Eli needs to place buoys at specific points in the inlet. He used the expression x4−81 to find the location for each buoy. Which expression is equivalent to Eli's expression?

Answers

Answer 1

Answer:

[tex]x^4 - 81 = (x - 3)(x+3)(x^2 + 9)[/tex]

Step-by-step explanation:

Given

[tex]x^4 - 81[/tex]

Required

Write an equivalent expression

Express 81 as 9^2

[tex]x^4 - 81 = x^4 - 9^2[/tex]

Express x^4 as (x^2)^2

[tex]x^4 - 81 = (x^2)^2 - 9^2[/tex]

Apply difference of two squares:

[tex]x^4 - 81 = (x^2 - 9)(x^2 + 9)[/tex]

Express 9 as 3^2

[tex]x^4 - 81 = (x^2 - 3^2)(x^2 + 9)[/tex]

Apply difference of two squares

[tex]x^4 - 81 = (x - 3)(x+3)(x^2 + 9)[/tex]

Hence, an equivalent expression is: [tex](x - 3)(x+3)(x^2 + 9)[/tex]


Related Questions

New York and Chicago are 4 inches apart on a map if the scale on a map is 1/2 inch equal 100 miles how many miles is it from New York to Chicago

Answers

800 miles
1 inch equal 200 miles

Larry could ______ to make his budget work and afford the ticket.

Answers

Answer:

I need the answer choices

Step-by-step explanation:

Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1

Answers

Answer:

Its a or c sorry if im wrong

(hope this helps :D hehe)

Step-by-step explanation:

Answer:

Please insert a graph.

Step-by-step explanation:

If you submit a picture of the graph on here, I will see how how I can help.

Please solve as soon as possible

Answers

Answer:

.75

Step-by-step explanation:

Because three divided by four is .75

Answer:

Question 22: 0.75 or 75%

Question 23:   5:2

Step-by-step explanation:

Question 22: 3 divided by 4 equals 0.75

Question 23:  

2.5  = 2.5/1

2.5 × 10/10 equals 25/10

25/10 divided by 5 equals 5/2

5/2= 5:2

Find the mean of the first 7 odd prime number?​

Answers

Answer: 75/7 or 10.71 (rounded)

Step-by-step explanation:

Mean = Average

To find the average you should add all the numbers together and then divide it by the amount of numbers.

In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]

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

The list of the first 7 odd prime numbers:

3, 5, 7, 11, 13, 17, 19

Now, add them together

3+5+7+11+13+17+19=75

Divide the sum by 7

75÷7=75/7=10.71 (rounded)

Hope this helps!! :)

Please let me know if you have any questions

A car can drive 560 miles on 10 gallons of gas. How many gallons of gas does the car need to drive 1,260 miles?

Answers

Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.

Yolanda makes $11.25 per hour at her part-time job. During one week, she worked 12 2/5 hours and also earned some tips. Her final pay for the week was $159.50. How much money did Yolanda earn in tips?

Answers

Answer:

She earned $20 in tips.

Step-by-step explanation:

First, you need to work out how much pay she'd get for 12 hours work:

12 x $11.25 = $135 for 12 hours work

Then, find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:

2/5 of $11.25 = $4.50

Add both these sums together to get her total pay for hours worked:

$135 + $4.50 = $139.50

Subtract that sum from her total pay to find out how much money she earned in tips:

$159.50 - $139.50 = $20

if 10^3x=1/0.001,find the value of x​

Answers

Answer:

x = 1

Step-by-step explanation:

Firstly, look at the left hand of the equation

1/0.001 = 1000 = 10^3

then

10^3x = 1000= 10^3

then

10^3x = 10^3

then

x= 1

Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.​

Answers

Answer:

Step-by-step explanation:

2n+15>3

Answer:

2x + 15 > 3

IS THIS RHIGT?

eXPLANATION :

Twice a num = 2(x)

sum of it and 15 = 2x + 15

is greater than 3 = >3

so : 2x + 15 > 3  

Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula

Answers

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

help with question 1

Answers

Answer:

si=Ptr/100

and di solution

BRAINLIEST FOR ANSWER PLEASE HURRY

Answers

Answer:

11.3

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

8^2+8^2=128

the square root of 128 is 11.3137085

then you round to the nearest tenth and get 11.3

What is 4n-32? Factor your expression using the greatest common factor.

Answers

Answer:

4(n-8)

Step-by-step explanation:

take out 4 from 4n-32

so it's 4(n-8) coz 32÷4=8 so yeah

The ratio of the length of a room to its width is 5 to 3. What is the width of a room if its length is 30 feet? Media558a6e2383191.Gif

Answers

Answer:

18ft

Step-by-step explanation:

Given data

Ratio of length to width = 5:3

Length = 30ft

Apply the part to part method

let the width be x

5/3= 30/x

cross multiply

5x= 30*3

5x= 90

x= 90/5

x=18 ft

Hence the width is 18ft

The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.

