - 5²

P² = 169 - 25

P² = 144

P = 12

Then the height of the house is 12 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

After a 5% discount, a car is on sale for $11,400. What was the price of the car before the discount?

Answers

Answer:

$11,970 is the price of the car before the discount

Step-by-step explanation:

HELPP! I need an explanation an answer quicck

Answers

Answer:

C. -1,-2

Step-by-step explanation:

the answer is -1 , -2

Help Plz 10pts will be given

Answers

Answer:

Is the first one 3 over 7

Step-by-step explanation:

e owner of a skatepark wants to increase her entry fee of $5 Buy in increments of $0.50 currently the skate park has an average of 500 paying customers per week the equation (500 - 25x)( $5 + $0.50x) give me the estimated weekly income where X is the number of $0.50 entry fee price increases if the entry fee is increased to $7.50 what will be the expected average number of paying customers each week

Answers

Answer:

375 paying customers

Step-by-step explanation:

First you need to find how much the fee was increased from $5.00 to $7.50

7.5 - 5 = 2.5

Then how many times the pay increase goes into that number to find your X value

2.5/.5 = 5

Now that we have found our x value lets plug it into the equation to find the money the park will make in increments of 1

500 - 25(1) = 475

500 - 25(2) = 450

500 - 25(3) = 425

500 - 25(4) = 400

500 - 25 (5) = 375

Answer:

375

Step-by-step explanation:


Calcium-41 is being used in studies testing the effectiveness of drugs for preventing osteoporosis. The half-life of calcium-41 is 100,000 years. If 20 grams of calcium-41 are present initially, how long would it take until only 2 grams
remains?​

Answers

Answer:

332,193 years

Step-by-step explanation:

From the question above, we are to calculate the time in an half life question, hence, the formula is given as

t = In(Nt/No) ÷ -(In2/t½)

Where

t = time is takes for an substance to decay or reduce

Nt = Amount of sample after time = 2g

No = Initial amount of sample = 20g

t½ = Half life = 100,000 years

Hence,

t = In(2/20) ÷ (In 2/ 100,000)

t = 332192.80948874 years

Approximately = 332,193 years

Solve by using substitution. Express your answer as an ordered pair.

Answers

Answer:

(1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

4x + y = 2

y = x - 3

Step 2: Solve for x

Substitution

Substitute in y:                    4x + (x - 3) = 2Combine like terms:           5x - 3 = 2Isolate x term:                     5x = 5Isolate x:                              x = 1

Step 3: Solve for y

Define equation:                    y = x - 3Substitute in x:                       y = 1 - 3Subtract:                                 y = -2
(1,-2) is the ordered pair

please help i’ll give brainliest please tysm :))

Answers

Answer:

Grape juice has 180 containers.

Step-by-step explanation:

Given that the ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices.

i.e.

Orange Juice containers : Grape Juice containers = 5 : 4

Total containers = 405

It means if we divide 405 by 9, we get the 9 equal parts of 45.

i.e. 405 / 9 = 45

as

Orange Juice containers : Grape Juice containers = 5 : 4

It means the share of Grape Juice containers is 4 parts out of 9 parts.

Thus, multiply 45 by 4 to determine the number of containers grape juice have:

45 × 4 =  180 containers

Therefore, grape juice has 180 containers.

add 2f+5g+7h and 3f+6g+8h

Answers

5f+11g+15h



Explanation:

2f+5g+7h+3f+6g+8h

You just combine the like terms
5f+11g+15h

Answer:

Step-by-step explanation:

Add the like terms

5f+11g+15h

Which equation is not linear

A. -4x + 2y =7
B. x/4 =y
C. X=-5
D. 2/x + 3/y

[ that's / not a division it's a fraction bar]

Answers

The answer to this question is C.X=-5

Identify the constant of proportionality.

Answers

Answer:

14

Step-by-step explanation:

If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!

A fundraiser is being held to support a local nonprofit organization. Admission costs $10, and each raffle ticket costs $3. There are no other possible costs. If an event-goer pays the admission fee and buys x number of tickets, what type of function should be used to model the total amount spent by the event-goer at the event?

Answers

Answer:

y= 10+ 3x

10 is the admission fee

3x is the cost for each ticket

y is the total

The function for the total cost (y) spent by the event-goer at the event is

y = 3x+10

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, Admission costs $10, and each raffle ticket costs $3. There are no other possible costs.

Let the total cost be y,

Therefore, establishing the function, for x number of tickets.

y = 3x+10

Hence, the required function is y = 3x+10

For more references on function, click;

https://brainly.com/question/21145944

#SPJ6

PLEASE HELP!!
What is the slope for runner 1 and runner 2 ?

Answers

I don’t about 2 but the slope for 1 is 2

Kaylee put $240.00 in a bank account that gains 25%
interest annually.
How much interest will be accumulated in a year?
S???
If Kaylee makes no withdrawals, how much money will be
in the account after a year?
$???

Answers

Answer:

S=720

Step-by-step explanation:

25$ of 240 =60

60×12months=720

Other Questions
Please I need help on this anyone helooooooooooooooooooooooooooo In Islam, what provides a moral or ethical example for Muslims to follow? What is the unit rate of 92 dollars for 2 video games Find the sum. Write your answer as a decimal. -5.74 + 5.5 = Use the Internet to research HIPAA. Describe its goals in two to three paragraphs. what number line shows the solution of -5x + 10 > -15 In which quadrant does the point S(-3, -4) lie?quadrant Iquadrant IIquadrant IIIquadrant IV Explain why Hurricane Harvey traveled from the east (Africa) towards the west (Florida) when our weather in Wisconsin starts in the west and travels east?PLEASE HELP! GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.Which of the following points represents the largest number?PMJH Solve for x given 16 = 2x + 2( 4+ x) Imagine these mfs rolling down a hill Okay, how 'bout another?Song Lyrics:"I know it feels like you are part of a dream!"You can fly, and fight wars without judgement!"You respawn, and your mistakes will reveal,"but you will always be searching for an answer!"Name that song, and the band! What is the chemical formula for zinc (II) phosphate? 9. The power of the government is divided between the legislative branch, executive branch, and the judicial branch. This is an example of______________? z= 77-27.8i what are the real and imaginary parts of z PLEASE HELP HELP HELP Please help me with 4-6 ASAP I will give 30 points In ancient Egypt, what role could a woman play in medicine? Which theme is best supported by the comparison in this passage from My Antonia? The daughters of Black Hawk merchants had a confident, unenquiring belief that they were refined, and that the country girls, who worked out, were not. The American farmers in our county were quite as hard-pressed as their neighbours from other countries. All alike had come to Nebraska with little capital and no knowledge of the soil they must subdue. All had borrowed money on their land. But no matter in what straits the Pennsylvanian or Virginian found himself, he would not let his daughters go out into service. Unless his girls could teach a country school, they sat at home in poverty. The Bohemian and Scandinavian girls could not get positions as teachers, because they had had no opportunity to learn the language. Determined to help in the struggle to clear the homestead from debt, they had no alternative but to go into service. Some of them, after they came to town, remained as serious and as discreet in behaviour as they had been when they ploughed and herded on their fathers farm. Others, like the three Bohemian Marys, tried to make up for the years of youth they had lost. But every one of them did what she had set out to do, and sent home those hard-earned dollars. The girls I knew were always helping to pay for ploughs and reapers, brood-sows, or steers to fatten. Life on the prairie builds strong, healthy people. America is a country built on business. Having a clear goal to help family leads people to succeed. A good father protects his daughters.