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

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

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

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

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

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

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

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.

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

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

Answer fast, please!!

Answers

the answer is B!!!!

-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

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

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:

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

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

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

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

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

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

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:

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!

विपरीत अर्थवाले शब्द लिखिए ।

1. नदी २. इच्छा ३. आशा ४. अपकार​

Answers

Answer:

sorry I can't understand the word

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

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:

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

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………..

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]

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.

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.
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