which of the following is a difference of cubes?
a. 3x^9-64y^3
b. 15x^21-64y^3
c. 27x^15-9y^3
d. x^6+27y^9

Answers

Answer 1

Answer:

D: x^(6) + 27y^(9)

Step-by-step explanation:

A) 3x^(9) - 64y^(3)

The first term is raised to the power of 9 and has a coefficient which cannot also be expressed as a cube while the second term is raised to the power of 3 but has a coefficient that can be expressed as a cube. Thus the entire equation cannot be simplified to cubes as the first term cannot be expressed a cube.

B) 15x^(21) - 64y^(3)

Similar to the reason given in A above, the first term cannot be expressed as a cube.

C) 27x^(15) - 9y^(3)

In this one, the first term can be expressed as a cube while the second one cannot be expressed as a cube because 9 cannot be expressed as a cube.

D) x^(6) + 27y^(9)

This can be expressed as;

(x²)³ - (-3y³)³

This is therefore a difference of cubes


Related Questions

Find the measure of the indicated angle to the nearest degree (Image Attached)

Answers

Answer:

Y = 31.9° (rounded to 3 significant figures)

Select ALL choices that are zeros of this function y=x2 +12x +32

Answers

Answer:

{-8, -4}

Step-by-step explanation:

Rewrite this function y=x2 +12x +32 as y = x^2 + 12x + 32; " ^ " indicates exponentiation.

Set this x^2 + 12x + 32 equal to zero (to find the zeros):  

x^2 + 12x + 32 = 0.  Let's solve this using the quadratic formula, which applies when ax^2 + bx + c = 0:

       -b ± √(b^2 - 4·a·c)

x = -------------------------------

                    2a

The coefficients of the given quadratic are {1, 12, 32}.  Thus, the discriminant is

b^2 - 4ac, or 12^2 - 4(1)(32), or 144 - 128, or 16. Therefore, we have:

       -12 ± √16                                                     -12 ± 4

x = --------------------    which simplifies to:    x = --------------- = { -8, -4}

              2                                                                  2

The zeros are {-8, -4}

The body of a dump truck is raised to empty a load of sand. How high is the 14-foot-long body from the frame when it is tipped upward by a 60° angle?

Answers

Answer:

12.12 feets

Step-by-step explanation:

Based on the attached diagram, we can apply trigonometric rule to obtain h :

Sinθ = opposite / hypotenus

Opposite = h

Hypotenus = 14

Sin 60 = h / 14

0.8660254 = h / 14

h = 0.8660254 * 14

Height, h = 12.12 feets

Solve for x. Round to the nearest tenth.

Answers

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Answer: 8) 64.2

10) 51.3

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

In circle A, marc BC is 67° and marc EF is 74°:

Points B, C, E, and F lie on Circle A. Lines BE and CF pass through point D, creating angle EDF. The measure of arc BC is 67 degrees, and the measure of arc EF is 74 degrees.

What is m∠FDE?

Answers

Answer:

70.5

Step-by-step explanation:

just took the test

A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service. If a passenger has $20, how many minutes can he travel in the taxi?


Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 42 minutes

Explanation:

0.40x + 3.20 = 20

0.40x = 16.8

x = 42 minutes

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Volume of the cylinder? Use 3.14 as pi.

Answers

Answer:

V≈8906.42

Step-by-step explanation:

V=πr2h=π·92·35≈8906.41517

plz give the brainliest

Have a great day!

adding 5 and subtracting 5 are____​

Answers

Answer:

I do not understand

Step-by-step explanation:

Answer:

This question makes no sense but they cancel out

Step-by-step explanation:

Think About the Process What is true about a figure and an image created by a translation? The
vertices of parallelogram GRAM are G(-9, -9), R(-8, -6), A(-4,-6), and M(-5, -9). Graph
GRAM and G'R'A'M', its image after a translation 11 units right and 2 units up.
What is true about a figure and an image created by a translation? Select all that apply.
A. Each point in the image moves the same distance and direction from the figure.
B. The figure and the image are the same size.
C. Each point in the image has the same x-coordinate as the corresponding point in the figure.
OD. The figure and the image are the same shape.

