factor -45x^3-60x^2-20x

Answers

Answer 1

Answer:

-5x(3x+2)²

Step-by-step explanation:

Factoring the given expression:

-45x³ - 60x² - 20x = -5x(9x² + 12x + 4) = -5x(9x² + 6x + 6x + 4) = -5x(3x(3x + 2) + 2(3x + 2))-5x(3x + 2)(3x + 2) or -5x(3x+2)²
Answer 2

Answer:

−5x(3x+2)^2

Step-by-step explanation:

-45x^3-60x^2-20x

Factor out 5.

5(−9x^3-12x^2-4x)

Consider −9x^3-12x^2-4x. Factor out x.

x(−9x^2−12x−4)

Consider −9x^2−12x−4 Factor the expression by grouping. First, the expression needs to be rewritten as −9x^2+ax+bx−4. To find a and b, set up a system to be solved.

a+b=−12

ab=−9(−4)=36

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 36.

−1,−36

−2,−18

−3,−12

−4,−9

−6,−6

Calculate the sum for each pair.

−1−36=−37

−2−18=−20

−3−12=−15

−4−9=−13

−6−6=−12

The solution is the pair that gives sum −12.

a=−6

b=−6

Rewrite −9x^2−12x−4 as (−9x^2−6x)+(−6x−4).

(−9x^2−6x)+(−6x−4)

Factor out −3x in the first and −2 in the second group.

−3x(3x+2)−2(3x+2)

Factor out the common term 3x+2 by using distributive property.

(3x+2)(−3x−2)

Rewrite the complete factored expression.

5x(3x+2)(−3x−2)


Related Questions

How do i measure the circumference of a circle?

Answers

Answer:

C=2 x pi x radius

Step-by-step explanation:

this is the formula

Step-by-step explanation:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

C = 2πr

Most of the time, you can leave you answer in terms of pi (Ex: 2π), insteqad of actually multiplying it by pi.

Does this help?

Divide.
Your answer should give the quotient and the remainder.
Quotient:

Remainder:
Tendou-san Look what I found ^^

Answers

Answer:

Why do you talk with the other people so much???

Step-by-step explaWnation:

y e s . c a k e . y e s .

Answers

Answer:

30 cakes per hour

Step-by-step explanation:

Basically you just find the slope:

[tex]\frac{y2-y1}{x2-21} \\\\\frac{60 - 30}{2-1} \\\\\frac{30}{1}[/tex]

also, yes. cake. *insert emoji with sunglasses here*

Answer:

The answer is 30

have a good day :)

Step-by-step explanation:

Find the inverse of the function f(x) = -5x

Answers

Answer:

y=-1/5x

Step-by-step explanation:

y=-5x

x=-5y

y=x/-5

y=-1/5x

Pls help
Thanks have. A good day

Answers

Answer:

on 14th day

Step-by-step explanation:

...........

What do you need to do to solve the problem?
x/5= 8
O Multiply each side by 5
O Multiply each side by - 5
O Multiply each side by 1/5
O Multiply each side by - 1/5

Answers

Answer:

Multiply each side by 5

Step-by-step explanation:

Multiplying and dividing are opposite recipricols, so to undo one, we just to the other. If we multiply something by 5, it will get of the fraction where x is being divided by 5

Answer:

all the options are correct

What is the sum of 4 and its additive inverse?

Answers

Definition of Additive Inverse
If y is the additive inverse of x, then y = -x or vice versa. For example, the additive inverse of the positive number 4 is -4. That's because their sum is zero, or 4 + (-4) = 0. So, Additive Inverse of a number is the negative of that number.

The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0.

What is summation?

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.

Given the number 4.

The sign of the number 4 is positive.

An additive inverse is a number whose sign is opposite to the number.

For example, the additive inverse of -5 is 5, and 5 is -5.

So additive inverse of 4 will be -4.

Now sum of 4 and -4

4 + (-4) = 0

Hence "The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0".

For more information about summation

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What is the radius of the circle?

Answers

The radius of a circle is diameter divided by 2. 10cm divided by 2 is 5cm.

The radius of the circle is 5cm.

Answer:

5 cm

Step-by-step explanation:

To find the radius, divide the diameter by 2.

