Factor completely. (x^2 – 4)(x^2 + 6x + 9)

Answers

Answer 1
Answer:   (x-2)(x+2)(x+3)(x+3)

This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.

===============================================

Explanation:

x^2-4 factors to (x-2)(x+2) after using the difference of squares rule

x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule

So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)

We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2

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

Side notes:

Difference of squares rule is a^2 - b^2 = (a-b)(a+b)The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2

Related Questions

hat are the intercepts for the equation? Select all that apply. 2x + 3y = 6 *
(3, 0)
(0, -2)
(-4, 0)
(0, 2)

Answers

Answer:

A and D

Step-by-step explanation:

To find the x intercepts, substitute 0 into y.

2x = 6

(3,0)

To find the y intercept, substitute 0 into x;

3y = 6

(0, 2)

So a and d

Which of the costs listed below is not an example of a cost that would be
apportioned?
A. Company-wide workshop
B. Branch salespeople
C. Office supplies
D. Warehouse space

Answers

Answer:

A. Company-wide workshop

Step-by-step explanation:

An example of cost that would be not apportioned is the company-wide workshop.

What is an apportioned cost?

This refers to the distribution of various overhead items in proportion, to the department on a logical basis.

That is, the cost that includes Branch salespeople, Office supplies and Warehouse space are recognized in overhead.

Therefore, the Option A is correct.

Read more about apportioned cost

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What is the equation of the line that has a slope of -4 and goes through (-1,6)?

Answers

Answer:

C

Step-by-step explanation:

you add the 6 to both sides so it cancels on the left leaving you with y= -4(x+1)+6 which is the only equation that goes through point (-1,6)

 In a survey of 1,800 people who owned a certain type of​ car, 990 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

55%

Step-by-step explanation:

Solve for a.
1/2a - 4 = 6

Answers

a=20, you simplify both sides of the equation and then isolate the variable to find a

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Answers

Answer:

wrwhrowurhiuwirhirhiaruarhuaiwrhaihaiowawlrhwauilrhawuirhwauihruaiwhruawilhawuirawlirwairawriahrihawirhlairhawirahwulrihawuilrhawilr to you too. :)

Step-by-step explanation:

Answer:

wrwhrowurhiuwirhirhiaruarhuaiwrhaihaiowawlrhwauilrhawuirhwauihruaiwhruawilhawuirawlirwairawriahrihawirhlairhawirahwulrihawuilrhawilr

Step-by-step explanation:

wrwhrowurhiuwirhirhiaruarhuaiwrhaihaiowawlrhwauilrhawuirhwauihruaiwhruawilhawuirawlirwairawriahrihawirhlairhawirahwulrihawuilrhawilr

The equation - 2 (x + 1) = (y – 5)^2 is represented by which graph?

Answers

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge

What is the equation in slope-intercept form of the line that passes through the points (−4, 2) and (12, 6)?

Answers

Answer:

y = 1x/4 +3

Step-by-step explanation:

M=1/4

Explanation: u just take the two points and plug them in the to the formula y2-y1/ x2-x1

Tyrell is bringing food to a community picnic. He expects 105 people to attend the picnic. He brings 4 cups of potato salad for every 7 people and 5 hot dogs for every 3 people. Select True or False for each statement. True False Tyrell brings 35 hot dogs. O True False Tyrell brings 60 cups of potato salad. The ratio of hot dogs to cups of potato salad that Tyrell brings to the picnic can be written 5:4. the ratio of cups of potato salad too hot dogs at Tyrell brings to the picnic can be written as 12:35​

Answers

Answer:

1. false

2.true

3.false

4. true

Step-by-step explanation:

How many planes are shown in the figure?​

Answers

There are 5 planes shown

Find the slope of the line through the pair of points.
(1,15) and (-3,-6)

Answers

Answer:

21/4

Step-by-step explanation:

-6-15/ -3-1= -21/-4=21/4

distance between a(3,9) b(-10,4)​

Answers

Answer:

√194 i think

Step-by-step explanation:

Answer:

[tex]\boxed {d = \sqrt{194}}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two given points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Substitute the two given points onto the formula:

First point: [tex](3, 9)[/tex]

Second point: [tex](-10, 4)[/tex]

[tex]d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}[/tex]

-Then, you solve for the distance:

[tex]d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}[/tex]

[tex]d = \sqrt{(-13)^{2} + (-5)^{2}}[/tex]

[tex]d = \sqrt{169 + 25}[/tex]

[tex]\boxed {d = \sqrt{194}}[/tex] (since the number cannot be square rooted, the number will stay the same)

Therefore, the distance is [tex]\sqrt{194}[/tex].

Which equation represents this problem? HELP ASAP! :(


Carol's age is three more than two times Lindsay's age. Carol is 39 years old. How old is Lindsay?


Let l = Lindsay's age in years.


A) 2l–3=39


B)2l + 3 = 39


C)3l + 2 = 39


D)3l–2=39

Answers

Answer:

B, 2I + 3 = 39

Step-by-step explanation:

work backwards first, so 39 minus 3 is 36, divided by two is 13.

Using the table below, determine the unit rate in beats per minute.
minutes
beats
3
171
4
228
5
285

Answers

Answer: Where is the table?

Step-by-step explanation: i wish i could help but im afraid there isnt a table

What is 10.3% of 100?