Answers

C. I think it’s correct! Sorry

im confused again please help

Answers

I think the answer is A.CMIIW

The Answer choices are either
45
95
50
90

Answers

The answer would be 95

The dimensions of Jared's classroom are shown in the diagram.
12 m
4 m
6 m
4 m
2 m
8 m
What is the area of the classroom?
A. 36 m2
B. 48 m2
OC.-64 m2
OD. 72 m2

Answers

Answer:

64 m2

Step-by-step explanation:

12x6=72m2

2x4=8m2

72-8=64m2

The area for the given dimensions of Jared's classroom is, 64 m²

What is the area?

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The dimensions of Jared's classroom are,

12 m, 4 m, 6 m, 4 m, 2 m, 8 m

we can divide the area of classroom in two parts,

first A₁, having side lengths of 6 m & 8 m

second A₂, having side lengths of 4 m & 4 m

Jared's classroom area =  A₁ +  A₂

A₁ = 6 × 8

      =  48

A₂ = 4 × 4

     = 16

A =  A₁ +  A₂

  = 16 + 48

  =  64

The area of classroom is 64 m²

To learn more about Area check:

https://brainly.com/question/16151549

#SPJ2

f(x)=2x-8 find a function help ;-;

Answers

F(x)=x2-8x+c
(I think this is the answer)

hello please help i’ll give brainliest

Answers

Answer:

a is the answer I guess.

(-2)÷50

B is the answer: 50 divided by -2 is -25 and -50 divided by 2 is also -25

Word Phrase
Algebraic expression
10 more than the product of 3 and x
9 less than the quotient of n and 5
8 times the product of 5 and t
3 times the sum of x and 5
A state park charges a $6.00 entry fee plus
$7.50 per night of camping.

Answers

Answer:

3x + 10

n/5 -9

8(5t)

3(x + 5)

6 + 7.5n

Please let me know if you have questions about these. I’m happy to try to explain.

which inequalities are true and false?

Answers

I am not just answering for the points, but technically speaking 9 is greater than or equal to 2, 0, and - 1.. So I would say all of them would be true. Hope this helps I am so so sorry if it is incorrect. ✨

Hello please help me, i am in middle school, i failed two classes last semester and i failed one class this semester, will i flunk?

Answers

Answer:

u should be fine. if anything summer school should help you. college does not care about your middle school grades but you should try your hardest to pass. You have to at least pass

Step-by-step explanation:

summer school, if offered will help you. it isn’t going to be hard. you should not be worrying about your middle school grades, hun. you’ll be fine.

The scatter plot shows the number of tickets sold and the price of the tickets.

Using the trend in the scatter plot, about how much will people pay for a ticket If 50 tickets are sold?

A.$50
B.$41
C.$25
D.$5

Answers

Answer:

5$

Step-by-step explanation:

You start at (8, 3). You move down 1 unit. Where do you end?

Answers

Answer:

(8, 2)

Step-by-step explanation:

Initial point is: (x, y) = (8, 3)

When you move up or down, you change the y-coordinateWhen you move left or right you change the x-coordinate

Move down 1 unit:

(x, y) → (x, y - 1)

The new point is:

(8, 2)

please help me............

Answers

Answer:  167* and 562*

Step-by-step explanation:  62x72x89x57x81x93x75x8=167//562

The circumference of a pizza is 75 inches. What is the approximate radius of the pizza?

Answers

If the circumference is 75 the radius should be 11.936

Ken makes 75 cookies. He gives 35 of them to his classmates and 13 of them to his teachers. He brings the rest home. He brings home
cookies.

