Which of the following is a factor of 9x^2-81?

x-27

3x-3

x-3

x-9

Answers

Answer 1

[tex]Hello[/tex] [tex]There![/tex]

I'll be helping your question today!

Let's do this step-by-step explanation!

[tex]9x^2-81[/tex]

Factor out common term 9: [tex]9(x^2-9)[/tex]

[tex]=9(x^2-9)[/tex]

Factor:[tex]x^2-9:(x+3)(x-3)[/tex]

[tex]=9(x+3)(x-3)[/tex]

Answer:

[tex]9(x+3)(x-3)[/tex]

The real answer is:

[tex]3x-3[/tex]

Hopefully, this helps you!!

#LearnWithBrainlyAlways~

[tex]SokkaBanned[/tex]

Answer 2

The factorization of [tex]9x^2 - 81[/tex] is given 9(x-3)(x+3). Therefore, (c) is the correct option.

Factorization is the method of simplification of algebraic expressions which contains variables and constants into form that can not be divided into further factors.

To factorize, we first check if any variable or constant can be taken common. Next we check for algebraic identities.

Given in the question,

[tex]= 9x^2 - 81\\\\= 9(x^2 - 9)\\\\=9(x^2-3^2)\\\\=9(x-3)(x+3)[/tex]

identity used : [tex](a^2-b^2) = (a-b)(a+b)[/tex]

Learn more about factorization here

https://brainly.com/question/34290719

#SPJ2


Related Questions

Factor completely 2x^2 + 4x - 2​

Answers

Answer:

if i were to factor this would be the solution

2(x^2+2x-1)

Determine the value of x in the diagram.
x
2x
2x

Answers

Answer:

x = 60

Step-by-step explanation:

The sum of exterior angles in a rectangle is equal to 360

so to find the value of x we need to use all given values and write an equation:

x + 2x + x + 2x = 360 add like terms

6x = 360 divide both sides by 6

x = 60

Solve for all values of x by factoring x2-8x-6=-6

Answers

Answer:

Step-by-step explanation:

2−8−6=−6x2−8x−6=−62−8−6−(−6)=0x2−8x−6−(−6)= 02Add the numbers3Use the quadratic formula3 more stepsSolution=8=0

Answer:

[tex]x=0,8[/tex]

Step-by-step explanation:

[tex]x^2-8x-6=-6[/tex] ( Cancel 6 from both sides)

[tex]x^2-8x=0[/tex] ( Factor out the common term x)

[tex]x(x-8)=0[/tex]

[tex]x=0\: or\:x-8=0[/tex]

let's solve the equations

[tex]x-8=0\\x-8+8=0+8\\x=8[/tex]

[tex]x=0[/tex]

Therefore, x=0,8

~

is -17/-40 equal to -0.425

Answers

[tex]\left[Hello,Dejanafryer23][/tex]

Answer:

No

Step-by-step explanation:

To Find if -17/-40 equal to -0.425...

We First have to turn -17/-40 into a decimal;

-17/-40 = 0.425 { Negative + Negative = Positive }

Thus,

0.425 > -0.425

Hence, Answer is -17/-40 is Not equal to -0.425

[RevyBreeze]

Someone pls help???????????????????????????????

Answers

Answer: 8 batches
*This is a measurement conversion and proportion equation*
——————————————————————
16 ounces /1 pound = x ounces /4 pounds
So… 4 pounds = 64 ounces
——————————————————————
1 batch/ 8 ounces = x batches/ 64 ounces
64 = 8x
8 = x

20 points!!!!!
Solve by using the zero product property to solve y = x^2-4x-21 for its zeroes?
Explain in a short paragraph.

Answers

Answer:

  x = -3 or 7

Step-by-step explanation:

The zero product property tells you a product will be zero if and only if a factor is zero. This property is used to find the zeros of polynomial functions by factoring them, then considering the variable values that make the factors zero. The zero of a monic linear binomial factor will be the opposite of the constant in that binomial.

__

The factored form of the given polynomial is ...

  y = (x -7)(x +3)

The values of x that make these factors zero are ...

  x -7 = 0   ⇒   x = 7

  x +3 = 0   ⇒   x = -3

The zeros of the polynomial function are x = -3, and x = 7.

