Factor the following polynomial x^2-9

Answers

Answer 1

Answer:

(x+3)(x-3)

Step-by-step explanation:

We know that [tex](a+b)(a-b)=a^2+b^2\\[/tex]

So, here we have x² and 9, which can be written as 3².

Therefore, we can have x=a and 3=b

So we get

(x+3)(x-3)

To check that we are correct, we can expand the brackets:

x²-3x+3x-9

=x²-9


Related Questions

Choose the scientific notation for 0.01.
O 1x 10-4
O 1x 103
O 1x 10-2
O 1x 101

Answers

I believe it’s the third one hope it helps

Answer:

1×10-2

Step-by-step explanation:

10-2 = 1÷100 =0.01×1 = 1× 10-2

I dont understand Analyze and solve percent problems

Answers

Answer:

okay, well, is there any link u wanna post for us to help u? maybe we can explain it?

Step-by-step explanation:

-7 over 1 3rd written as a fraction is

Answers

Answer: 22/3 I think

sorry if it’s wrong

Answer:

7 1/3

i hope this helps you can do it

What are the three major responsibilities of the county sheriff? (Site 1)

Answers

Answer:1. They make policies

2. They perform executive duties

3. They plan environmental and land use policy

Step-by-step explanation:

Answer:

To become rich

Step-by-step explanation:

I'm rich so

Which is an equation of the line through the origin and (3,4)? Please help
A. y = 4/3x
B. y = 3/4x
C. y = 4x
D. y = 3x

Answers

B is the answers………..

What are the solutions of the quadratic equation
4x2 - 8x – 12 = 0 ?
A) x = -1 and x = -3
B) x = -1 and x = 3
C) x = 1 and x = -3
D) x = 1 and x = 3

Answers

Answer:

Step-by-step explanation:

4x2 - 8x -12 = 0

divide through by 4

x2 - 2x - 3 = 0

x2 - 3x + x - 3 = 0

(x2 - 3x) + (x - 3) = 0

x(x - 3) + 1(x - 3) = 0

(x + 1) (x - 3) = 0

x + 1 = 0 and x - 3 = 0

x = -1 and x = 3

Answer:

B IS THE ANSWER

Step-by-step explanat

(22x2 -  8x) -  12  = 0

  4x2 - 8x - 12  =   4 • (x2 - 2x - 3)

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3    +    1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  1  

                    x2 - 3x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-3)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-3)

            Which is the desired factorization

4 • (x + 1) • (x - 3)  = 0

A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately  

 

Any solution of term = 0 solves product = 0 as well.

  Solve  :    x+1 = 0

Subtract  1  from both sides of the equation :  

                     x = -1

   Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

Answer fast, please!!

Answers

the answer is B!!!!

Choose the numbers to find the product shown by the model.

-

0.5 x ? = ?


Answers: (this one is for what it was multiplied by)



A) 0.01

B) 0.1

C) 1

D) 10


Answers to the question:


E) 0.005

F) 0.05

G)0.5

H)5

Answers

Answer: A  F D G

Step-by-step explanation:

Y=6x+13 x-intercept and y-intercept

Answers

Answer:

y int (0, 13)

x int (-13/6,0)

just make the x = 0 and solve to get y

same with the x make y =0 and solve

How many intervals are there in the hisogram in figure 1.4?

Answers

Answer: 5 to 20 intervals.

Step-by-step explanation:

Option B is the correct answer.

Distance between the lines 3x +4y =9 and 6x + 8y =15 is

Answers

ANSWER:

81

hope it helps you

can you BRAINLEST me

Answer:

0.3 units

Step-by-step explanation:

Given lines in standard form:

ax + by = c3x +4y =9 and 6x + 8y =15

We can see they have same slopes:

m = -3/4 and m = -6/8 = -3/4

The lines after simplification of the second one:

3x + 4y = 9 3x + 4y = 7.5

Since the lines are parallel, use the distance formula:

[tex]d= |c_1-c_2|/\sqrt{a^2+b^2}[/tex]

Substitute the values and find d:

[tex]d = |9-7.5|/\sqrt{3^2+4^2} = |1.5|/\sqrt{25} =1.5/5=0.3[/tex]

Given f(x) = 2x - 3, find f(8)
***EXPLANATION NEEDED***

Answers

Answer:

f(8) = 13

Step-by-step explanation:

Step 1: Plug in 8 for the value of x.

[tex]f(8) = 2(8) - 3[/tex]

Step 2: Multiply 2 by 8.

[tex]f(8) = 16 - 3[/tex]

Step 3: Subtract 3 from 16.