Answers

27 cookies because 75 - 35=40. 40 - 13=27
75-35 =40 and 40-13 =27
So ken would bring home 27 cookies

A rectangular prism has a width of 5cm, a height of 8 cm and a depth of 10cm. What is the volume of the prism

Answers

Answer:

400

Step-by-step explanation:

5 x 8 x 10 = 40 x 10 = 400

Answer:

400

Step-by-step explanation:

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.6 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.

Answers

Answer:

41.6 centimeters

Step-by-step explanation:

The right triangle formula: c^2 = a^2 + b^2

                                  c is the hypotenuse side of the triangle

                                  a and b are the legs of the triangle.    

 Find the hypotenuse :   c^2 = (24)^2 + (34)^2

                                          c = square root of (  (24)^2 + (34)^2)

                                          c = square root of ( 576 + 1,156)

                                          c = 41.6173

A bathtub can hold 66 galons of water. The faucet adds 5.5 gallons of water to the bathtub evvery minute. Find out how many minutes it takes to fill the empty bathtub. WRITE EQUATION YOU USED!

Answers

Answer: 12 minutes

Step-by-step explanation:

66/5.5

12 minutes

Answer:

12 min

Step-by-step explanation:

5.5 t=66

t=66/5.5=660/55=12 minutes

Each cube in the prism is one cubic unit.
What is the volume of this rectangular prism?​

Answers

78 78 78 78 78 78 78 78 78

He distance between Miami and Naples is 107 miles. The distance between Miami and Jacksonville is about three times this distance. Landon estimates the distance between Miami and Jacksonville is about 400 miles. Is Landon's estimate reasonable? Why or why not?

Answers

Answer:

Step-by-step explanation:

Distance between Miami and Naples = 107 miles

Distance between Miami and Jacksonville is about three times this distance.

Distance between Miami and Jacksonville = 3 * 107 miles

= 321 miles

Landon estimates the distance between Miami and Jacksonville is about 400 miles

The estimate is too high

He should have estimated 107 miles to 110 miles which gives a total of 330 miles

Estimated 400 miles compared to 330 miles is too high

which of the at eight o'clock, which of is the angle between the hour and the minute hands

Answers

Answer:

At 8 o'clock angle between the two hands is 120 degree.

Step-by-step explanation:

For even hours, it’s easy. There are 12 numbers on the 360 degree clock face so each number is 30 degrees. Now, if you are after 6 then “the angle” is the other way so for 8:00, 12–8 = 4*30 = 120 degrees.

The problem comes in when you are not at an even hour. At, say, 8:20, the minute hand has moved 120 degrees and the hour hand has moved 1/3 of 30 or 10 degrees so, the angle is now 8*30 - 4*30 + 10 = 240 - 120 +10 = 130 degrees.

At 8:40 the minute hand has moved 8*30 = 240 degrees and the hour hand has moved 2/3 of 30 or 20 degrees so the angle is now 8*30 - 8*30 + 20 = 20 degrees

Tyler owned the librarian late fees he had to pay a 3% fee on the cost of the books, which was $35.62. What was he charged for a late fee?

Answers

Answer:

$1.07 for the late fees.

Step-by-step explanation:

You can find the fee for this price by finding 3% of the $35.62 (total cost of the books). You can find this number by multiplying (35.62*.03).

35.62*.03

1.0686

Round up because you cannot have part of a cent.

$1.07 for the late fees.

uhmm...hi... can someone plss answer this...
plss don't waist ma póints.​

Answers

Answers:

1: 6, because both are congruent

2: 14, because if half is seven then the whole line is double.

3: (Sorry, I’m not sure on this one).

4: Right triangle

5: 42, because A = (xy) / 2
1) HT = AT because a kite has two pairs of consecutive sides that are equal
So HT=6
2) a kite’s diagonals are perpendicular so GH= 7
7+7=14
3)AMH divides into two equal parts so we divide by 2
35/2 = 17.5
17.5
4)scalene triangle
5)area = 0.5 d1xd2
0.5 x 12x 7=42
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