10/2 = 5

An electrician bought 120 feet of electrical wire and used 105 feet of it
What percent of the wire went unused?
A 15%
B 12.5%
C 8.75%
D 7%

Answers

Answer:

B. 12.5%

Step-by-step explanation:

Find how much was unused:

120 - 105

= 15

To find what percent this is, divide it by 120:

15/120

= 0.125

Multiply this by 100:

0.125(100)

= 12.5

So, 12.5% of the wire went unused

The correct answer is B. 12.5%




Fahima buys
2 packets of bread rolls costing £1.50 for each packet
1 bottle of ketchup costing £1.60
3 packets of sausages
Fahima pays with a £10 note.
She gets 30p change.
Fahima works out that one packet of sausages costs £2.30
Is Fahima right?
You must show how you get your answer.
?

Answers

Answer:

Fatima is wrong

Step-by-step explanation:

1.50*2=$3

ketchup=$1.60

3*2.30=$6.9

3+1.60+6.9=$11.5

so i dont think that fatima can pay it with just $10.

Ned needs to solve the division problem shown. 40 ÷ 8=​

Answers

Answer:

5

Step-by-step explanation:

40/8=5 memorize multiplication table

Answer: 5

Step-by-step explanation: sorry if it looks messed up=3

          0 5

   ----------------

8 /     40

         − 0  

-----------------------

       4     0

− 4 0

------------------------

   0

find domain and range of x²-9/x-3​

Answers

Answer:

Step-by-step explanation: hope this helps :)

DOMAIN: (-INFINITY,0)

RANGE:(-INIFINITY,INFINITY)

Given that = 3.14, calculate the circumference of the circle with radius 10cm.

Answers

62.8 cm is the answer
≈62.83cm

Using the circumference formula, we get that C=2(3.14)10=62.83

GENGUR
20. Gençlik ve Spor bakanlığının düzenlemiş
olduğu Gençlik Kamplarına bu yıl her ilden 16
öğrenci katılmıştır.
Torkiye'de 81 l bulunduğuna göre Gençlik
kamplarne katılan toplam Oğrenci sayısı kaçtır?​

Answers

Answer:

11 cevapppppppppppppp bb

(08.01)
Given the arithmetic sequence an = 4 + 8(n - 1), what is the domain for n? (1
point)
All integers
All integers where n > 1
All integers where n > 0
All integers where n > 1

Answers

D

N must be greater than one so it doesn’t equal zero when you subtract

HELP ASAP!!!!!! 34 ÷ (14 − 5) × 2

Answers

Answer:

B

Step-by-step explanation:

Answer:

14-5=9, then 34 / 9 x 2, 9x2=18, 34 / 18= 1.888888 orrrr 34 / 9= 3.7777 that x 2 = 7.55555554

y'all please answer this, i asked this two times already :(

A digital thermometer records the daily high and low temperatures. The high for the day was -5 C. The low was -12 C. What was the difference between the day's high and low temperature

Answers

Answer:

-7 C

Step-by-step explanation:

The difference between -5 C and -12 C is -7 C, since -12 - (-5) = -7

Answer:

7 degrees celsius

Step-by-step explanation:

because from -5 to -12 it is 7

1. Expresa cada función cuadrática f en la forma f(x)-yo = p(x – xo) x ϵ R, donde xo , yo , p ϵ R son elegidos apropiadamente. Indica las coordenadas
del vértice de la parábola, el mínimo o máximo de la función f, sobre todo R. Traza la gráfica de f.
a) f(x)= 2x2 + 3x -5, ϵ R,
b) f(x)= -3x2 + 7x +9, ϵ R,
c) f(x)= - x +1, ϵ R,


AYUDA LE DARE CORONA PLIS

Answers

Answer:

Step-by-step explanation:

1. Express each quadratic function f in the form f (x) -yo = p (x - xo) x ϵ R, where xo, i, p ϵ R are appropriately chosen. Indicate the coordinates

of the vertex of the parabola, the minimum or maximum of the function f, especially R. Draw the graph of f.

a) f (x) = 2x2 + 3x -5, ϵ R,

b) f (x) = -3x2 + 7x +9, ϵ R,

c) f (x) = - x +1, ϵ R,

HELP YOU GIVE YOU CORONA PLIS

Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay?​

Answers

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

= 4 people in total

Total Cost of pizza = $25.48

If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

= $25.48/4

= $6.37 per friend

Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them

Mari spends $6 on cheese for a party she also plans to buy b boxes of crackers that cost $3 per box