[tex]f(8) = 13[/tex]

Therefore, f(8) = 13.

Answer:

Step-by-step explanation:

Hi there!

Given;

f(x) = 2x - 3

To find: f(8)

Replace 8 in each place where there is "x" in f(x).

or, f(8) = 2*8 -3

           = 16-3

           = 13

Therefore, f(8) = 13.

Hope it helps!

Which of the following coordinate points have a y-value of 6? Select all that apply.

A) (3, 6)
B) (6, 5)
C) (8, 6)
D) (1, 6)

Answers

Answer

A, C, and D

Step-by-step explanation:

You are trying to find the y value in (x,y) form. Therefore, it has to be A, C, and D because they all have a 6 in the y value.

विपरीत अर्थवाले शब्द लिखिए ।

1. नदी २. इच्छा ३. आशा ४. अपकार​

Answers

Answer:

sorry I can't understand the word

Write the equation of the line parallel to y=6 that passes through the point (2, -3). Write your answer in slope-intercept form.

Answers

Answer:

Y=-3

You see y=-3 does pass through 2,3 and is also parallel to y=6

5(Y-1)=3(2Y-5)-(1-3Y)

Answers

Answer: =11/4

Step-by-step explanation:

Answer:

[tex]y = 2 \frac{3}{4} \\ [/tex]

Step-by-step explanation:

[tex]5(y - 1) = 3(2y - 5) - (1 - 3y) \\ 5y - 5 = 6y - 15 - 1 + 3y \\ 5y - 5 = 9y - 16 \\ 16 - 5 = 9y - 5y \\ 11 = 4y \\ \frac{11}{4} = y \\ 2 \frac{3}{4} = y \\ [/tex]

Guys please help this is making my brain hurt I will give brainliest btw

Answers

Answer:

in order from the top down

2,5,1,4,5

Alright so I will explain this as best as I can, in an image

Simplify the expression the square root of 4x^2/3y. Show your work.

Answers

Answer:

2x/3y

Step-by-step explanation:

√4x^2/3y

√4√x^2/3y

2x/3y

the nth term of a sequence is n(n-8)÷√n+3
find the 1st and 6th terms

Answers

Answer:

-4 and -2✓6+3

Step-by-step explanation:

use pemdas

1(1-8)÷✓1 + 3

-7÷1+3

-4

6(6-8)÷✓6+3

-12÷✓6+3

multiply fraction by ✓6 on bottom and top to get rid of square root on bottom

-12✓6÷6+3

divide -12 by 6 and put radical next to it

-2✓6+3

A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is estimated that 750 bikes will be sold. a) Determine a linear function (equation) that predicts the number of bikes that will be sold each month at any given price. b) Use your equation from question a to predict how many bikes will be sold at $350.

Answers

Answer:

A is the answer

trust me

here is your answer and please follow me and Mark me As brain list

A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is estimated that 750 bikes will be sold.

a) Determine a linear function (equation) that predicts the number of bikes that will be sold each month at any given price.

b) Use your equation from question a to predict how many bikes will be sold at $350.

Step-by-step explanation:

Option A os Correct

A store buys 10 shirts at a whole sale price of $5 each. They want to mark up the
price by 50%. How much do they sell each t-shirt for?
$100
$7.50
$55
$5.50
PLS I NEED HELPPP

Answers

Answer:

the answer is 5.50 or the last one

Step-by-step explanation:

hope this helps

Answer:

answer is $7.5

Step-by-step explanation:

1shirt=$5

10 shirt= ?

10*5= $50

$5= 100%

what about 150%

(5*150)÷100= $7.5

Complete the square to rewrite y = x^2 - 6x + 16 in vertex form. Then state wether the vertex is a maxium or minimum and give its coordinates.

A. Maximum at (3,7)
B. Maximum at (-3,7)
C. Minimum at (3,7)
D. Minimum at (-3,7)

will give brainly!!’

Answers

Answer:

C) Minimum at (3,7)

Step-by-step explanation:

Recall that vertex form is [tex]y=a(x-h)^2+k[/tex]:

[tex]y=x^2-6x+16[/tex]

[tex]y=(x^2-6x+9)+7[/tex]

[tex]y=(x-3)^2+7[/tex]

Therefore, the vertex is [tex](h,k)[/tex] or [tex](3,7)[/tex] in this case. Because the parabola is positive, then the vertex has to be the minimum of the parabola, making choice C correct.

x = - 23
y = - 5
z = - 10
[tex](x-12)/ (y+z)\\[/tex]

Answers

i had to do the answer as a pic cuz my iPad is gonna die.

sorry <:)

Answer:

7/3

Step-by-step explanation:

x = - 23

y = - 5

z = - 10

(x - 12)/(y+z)=

(-23 - 12)/(-5-10)=

45/15=

7/3

A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 72 square feet. Find the length of the rectangle.