The just skates sporting goods store advertises that all in-line skates are on sale for 20% off the regular price. Find the sale price of a pair of skates that cost $160

Answers

Answer: $32 is the discount

Step-by-step explanation: i got it right

Answer:

128. It will take away 32$ from 160

Step-by-step explanation:

20% of 160 is 32. 160 - 32 = 128 which will be the cost of the pair of skates.

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

B. The total amount of tweets...

E. NCAA basketball tournament

F. Butterfly population doubles each month

An exponential function is a function that grows exponentially.

Exponential functions have a multiplicative rate of change. This means each term can be multiplied by a specific number to get to the next.

Example of an exponential function:

1, 2, 4, 8, 16, 32, 64, 128, 256...

Knowing this, let's look at each example.

A.

The rocket grows at a rate of 45 m/s, but then goes back down. This is not an exponential function. This is most likely a quadratic function.

B.

Each term is being multiplied by 4. This is correct.

C.

This is too vague. We cannot determine what this is.

D.

This is a linear function. It has an additive rate of change; not a multiplicative one. This is wrong.

E.

Each term is 50% of the previous one. This is correct.

F.

The population is multiplied by 2 each month. This is correct.

Answer:

2, 5, 6

(tweets, basketball, butterfly)

Step-by-step explanation:

Rocket:  Quadratic function

Tweets: Exponential function  (quadruples each time)

Water Park:  Quadratic function (or absolute function)

Savings: Linear function (if simple interest)

**compound interest is exponential, but as it stops earning interest after the first year, it is not continually exponential**

Basketball:  Exponential function  (halves each round)

Butterfly:  Exponential function  (doubles each month)

hii the lateral surface area of a cube is 256 m cube . find the volume of the cube

Answers

Answer:

512cm3

Step-by-step explanation:

A lateral surface area of a cube is 256 m2. Find its volume.

A cube is a three-dimensional shape that is made up of 6 congruent square faces.

Answer: If the lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters.

The lateral area of a cube is the sum of areas of all side faces of the cube

Explanation:

The lateral surface area (LSA) of the cube = sum of areas of all 4 side faces.

Let the edge length of the cube be x.

LSA = x2 + x2 + x2 + x2 = 4x2

Given that, LSA of the cube is 256 m2

4x2 = 256

x2 = 256/4

x2 = 64

x = 8

Length of edge of the given cube is 8 m.

The volume of a cube is x3.

The volume of cube = x3 = 83 = 512 m3

Thus, the volume of the given cube is 512 m3.

The volume of the given cube is 512 m³.

What is volume of cube?

The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.

Given that, the lateral surface area of a cube is 256 m cube.

We know that, the formula to find lateral surface area of a cube is 4a², where a is edge of a cube

Now, 4a²=256

a²=64

a=8 m

The formula to find the volume of a cube is a³, where a is edge of a cube.

Thus, volume of a cube =8³ =512 m³

Therefore, the volume of a cube is 512 m³.

Learn more about the volume of a cube here:

https://brainly.com/question/11168779.

#SPJ2

Doctors recommend that teenagers sleep between 9 and 912 hours each night. Melody and Wilmer construct a box plot to display sleep data collected from two samples of students. Do these data support the petition to delay the school starting time so school starts 1 hour later? Explain

Answers

Answer:

Yes because I can see people very sleep-deprived and even if 7 hours is not enough, it's better than 6. For the people who sleep 9 and a half hours, they have 1 more hour to get ready. The median is 8 which most likely means, most of the students will be able to sleep the recommended amount with the extra hour.

Step-by-step explanation:

Leo invests $2,000 at an interest rate of 4%, compounded quarterly.
How much is the investment worth at the end of 3 years?

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2000\left(1+\frac{0.04}{4}\right)^{4\cdot 3}\implies A=2000(1.01)^{12}\implies A\approx 2253.65[/tex]

What is 4. 9 ft rounded to the nearest tenth of a cubic foot

Answers

i would want to say 10 i believe

the lengths of the sides of a triangle are in the extended ratio 7:8:9 the perimeter of the triangle is 96cm. what are the lengths of the sides?

Answers

Answer:

28 cm, 32cm , 36cm

Step-by-step explanation:

Given:

The lengths of the sides of a triangle are in the ratio 7:8:9Perimeter of triangle is 96cm

To Find:

The lengths of the sides of triangle?