Answers

Answer:

it is 10.3

Step-by-step explanation:

solve for h V=2πr^2h

Answers

Answer: h= V/2πr^2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

An elevator travels 5 feet per second when it is going up and 6.5 feet per second when it is going down.
An elevator starts at ground level and travels up for 7 seconds and down for 5 seconds. What is the
elevator's elevation after 12 seconds?
help pleasee

Answers

Answer:

2.5 feet

Step-by-step explanation:

plz plz plz help me​

Answers

Answer:

use a calculator its that easy

Step-by-step explanation:

Answer:

Line Ef = 24

Step-by-step explanation:

----/2=4/8 solve to find the number that goes in the blank

Answers

Answer:

1

Step-by-step explanation:

hope this helps :)

Find the prime factorization of 35.

Answers

Answer:

1 5 7 35

Step-by-step explanation: im a differnet breed duh

Please Dont Just Say "Hello"

Answers

Answer:

2

Step-by-step explanation:

If you look at the graph number five is below the six and there are 2 plotted points in the graph

Hope this helps! Plz mark as brainliest! :)

Answer:

give the other person brainliest

Step-by-step explanation:

ty :)

Simplify 123 over 3

Answers

Answer:

The answer is 41

Step-by-step explanation:

Answer: 123/3 simplified is 41 or 41/1

Step-by-step explanation:

A camera can take 3/4 of a picture per second. How many pictures can it take in 16
seconds?

Answers

Answer:

12

Step-by-step explanation:

It can take 3/4 of a picture per second. So all you have to do is take 3/4 and multiply it by 16.

Explain how you can use equivalent fractions to find the quotient of 2 3 ÷ 4. Sample Response: Find a fraction that is equivalent to 2 3 , and has a multiple of 4 as the numerator. Multiply the numerator and denominator by 2 to get 4 6 ÷ 4, since 2 3 = 4 6 . The quotient is 1 6 . Which did you include in your explanation? Check all that apply. Find a fraction that is equivalent to Two-thirds, and has a multiple of 4 as the numerator. Multiply the numerator and denominator by 2. Two-thirds = StartFraction 4 Over 6 EndFraction Divide StartFraction 4 Over 6 EndFraction by 4. The quotient is

Answers

Answer:

Find a fraction that is equivalent to 2

3

, and has a multiple of 4 as the numerator. Multiply the numerator and denominator by 2 to get 4

6

÷ 4, since 2

3

= 4

6

. The quotient is 1

6

.

Step-by-step explanation:

i had the questiojn

Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

How could a conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet? (1 foot = 0.305 meters)

Answers

Answer: 4.1 feet : 4 feet

Step-by-step explanation:

From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:

Since 1 feet = 0.305 meters

2.5 meters will be = 2.5/0.305 = 8.2 feet

Therefore the conversion ratio will be:.

= 8.2 : 8

Reducing to lowest term will be

= 4.1 feet : 4 feet.

= 4.1 : 4

How do u know that these two nunbers are oppisites

Answers

Answer:

cous of the negative or positive symbol

Step-by-step explanation:

Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)

Answers

Answer:

See below

Step-by-step explanation:

Part A

Let number of days be d, then the equation is:

50d + 200*0.6 = 1620Part B

Solution of the equation

50d + 120 = 162050d + 120 - 120 = 1620 - 120   ⇒ subtraction property of equality50d = 150050d / 50 = 1500/50                ⇒ division property of equalityd = 30Part C30 days as above

David mixes 2 liters of lemon juice with 9 liters of water to make lemonade. Which ratio of liters of lemon juice to liters of water will make the same concentration of lemonade?
F: 3 : 10
G: 10 : 72
H: 14 : 63
J: 27 : 6​

Answers

Answer:

J

Step-by-step explanation:

The rectangle has length 8 cm and area 48 cm2.
The perimeter of the square is the same as the perimeter of the rectangle.

Calculate the area of the square.

Answers

Step-by-step explanation:

Given,

length of rectangle(l)= 8cm

area of rectangle(A) = 48cm2

breadth of rectangle(b) = ?

Perimeter of rectangle (P)=?

We know ,

Area of rectangle(A) = l×b

or, 48cm2 = 8cm×b

or, 48cm2 = 8bcm

or, 48cm2/8cm = b

or, 6cm = b

or, b = 6cm

therefore, b = 6cm

Perimeter of rectangle (P) = 2(l+b)

= 2(8cm+6cm)

= 2×14cm

= 28cm

therefore, Perimeter of rectangle(P) = 28cm

Now,

According to the question,

Perimeter of rectangle(P) = Perimeter of square(P)

So,

Perimeter of square(P) = 28cm

length of square(l) = ?

Area of square (A) = ?

We know,

Perimeter of square (P) = 4l

or, 28cm = 4l

or, 28cm/4 = l

or, 7cm = l

or, l = 7cm

therefore, l = 7cm

Now,

Area of square (A) = l^2

= (7cm)^2

= 7cm×7cm

= 49cm^2

therefore, area of square (A)= 49cm^2

The area of the square based on the information is 49cm².

Since the rectangle has length 8 cm and area 48 cm², the width will be:

= 48/8 = 6cm.

Therefore, the perimeter will be:

= 2(l + w)

= 2(8 + 6)

= 28cm

Therefore, the length of the square will be:

= 28/4 = 7

Area of the square will be:

= 7cm × 7cm

= 49cm²

Learn more about perimeter on:

https://brainly.com/question/16596982

i’m really bad at math word problems so yeah lol don’t make fun of me

Answers

Answer:

b

Step-by-step explanation:

B. She earns money and doesn't spend anything, according to the word problem, so it is B, officially meaning she has earned $5=$13

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