Answers

Answer:

9 ft

Step-by-step explanation:

Atea = length* width

what two numbers multiply to 72 but are one number apart

9 * 8

9 is the length since the width is given as being shorter.

other numbers can multiply to 72 but they are not one number apart.

Answer:

9ft

Step-by-step explanation:

Which of the following algebraic expressions will translate “the sum of eight and twice w”?

A: 8 + w
B: 2(8) + w
C: 8 = 2w
D: None of these choices are correct.

Answers

d

8+2x is the correct answer

None of them have a great day

Plz help me
I will thank you

Answers

Answer:  89674 buckets were produced in 4 months

Answer:

Step-by-step explanation:

First you have to do 5263 / 7 = 751.9 (rounded 751.857143)

Then do 751.9x121.6= 91 431

You get 121.6 because that is how many days are in 4 months.

Hope this helps !!!!

Have a good day/night!!<333

Please answer. Don't spam!​

Answers

Hello Gumiho!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Find the distance.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Refer to the attached picture for the steps.

Answer :- The answer will be (c) [tex]\boxed{\boxed{\tt\sqrt{a^{2} + b^{2}}}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Match the following items.


Determine the functions if θ is a first-quadrant angle, and sin = .


1. cosθ √(15)/5

2. tanθ √(10)/2

3. cscθ √(15)/3

4. secθ √6/3

5. cotθ √6/2

Answers

The functions are illustrations of trigonometry ratios

[tex]\mathbf{(a)\ cos\theta = \frac{\sqrt{15}}{5}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - cos^2\theta}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (\sqrt{15}/5)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{1 - (15/25)}}[/tex]

Take LCM

[tex]\mathbf{sin\theta = \sqrt{\frac{10}{25}}}[/tex]

[tex]\mathbf{sin\theta = \frac{\sqrt{10}}{5}}[/tex]

[tex]\mathbf{(b)\ tan\theta = \frac{\sqrt{10}}{2}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{10})^2 + 2^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 10 + 4}[/tex]

[tex]\mathbf{Hypotenuse^2 = 14}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{14}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{\sqrt{14}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{140}}{14}}[/tex]

[tex]\mathbf{(c)\ csc\theta = \frac{\sqrt{15}}{3}}[/tex]

The sine of the angles is:

[tex]\mathbf{sin \theta = \frac{1}{csc\theta}}[/tex]

So, we have:

[tex]\mathbf{sin \theta = \frac{1}{\sqrt{15}/3}}[/tex]

[tex]\mathbf{sin \theta = \frac{3}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{sin \theta = \frac{3\sqrt{15}}{15}}[/tex]

[tex]\mathbf{sin \theta = \frac{\sqrt{15}}{5}}[/tex]

[tex]\mathbf{(d)\ sec\theta =\frac{\sqrt 6}{3}}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - (1/sec\theta)^2}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (3/\sqrt 6)^2}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{(1 - 9/6)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{( - 3/6)}}[/tex]

The sine of the angle does not have a real value

[tex]\mathbf{(e)\ cot\theta = \frac{\sqrt 6}{2}}[/tex]

Start by calculating the tangent of the angle

[tex]\mathbf{tan\theta = \frac{1}{cot\theta}}[/tex]

So, we have:

[tex]\mathbf{tan\theta = \frac{1}{\sqrt 6/2}}[/tex]

[tex]\mathbf{tan\theta = \frac{2}{\sqrt 6}}[/tex]

Rationalize

[tex]\mathbf{tan\theta = \frac{2\sqrt 6}{6}}[/tex]

[tex]\mathbf{tan\theta = \frac{\sqrt 6}{3}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{6})^2 + 3^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 6 + 9}[/tex]

[tex]\mathbf{Hypotenuse^2 = 15}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{15}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{6}}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{90}}{15}}[/tex]

Rewrite as:

[tex]\mathbf{\ sin\theta = \frac{3\sqrt{10}}{15}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{5}}[/tex]

Read more about trigonometry ratios at:

https://brainly.com/question/24888715

In 3 years Xavier will be 3 times older than Joanne is today. Joanne is 24. How old is Xavier?