Solution:

Let:

1st side = 7x 2nd side = 8x 3rd side = 9x

As, we know that,

Perimeter of Triangle = Sum of all sides

➝ 7x + 8x + 9x = 96cm

➝ 24x = 96cm

➮ x = 96/24

➮ x = 4

So, length of the sides are:

7x = 7 × 4 ➝ 28cm

8x = 8 × 4 ➝ 32cm

9x = 9 × 4 ➝ 36cm

Given :

The length of the sides of the triangle are in the ratio 7:8:9 .The Perimeter of the Triangle is 96 cm.

To Find :

The length of the sides of the triangle.

Solution :

Let us assume the sides be 7x cm, 8x cm and 9x cm.

We know,

[tex]\qquad{ \bold{ \pmb{Sum \: of \: all \: sides \: of \: the \: triangle = Perimeter_{(Triangle)}}}}

[/tex]

So, Substituting the values :

[tex]\qquad { \dashrightarrow{ \sf{7x + 8x + 9x = 96}}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{24x= 96}}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ \dfrac{24x}{24} = \dfrac{96}{24} }}}[/tex]

[tex]\qquad { \dashrightarrow{ \bf{ x = 4 }}}[/tex]

Therefore,

The length of the sides of the triangle are :

[tex]\qquad { \dashrightarrow{ \sf{ 7x \: cm= 7 \times 4 \: cm = \bf \: 28 \: cm }}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ 8x \: cm= 8 \times 4 \: cm = \bf \: 32 \: cm }}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ 9x \: cm= 9 \times 4 \: cm = \bf \: 36 \: cm }}}[/tex]

Pls help with this Find the circumference of the object. Use $3.14 or 22/7 for Pi. Round to the nearest hundredth if necessary.

Answers

Answer: Plese mark brainlest

the circumference is 12.56meters squared

Step-by-step explanation:

Factor 60-36w to identify the equivalent expressions

Answers

Answer:

12(5 - 3w)

Step-by-step explanation:

60 - 36w

The GCF of 60 and 36w is 12.

60 - 36w = 12(5 - 3w)

Two bicyclists are traveling along the same road. Bicyclist A's distance, d, from a certain town after h hours Given by the equation
d = 11.5h + 5
Bicyclist B's distance from the same town is shown in the graph .

Which THREE statements are TRUE?

A
B is traveling 1 mile per hour faster than A.

B
After 2 hours, A will have traveled a total of 28 miles.

С
B started from the town, while A started 5 miles from the town.

D
After 5 hours, the two bicyclists will be the same distance from the town.

E
When the two bicyclists reach the same point. A will have traveled 5 more miles than B.

Answers

The correct statement are statements B and C

Distance time graphs

Given the following equation for the distance of Bicyclist A expressed as:

d = 11.5h + 5

After 1 hour for A

d(1) = 11.5 + 5
d(1) = 16.5

For bicycle B, the distance traveled after 1 hour is 12.5 miles from the graph. Hence B is not traveling 1 mile per hour faster than A.

After 2 hours for A;

d(2) = 11.5(2) + 5

d(2) = 23 + 5 = 28 miles

Hence after 2 hours, A will have traveled a total of 28 miles.

From the graph, we can see that B started from the town (origin), and from the equation, A started from 5 miles from town (y-intercept is 5)

Hence the correct statement are statements B and C

Learn more on the distance-time graph here: https://brainly.com/question/13877898

Complete the steps to find the sum. What is the sum? –7g4 4g3 – 3g2 5g – 3 –4g4 – 3g3 4g2 5g 3 –4g4 4g2 14g – 6 –3g4 14g – 6.

Answers

The sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].

Given polynomials are:

[tex]1)g^2-4g^4+5g+9\\\\2)-3g^3+3g^2-6[/tex]

What is a polynomial?

A polynomial is an algebraic expression that constitutes monomials of the form ax^n where n is a whole number.

The sum of expressions is

[tex]g^2-4g^4+5g+9-3g^3+3g^2-6[/tex]

Now, add monomials having similar exponents, like if monomial is like [tex]g^2[/tex] add it with another monomial having a term [tex]g^2[/tex] and do the same for other monomials.

