Why would the polynomial, "[tex]x^2+5x-24[/tex]" factor out to (x-3)(x+8)?

Answers

Answer 1

Step-by-step explanation:

5x can also be written as " -3x + 8x " so:

[tex]x^2+5x-24 = x^2-3x+8x-24[/tex]

Using the distributive property:

[tex]x(x-3)+8(x-3)[/tex]

Then again, using the distributive property (but in reverse):

[tex](x-3)(x+8)[/tex]

The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.

For eg (because that was a bit text heavy):

The product of the last term and the first coefficient (1 * (-24)) is -24

the factors of -24 include (and their sum)

-1, 24 (23)

1, -24 (-23)

-2, 12 (10)

2, -12 (-10)

-3, 8 (5)

3, -8 (-5)

-4, 6 (2)

4, -6 (-2)

The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.


Related Questions

Margie, Eric, and Connor helped their band stuff envelopes for a fundraiser. Margie has stuffed 96 out of 144 envelopes. Eric has stuffed 62% of his envelopes. Connor has stuffed ¾ of his envelopes. If each student started with the same amount, who has the most envelopes left to stuff?

A. Margie
B. Eric
C. Connor

Answers

Its conner he stuffed the most helped 3/4 percent of the thing
The answer is a. Connor

help please wil give brainely

Answers

false :) The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since, , you can not form a triangle with side lengths 4 ft, 9 ft, 15 ft.

6) Evaluate 2xy - 5 , for x= -3 and y=4
Your answer

Answers

Answer:

answer = -29

Step-by-step explanation:

2*-3*4-5

Answer:

-29

Step-by-step explanation:

=2(-3)(4)-5

=-6(4)-5

=-24-5

=-29

Hope this helps.

If a cylinder has a height of 7 m and its base has a radius of 6 m, what is its volume? Use 3.14 for 5 and
round the answer to the nearest whole number.
O 490 m3
791 m3
923 m3
1,583 m3

Answers

Answer:

Step-by-step explanation:

Convert to an improper fraction: 4 3/5

Answers

Answer:

23/5

Step-by-step explanation:

multiply denominator by whole number. add the numberator. sum will now be your new numberator (denominator always stays the same).

hope this helps! (❁´◡`❁)

23/5 so ya hope that was righ

A mattress store is having a sale all mattresses are 30% of. Nate wants to know the sale price of a mattress that is regularly $1,000

Answers

Answer: $700

Step-by-step explanation:

The store is selling at 30% off.

If a mattress is $1,000, first find out what 30% of $1,000 is:

= 1,000 * 30%

= $300

The store is selling 30% off, this means that they are reducing the price by 30%:

= 1,000 - 300

= $700

What was the estimated population population of Rhode Island in 1760?

Answers

Answer:

D. 45,000

Hope this helps :)

Then find the values of x and y.

Answers

Answer:

y = 4

x = 104°

Step-by-step explanation:

3y = y + 8

-y -y

2y÷2 = 8÷2

2y÷2 cancels out so

8 ÷ 2 = 4

y = 4

all sides are congruent so all angles are congruent so that means that all the angles are 104°

Jack can fill buckets of water four times fast as his sister Jill. They have to fill 400 buckets of
water for their village located at the bottom of a hill. Working together, Jack and Jill can complete
the job in six hours.
30. How many hours will it take Jack if he works alone?

Answers

Answer:

1.5 hour

Step-by-step explanation:

You divide 6 by 4.

Answer:

7.2 hrs

Step-by-step explanation:

Jack does 4/5 of the work in 6 hrs. He still needs to do 1/5 more if he's doing it by himself. 1/5 of 6 = 1.2 and 1.2 + 6 = 7.2 hrs

the radius of a sphere with volume 288cm

Answers

Answer:

The radius (r) of a soccer ball with a volume of 288 cm3 is 6 cm.