Answers

Answer:

The answer is 6+3b<or equal to 15

Step-by-step explanation:

A man invests 10000 for 3 years at a certain rate of interest, compounded annually. At the
end of one year, it amounts to 11200. Calculate :
(i) the rate of interest per annum;
(ii) the interest accrued in the second year;
(ii) the amount at the end of the third year.​

Answers

Step-by-step explanation:

10000, After 1 year amount = 11200 so interest after 1 year = 1200

Amount = P(1+R/100)T

11200 = 10000(1+R/100)1

R = 12%

Interest for the second year = 11200(1+12/100)1 - 11200 = 1344

after 3 years = 10000(1+12/100)3 = 14049.28

Step-by-step explanation:

(I) Principle = Rs 10000, After 1 year amount

= Rs 11200 so interest after 1 year

= Rs 1200

R = 12%

Amount = P(1+R/100)T

11200 = 10000(1+R/100)1

R = 12%——————————————————————————————————————

(Ii)Interest for second year = 11200(1+12/100)1 - 11200 = Rs 1344

(iii)Amount after 3 year = 10000(1+12/100)3 = Rs 14049.28

An Xbox has a retail price of $350. Best Buy is offering a 15% discount on the system. How much will the Xbox cost after the discount?

Answers

Answer:

About  297.50$

becuase since i actually have an xbox with that same discount i know the answer

Answer:

you will pay 297.50$

you are saving 52.50$

The camping trip costs $165. How long will it take you to save enough money?

25 Points I guess.

Answers

Answer:

11 weeks

Step-by-step explanation:

$165 / 15 = 11 weeks

11 weeks

Hope that helps!

The equation of line is given by y = 15x and the number of weeks to save enough money is 11 weeks

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of weeks be x

Let the cost of trip be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 60 )

Let the second point be Q ( 8 , 120 )

Now , the slope of the line between the two points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 120 - 60 ) / ( 8 - 4 )

On simplifying the equation , we get

Slope m = 60 / 4

Slope m = 15

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 15 ( x - 4 )

On simplifying the equation , we get

y - 60 = 15x - 60

Adding 60 on both sides of the equation , we get

y = 15x

Now , the cost of the camping trip is $ 165

Substitute the value of y = 165 , we get

165 = 15x

Divide by 15 on both sides of the equation , we get

x = 165/15

x = 11 weeks

Therefore , the value of x is 11 weeks

Hence , the equation is y = 15x

To learn more about equation of line click :

https://brainly.com/question/14200719

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Checking account earnings at Baker's Bank are expressed by the equation: I = -0.09x + 10.2.
While the earnings at Elite Bank are modeled by: I = -0.02% + 7.5.
In both cases, x is the number of checks written.
At what number of checks will Elite Bank start generating more checking account income than Baker's
Bank?
A. 12
B. 25
C. 39
D.42

Answers

ANSWER IS B

Hope i got this right

Answer:

The answer is C. 39

Step-by-step explanation:

HELPPPPPPPPPPPPPPP!! I WILL MARK YOU THE BRAINLIEST!!!! PLEASE IM REALLY STRUGGLING.

Answers

Answer:

b

Step-by-step explanation:

Will has 35 buttons. He puts 5 buttons on his backpack. How many
buttons does Will have left?

Answers

Answer: 30 buttons

35 - 5 = 30

Answer:

30

35-5=30

Step-by-step explanation:

WILL GUVE BRAINMIEST HURRY PLS

Answers

Answer:

pi= 3.14159

r= half of diameter , it is 4

h= 20

v= pi (4) ^2 (20)

Step-by-step explanation:

V=3.14x4 squared x20
502.4

Help Please :)
I'm not sure if I'm correct.

Answers

Answer:

You are correct!

PLEASE HELP, I’ll give brainliest to anyone who answers first!!!!

Answers

Answer:

opotion 2!

Step-by-step explanation:

Write the equation of the line that passes through each pair of points (-2,0) (-1,-3)

Answers

Answer:

y = − 3 x − 6

Step-by-step explanation:

I hope this helps you

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