[tex]g^2 + 3g^2 -4g^4+5g-3g^3+9-6[/tex]

[tex]4g^2-4g^4+5g-3g^3+3[/tex]

Therefore, the sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].

To get more about polynomials visit:

https://brainly.com/question/2833285

Answer:

B

Step-by-step explanation:

hello people ~
Question:
The total surface area of a cylinder
= 2πrh + πr²

⤑True [_]
⤑False[_]​

Answers

Answer:

False

Step-by-step explanation:

It's only 2 Pi r

Answer:

False

Step-by-step explanation:

Total Surface Area of Cylinder = 2πr(r+h)

Further if you solve it you will get

→ TSA of Cylinder = 2πr² + 2πrh

So, correct answer is False .

Some Additional Points

Volume of Cylinder = πr²h

Lateral Surface Area of Cylinder=2πrh

where,

π is 22/7 or 3.14

h is height of cylinder

r is radius of cylinder

Use the formula d= rt. Find tfor r= 2.3 cm/s and d=596.39 cm.

Answers

Answer:

t = 259.3

Step-by-step explanation:

d = rt ( divide both sides by r )

[tex]\frac{d}{r}[/tex] = t ( substitute values for d and r )

[tex]\frac{596.39}{2.3}[/tex] = t , then

t = 259.3

given that x=6 and y = -4, elevate the each of the following expressions.
5x over 3y + x

Answers

Step-by-step explanation:

Substitute the given values into the expression;

[tex]\frac{5(6)}{3(-4)} +6[/tex]

Multiply;

[tex]\frac{30}{-12} +6[/tex]

Divide;

30 and -12 aren't common factors. To get to 30 with -12, you need to multiply -12 by -2.5.

[tex]-2\frac{1}{2} +6[/tex]

Add;

[tex]3\frac{1}{2} \; or \; 3.5[/tex]

Write the reciprocal of the number.

28) 1/7

29) 6

30) 1 1/8

31) 3 1/3

32) 2 1/4

33) 2/5

Answers

Answer:

1/7 = 7/1

6= 1/6

1 1/8= 9/8= 8/9

3 1/3 = 10/3 = 3/10

2 1/4 = 9/4 = 4/9

2/5 = 5/2

Step-by-step explanation:

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.

The reciprocal of a number is the number you would have to multiply it by to get the answer 1.

Answer:

28) 7/1

29) 1/6

30) 8/9

31) 3/10

32) 4/9

33) 5/2

Step-by-step explanation:

The radius of a circle is 7.9 ft. Find the circumference \to the nearest tenth to the nearest tenth.

Answers

Answer:

49.6 ft.

Step-by-step explanation:

The formula for circumference is 2πr, so just plug the radius into the formula.

2*π*7.9=49.637 ft

Round that to the nearest tenth to get 49.6 ft.

Mr. And Mrs. Lorenzo want to buy a home valued at $213,500. If they have 18% of this amount saved for a down payment, how much have they saved? a. $384. 30 b. $3,843. 00 c. $38,043. 00 d. $38,430. 0.

Answers

Answer:

D- 38,430

Step-by-step explanation:

To find 18% of 213.5k, we need to convert 18% back into its decimal form (0.18), then multiply it by 213.5k and boom! there is your answer.

PLEASE ASAP PLEASE

Four lines are shown on the grid above

A)(i) write the equation of line L1
(ii) write the equation of line L2
(iii)write the value of (m) and the value of (n) for the line (y=mc+n)
(iv)write the value (p) and (q) for the line y=px+q

B) which of the letters A to K lie in the region where
(i) x >=2. y>=mx +n. and y>=px+q
(ii) y<=2. y<=mx+n. And y<=px+q

C)what is the maximum value of x+y in the region G

Answers

The lines L1 & L2 and the equations y = mx + n & y = px + q are illustrations of linear equations

The equation of line L1

This is a vertical line that passes through the x = 2

So, the equation of line L1 is x = 2

The equation of line L2

This is a horizontal line that passes through the y = 2

So, the equation of line L2 is y = 2

The values of m and n in y = mx + n

The line y = mx + n passes through points (6,3) and (0,0)

This means that n = 0 i.e. the y-intercept.