Answers

Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

Hope it helps you. Please mark as brainliest if it does.

Hello, I need help don't answer the first 3

Answers

Answer:

5. all relations are a function

6. number 4 is not a function

7. 4 is not a function

8. all are functions

9.c

10. x-2=y

11. 2/3

Step-by-step explanation:

PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS

Answers

hope it's helpful ❤❤❤

THANK YOU.

Answer:

4.35

Step-by-step explanation:

If the divisor have decimal places, multiply by 10, 100 ....

As denominator has one decimal place multiply denominator & numerator by 10

[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]

= 4.35

please find h and a​

Answers

Answer:

h=12 + c=20

Step-by-step explanation:

a^2+b^2=c^2

9^2+h^2=15^2

15^2-9^2=h^2

225-81=h^2

144=h^2

[tex]\sqrt{144}[/tex] = h

12=h

a^2+b^2=c^2

16^2 + 12^2 = c^2

256+144=c^2

400=c^2

[tex]\sqrt{400}[/tex] = c

20=c

Calculating Algebraic expressions and stuff. (See Attachment) Plz explain if you can.

Answers

Answer:

no it is not correct

Step-by-step explanation:

it's kind of hard to explain in words so I'm sorry about that

hope it helps

How do you solve 5(3x+10) using the rainbow method?

Answers


Multiply using the distributive property.
15x + 50

A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?

Answers

Answer:

3600 watt-hours consumed per day.

Step-by-step explanation:

First we'll want to find how many hours are in 3 days and 6 hours.

3 x 24 = 72 + 6 = 78

78 hours is 3 days and 6 hours.

We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.

11700 / 78 = 150

Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.

150 x 24 = 3600

The image shown is an object formed from a cylinder and spherical hemisphere. The radius of the base is 7 cm and the height of the cylinder is 10 cm

(π = 22/7). The volume of the object is ....
A. 2258,67 cm3
B. 2618,33 cm3
C. 2926,67 cm3
D. 2977,33 cm3

Answers

Answer:

Volume = 2,258.67 cm³

Step-by-step explanation:

Volume of the object = volume of hemisphere + volume of cylinder

= ⅔πr³ +πr²h

Where,

π = 22/7

r = 7 cm

h = 10 cm

Volume = (⅔*22/7*7³) + (22/7*7²*10)

Volume = 2,258.67 cm³

Jordan signed a rental agreement for her new condo. Based on the contract, who is responsible for paying the gas, electric, and water bills? A. The owner B. The utility company C. Jordan D. Both the owner and Jordan​

Answers

Answer:

Jordan

Step-by-step explanation:

pls help me I will mark

Answers

Answer:

6

Step-by-step explanation:

Slope is going up 6 and 1 across.

Answer:

6

Step-by-step explanation:

A storekeeper increased the price of hats by 5%.

Write an equation to calculate the increase of the total

cost, c, when the price of a hat is p dollars.

Select all that apply.

A c 1.50p

BC-,95p

cc 1.05p

Dc-1 + 05p

Ec-(1 + .05)p

Answers

Answer: c = 1.05p

Step-by-step explanation:

Price of the hat = p

Percentage increase in the price of the hat = 5%

The equation to calculate the increase of the total cost, c, of the hat will be:

c = p + (5% × p)

= p + (5/100 × p)

= p + (0.05 × p)

= p + 0.05p

c = 1.05p

simpliyfy (-3/7)^3 * (-3/7)^4​

Answers

Answer:

Step-by-step explanation:

(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷

Answer:

the answer to this question is (-3/7)^7

5.2x+8+2.1x-3 which is an equivalent expression by combining like terms A. 5.2x+8+2.1x-3 B. 5.2x+5+2.1x C 13.2x-0.9x D 7.3x+5

Answers

Answer: 7.3x + 5

Step-by-step explanation:

For us to solve the question, we have to solve 5.2x+8+2.1x-3 and the answer gotten will allow us know the equivalent expression.

= 5.2x+8+2.1x-3

= 5.2x + 2.1x + 8 - 3

= 7.3x + 5

Therefore, the correct answer is 7.3x + 5

SOLVE
[tex](2 x - 4) {?}^{2} [/tex]

Answers

Answer:

4x² - 16.

Step-by-step explanation:

(2x-4)² =?

(2x-4)² = (2x)² - (4)²

= 4x² - 16.

Answer:

x = 2

Step-by-step explanation:

To solve , equate to zero, that is

(2x - 4)² = 0, so

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

need help please thanks​

Answers

Answer:

6x-y = -18

Step-by-step explanation:

m=6
This is the total

John makes $400 per week. What does it mean for him to get a l50% salary raise. Explain in words and then give and example showing a calculation

Answers

Answer:

can some one give the answer

Step-by-step explanation:

pls

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