Rushedfjfndnsnsns. Snsnsnxnxnnxnxnxncn

Misty wants to save money to purchase a new bicycle that cost $279 she opens a savings account and deposit $7 per week based on this information which of the following is a reasonable conclusion I need a sentence not a single number answer​

Answers

Answer:

please provide the choices of this question

PLEASE HELP WILL MARK BRAINLY

(ATTACHED)

Answers

Answer:

$3.60

282.6

80

576 in

175

45

3.12

31.7

10

36

9

36

-3,√3,3,3² and √3

1/4

√64

9

1.6

4x

1

3

Step-by-step explanation:

24*.15=3.6

200=2.5*speed

speed=80

1:1/12

x:48

576 in

35=.2*x

x=175

30*1.5=45

48*.065=3.12

.5*(2π*5)=15.7

15.7+6+10=31.7

24²+a²=26²

a²=100

a=10

Pretty sure it's just 36

Volume of a cylinder :πr²*h

10*3²*π=282.6

8:12

6:x

x=9

2x+3x=90

x=18

2*18=36

-3,√3,3,3²

1/2*1/2=1/4

√64=8

3x-12+x=24 ,

4x=36

x=9

12.5w=20

w=1.6

2xy*6x²=12x³y

12x³y/(3x²y)=4x

3²+(-2)³

9-8=1

-18-6= -24

-2-2-4= -8

-24/-8=3

Can someone plz help me plz I beg uuuu plz I will really appreciate it

Answers

x is equal to 45 because the whole thing is supposed to equal 180

Answer:

x=45

Step-by-step explanation:

(2x+10) + 30 + 50 = 180

2x+10+30+50 = 180

2x+90=180

2x=90

x-45

PLEASE HELP ASAP!! will mark brainlest!

Answers

Answer:

1. Axis of Symmetry: x=-4, Vertex: (-4, -6)

2. Axis of Symmetry: x=2, Vertex: (2, 8)

Step-by-step explanation:

final due today hurry please! Question Category: Comparing Functions
Select the correct answer.

The given table shows the number of customers, c(x), in a diner when the diner has been open for x minutes.

x 30 45 60 75 90 105
c(x) 40 48 50 48 40 30
Which statement is supported by the table?

The number of customers in the diner is increasing on the interval (30,60).
The maximum number of customers in the diner is 60.
The number of customers in the diner is increasing on the interval (75,105).
The maximum number of customers in the diner is 105.

Answers

The first statement is true Bc the number of customers are increasing between 30min and 60 min

The Max number would be 50 customers not 60. It would’ve been true if it changed it to max number of customers was at 60 mins

Answer: first answer

step-by-step explanation:

i got it right

Can someone help this

Answers

Answer:

Step-by-step explanation:

The common factor is the largest number that goes into both of those numbers evenly. We do this by finding the prime factorization of each:

25: 5,5

35: 5,7

The common number to both is 5, so 5 is the common factor of both the numerator and denominator.

The volume of a cone shaped object is approximately 27 pie ft^3 If the height of this cone is 9 ft, what is the radius of the base of the cone?

a. 2 ft

b. 9 ft

c. 3 ft,

d. 6 ft

Answers

the answer would be d

Answer:

is b

Step-by-step explanation:

find the surface area

Answers

Answer:

aww you had my question opennnn

Step-by-step explanation:

In a academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, school A starts with 165 points and gives the same number of correct and incorrect answers. School b starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the 2 schools as a tie

Answers

Answer:

20

Step-by-step explanation:

In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?