Answers

Answer: he is currently 69 years old

Step-by-step explanation:

24x3=72-3=69 lol funni number

Answer:

78 years old

Step-by-step explanation:

In 3 years Joanne will be 27. Xavier is 3 times that age by the time Joanne is 27. 27×3=81. but we're looking for Xaviers age today. so we take 81 and subtract 3 which leaves us with 78

Aashi buys
2 packets of bread rolls costing £1.40 for each packet
1 bottle of ketchup costing £1.80
3 packets of sausages
Aashi pays with a £10 note.
She gets 45p change.
Work out the price in pounds (£) of one pack of sausages.

(you will get brainliest) !! :D

Answers

Bread rolls = BR
Ketchup = K
Sausages = S

2BR +1K + 3S = £10 - 45p
2BR + 1K + 3S = £9.55

2BR = 1.40 x 2 = £2.80
1K = £1.80

£2.80 + £1.80 + 3S = £9.55
3S = £9.55 - £2.80 - £1.80
3S = £4.95
£4.95 / 3 = BR
S = £1.65

The answer is £1.65 for one pack of sausages

Price of one unit Sausage =  1.65

Sum ( Price x Quantity) = Total Expenditure  

Price of Bread x Quantity of Bread + Price of Ketchup x Quantity of Ketchup + Price of Sausage x Quantity of Sausage

Total Expenditure Value = 10 - 0.45  = 9.55

Let price of sausage = P

Therefore, 2 (1.40) + 1 (1.80) + 3 P = 9.55

2.80 + 1.80 + 3 Ps = 9.55

4.6 + 3 P = 9.55

3P = 9.55 - 4.60 =  4.95

P = 4.95 / 3 = 1.65

To learn more, refer https://brainly.com/question/16910784?referrer=searchResults

Other Questions
Triangle ADF and Triangle BCE are similar right triangles. Which proportion can be used to show that the slope of AD is equal to the slope of BC? Read the letter from Pablo and then answer the question based on what you read.Mircoles, 19 de agostoSaludos Mario!Cmo ests amigo? Cmo est tu familia en Caracas? Mi familia y yo ya estamos en nuestra nueva casa en Malabo y me gusta mucho mi nueva escuela. Mi da comienza con un buen desayuno y todas las maanas pongo mis libros y mis cuadernos en mi mochila. A veces, cuando hace fro, mi mam pone mi chaqueta en mi mochila tambin. Siempre traigo mi celular y mis llaves en la bolsa. Las clases empiezan a las siete de la maana y terminan a las dos. Me encantan mis clases este ao! Tengo seis clases; geometra, ingls, historia, educacin fsica, civismo, y arte. La clase de arte es muy fcil pero mi clase favorita es la clase de ingls porque es un poco difcil pero muy interesante. Leemos, hablamos, escribimos y escuchamos msica en ingls. Siempre pregunto cuando no comprendo algo y mis amigos y yo estudiamos todos los das despus de la escuela. Mi amigo Carlos es de Madrid y es muy trabajador. Mi amiga Luisa es de Buenos Aires y ella tambin trabaja mucho. Mi profesora favorita es la profesora de matemticas porque ella es muy divertida y aprendo mucho. Quiero seguir con esta carta, pero si sigo no puedo dormir temprano. Te pido una respuesta pronto.Atentamente, PabloWhat statement is true based on the reading?A. Pablo likes his Math class because it is easy.B. Pablos Art class is boring.C. Pablos P.E. class is boring but easy.D. Pablos English class is challenging but engaging. two complementary angles are in a ration of 2 3 find the measure of each angle my sleep is important leep is important because it helps me to stay focused, and improve conc demically. It also helps to recharge my brain and my body after a day ra good night sleep in the morning i'm in a good mood and able to ncentrate on what i have to do for the day. My sleep also helps to bo tem. I try to get six to seven hours of sleep at night. punctuate this paragraph for me According to the figure, is this population more likely to grow slowly or quickly in the next 10 years Yo_____ paco a Elena. Complete the square:x2 - 6x + 9=-13+ blank Pls help me pls I want to do topic number 3 Which answer best completes the analogy? chick: fuzzy :: *water: wetO joke: laughterjoy: awe What is cos(45)?451Cos (459) = VI?[]COS=Hint: Remember to rationalize the denominator. 9. Diamonds are used for wedding rings and Can someone help me and explain this to me step by step? Help please ill mark brainliest! find the length of x rounded to nearest hundredth please!! what is the difference between cleaning and sanatizing NO LINKS OR ASSESSMENT!!!! What is the angle between adjacent sp hybrid orbitals? which of the four panhellenic games is the oldest? In treasure Island Jim says that as he and the doctor were walking, "the wind brought us a noise between shrieking and singing. It was only a snatch that reached our ear..." What was this "snatch" of sound? Answer choice B is incorrect