The value of m is calculated as follows:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{0- 3}{0 - 6}[/tex]

[tex]m = 0.5[/tex]

So, the values of m and n in y = mx + n are 0.5 and 0, respectively.

The values of p and q in y = px + q

The line y = px + q passes through points (6,3) and (0,12)

This means that q = 12 i.e. the y-intercept.

The value of p is calculated as follows:

[tex]p = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]p = \frac{12- 3}{0 - 6}[/tex]

[tex]p = -1.5[/tex]

So, the values of p and q in y = px + q are -1.5 and 12, respectively.

The letters in the region x >=2. y>=mx +n and y>=px+q

The above region represent the upper region between y=mx +n, y=px+q and line L1

The letter in this region is letter H

The letters in the region y <=2. y<=mx +n and y<=px+q

The above region represent the lower region between y=mx +n, y=px+q and line L2

The letters in this region are letters A and E

Read more about linear equations at:

https://brainly.com/question/14323743

Which graph represents a linear function?

Answers

Answer:

Graph D

Step-by-step explanation:

Graph A is incorrect because that is a graph of a negative exponential function.

Graph B is incorrect because that is a graph of a square root function.

Graph C is incorrect because that is a graph of a positive exponential function.

Graph D is correct because linear functions are always straight lines. Linear functions have the base equation of y = mx + b . Because there is only one "x" value to the first power, the function increases by the same amount between each "x" value.

Solve the system of equations - 8x - 8y = 0 and -5x – 7y= -12 by combining
the equations

Answers

Answer:

y=-12/15-13/15x

Step-by-step explanation:

Use the distributive property to write an equivalent expression.

12(4n+10). ASAP, thank you.

Answers

Answer: 48n + 120

Step-by-step explanation:

12(4n+10)

12(4n) + 12(10)

48n + 120

The solids are similar. Find the volume V of the red solid,
7 mm
7 mm
21 mm
21 mm
Volume = 5292 mm
V
mm

Answers

Answer:

1764

.

.

.................

....

What’s the simplified expression

Answers

Answer:

1/144

Step-by-step explanation:

1/(2⁴ * 3²)

1/(16*9)

1/144

One way to convert from inches to centimeters is to multiply the number of inches by 2.54, How many centimeters are there in ⅕ inch?




WILL GIVE BRAINLIEST

Answers

Answer:

  0.508 cm

Step-by-step explanation:

Your problem statement tells you that you can find the number of centimeters by multiplying 1/5 inch by 2.54 cm/in:

  1/5 × 2.54 = 0.508

1/5 inch is 0.508 centimeters

Other Questions
What did the U. S. Lack that would have assisted technological development?a. Water powerb. Landc. Creative ingenuityd. Labor summarize the 1931 event and its signficance which led to darastic change in the international staus quo Write the equation of the line in fully simplified slope-intercept form An equilateral triangle forms a semi-regular tessellation with which of the following regular polygons Billy pushes a supermarket cart with a constant force F. Every time he adds groceries to the cart, the weight of the cart increases. Billy adds groceries until the cart is filled. How do the groceries affect the carts acceleration if the force billy used to push the filled cart is the same force he used to push the empty cart? Rewrite the short story so that it is more descriptive Which three of these classes of animals practice internal fertilization?MammalsBirdsAmphibiansReprilesArthropods Do what it says on the image Which line plot displays a data set with an outlier? How does Truth's discussion of the Bible and religion contribute to her defense of women's must be at least 3 sentances Write the equation of the line that passes through (3, 4) and (2, 1) in slope-intercept form. what did hitler want to recreate in the soviet union Describe 2 reasons why many Midwest farmers and ranchers are welcoming wind farms and becoming developers. What is the purpose of rescue breathing in CPR?A. To provide oxygen to the person's lungs.B. To provide oxygen to the brain.C. To keep oxygen rich blood flowing until a natural heartbeat and breathing can be restored.D. To see of the person has something stuck in their throat. Summary of the poem 'All the world's a Stage' 4,9,10,10,12,14,17,18,18,19 I need help on this, how many solutions does this equation have. A student completes 2/5 of a science project in 3/4 hour. At this rate, what fraction of the project can the student complete per hour? The sum of two numbers is 64. The difference between the numbers is 14. Write a systemto find both numbers. Remember to show all work. the highlighted question is wrong haha please i need this by 9