Let x = number correct answers

because school a , gives the same correct and wrong answers, their equation can be represented as :

165 - 5x + 12x =

165 + 7x

School b gives no wrong answer. their equation can be represented as

65 + 12x

to fing the number of correct answers given, equate the two equations

165 + 7x = 65 + 12x

collect like terms

165 - 65 = 12x - 7x

100 = 5x

x = 20

factorize:-
x³–3x²–9x–5
no links or spam answers please!​

Answers

Answer:

X³ – 3x² – 9x – 5

= x³ + x² – 4x² – 4x – 5x – 5

= x²( x + 1) – 4x ( x + 1) – 5(x + 1)

= (x + 1)(x² – 4x – 5)

= (x + 1)(x² -5x + x – 5)

= (x + 1)(x – 5) (x + 1)

hence, (x +1), (x -5) and (x +1) are the factors of given polynomial .

Was this answer helpful?

The souvenir stand sells the hats for $11.75 each , the postcards for $0.25 each , and the magnets for $3.50 each . Write an expression for the total amount of money they would take in if they sold all the items

Answers

Answer:

9.2h+50

Step-by-step explanation:

im not sure if this is correct and im only in middle school but i had this same quetsion and got that snwer

Sebastian bought 4 basketballs for $37.60 what is the rate price for per basketball?

Answers

each basketball should cost $9.40

Answer:

9.40$

Step-by-step explanation:

1. The area of a figure is 32 square centimeters.
Suppose the sides of the figure are doubled. What
will be the new area of the similar figure?

Answers

Answer:

128

Step-by-step explanation:

If the area of a figure is 32 square centimeters then the length/breadth could be 8cm and 4cm or 16cm and 2cm.

Let’s assume that the the sides of the figure are doubled, if that’s the case then we would arrive at 8*2 * 4*2 or 16*2 * 2*2 in which 16*8 or 32*4 which will both result to 128 as the answer.

I know this may seem annoying, but how did you get 13/3 and 4/4 from 3 1/4 and 3/4?

Answers

"A processing machine crushes 3 1/4 kilograms of dried fruits in 3/4 minutes.

What is the rate, in kilograms per minute, at which the machine crushes dried fruits?"

All you're doing here is finding the unit rate at which the machines crushes the fruit. This boils down to dividing the amount it can crush (3 + 1/4 kg) by the time it takes to do the crushing (3/4 min):

(3 + 1/4 kg) / (3/4 min)

We can omit the units, just remember everything is measured in kilograms per minute. So we want to simplify the expression,

(3 + 1/4) / (3/4)

Write the numerator as an improper fraction:

3 + 1/4 = 12/4 + 1/4 = 13/4

(since 12 = 3*4)

Then

(3 + 1/4) / (3/4) = (13/4) / (3/4)

Multiply this by 1 = 4/4. In other words, multiply both the numerator and denominator by 4. This eliminates the fractions in either part, and you get the answer:

(13/4) / (3/4) * 4/4 = (13/4 * 4) / (3/4 * 4) = 13/3

So in one minute, the machine can crush 13/3 kg ≈ 4.333 kg of dried fruit.

What is -61=8-1/3(12w+42)-w
If you don't know do not answer
MUST SHOW WORK!!!!!

Answers

Answer:

w = 11

Step-by-step explanation:

In photo

Please help me !!!!!

Answers

Answer:

1) 115

2) 83

3) 45

4) 137

Step-by-step explanation:

im sure you noticed i just rewrote what numbers were already there, but that's because all angles that are directly across from each other have the same measurement. hope this helps

plzzzzz help will mark brainliest

Answers

answer: -5.3’ Fahrenheit

What is the measure of angle U?

Answers

I think it’s A or D not sure. Hope I helped.

Plot the inequality x < 0​

Answers

Step-by-step explanation:

This is saying " Every number possible thats less than, but not 0" so you show that

6. A particle is moving on a straight line such that a(t) = cost, s(0) = 0, v(0) = 5.
Find the position s(t) of the particle.

Answers

Step-by-step explanation:

St3-623t+4St3-623t+4V=St3-623t+4V=dsSt3-623t+4V=dsdtSt3-623t+4V=dsdtSo 3t²12 + 3 = vSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sv=3(2)² - 12 x 2+3=-9ms-1
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