someone help how do I
factor x^3-y^3

Answers

Answer 1

Answer:

(x - y)(x² + xy + y²)

Step-by-step explanation:

Since both are cubed (³),

we can apply the Difference of Cubes Formula:

A binomial that is of the form (something)³ – (something else)³

To factor any difference of cubes,

the formula a³ – b³ = (a – b)(a² + ab + b²).

hence, x³ - y³ = (x - y)(x² + xy + y²)

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Related Questions

A television is 28.5 inches wide and 16 inches long.

Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?

a.)
45 inches

b.)
22 inches

c.)
33 inches

d.)
24 inches

Answers

Answer:

C) 33 inches

Step-by-step explanation:

A^2 + B^2 = C^2

812.25 + 256 = C^2

1068.25 = C^2

32.684 = C

Hope this helps! Pls mark me as brainliest :)

18.
(05.06 LC)

A librarian measured the number of young adult books in a library. The number of books in the library as a function of time (in years since 2008) is shown in the scatterplot. Choose the linear function that best describes the scatterplot relating the number of books in the library, y, to time, x. (1 point)
y = 8 − 10x

y = 8 + 10x

y = 10 − 8x

y = 10 + 8x

Answers

Answer:

y=8+10x that then answer I guess

A, B, C, D got stuck with this problem

Answers

The third option. The translation would move it down, and the reflection would make the shape flip and move to the desired shape.

Which of them factored 12x^7 correctly?

Answers

The one on the left

what is the product of (3a^2b^7)(5a^3b^8)

Answers

Answer:

when multiply with exponents you add so

(3a^2b^7)(5a^3b^8)=15a^5b^13

Hope This Helps!!!

Shane is 12 meters behind the leader in a running race. Kathy is 5 meters behind the leader. Lilly is 5 meters ahead of the leader. Who is/are the nearest to the leader?

Answers

Answer:

Kathy and Lilly

Step-by-step explanation:

Because they both are nearest to the leader distance of 5 meters

Isaac bought snacks for his team’s practice. He bought a bag of chips for $2.94 and a 8-pack of juice bottles. The total cost before tax was $16.62. How much was each bottle of juice?

Answers

Answer:

each bottle of juice was $1.71

Step-by-step explanation

first, subtract the cost of the chips from the total cost

$16.62 - $2.94 = $13.68

now we know the price of all 8 juice bottles. To find the price of each bottle of juice, divide the total price of all 8 juice bottles by 8

$13.68 / 8 = $1.71

$16.62 - $2.94 = $13.68

$13.68/8 = $1.71

Each bottle of juice is $1.71

Which expression is equivalent

Answers

I would say c
Ccccccccccccccccccccccc

please answer all of theses asap

Answers

Answer:

1.   won 50 games and lost 32 games

2.  233 Democrats and 202 Republicans

3.  360 miles

4.  6 hours

5.  18 miles

Step-by-step explanation:

Question 1

let x = number of games lostlet y = number of games won

From the given information:

Equation 1:   x + y = 82Equation 2:   x = y - 18

Substitute Equation 2 into Equation 1 and solve for y:

⇒ y - 18 + y = 82

⇒ 2y - 18 = 82

⇒ 2y = 100

⇒ y = 50

Substitute found value of y into Equation 2 and solve for x:

⇒ x = 50 - 18

⇒ x = 32

Therefore, the team won 50 games and lost 32 games.

Question 2

let d = number of Democratslet r = number of Republicans

From the given information:

Equation 1:   d + r = 435Equation 2:   d = r + 31

Substitute Equation 2 into Equation 1 and solve for d:

⇒ r + 31 + r = 435

⇒ 2r + 31 = 435

⇒ 2r = 404

⇒ r = 202

⇒ d = 233

Substitute found value of d into Equation 2 and solve for r:

⇒ 233 = r + 31

⇒ r = 202

Therefore, there were 233 Democrats and 202 Republicans.

Question 3

Given:

v = 180 m/ht = 2 h

Distance (d) = vt

⇒ d = 180 × 2

⇒ d = 360 miles

Question 4

Given:

v = 70 mi/hd = 420

Time (t) = d ÷ v

⇒ t = 420 ÷ 70

⇒ t = 6 hours

Question 5

Let c = velocity of carLet b = velocity of bus

If the velocity of the bus is 12 mph less than the car then:

⇒ c = b + 12

Given journey times:

Car:  t = 30 mins = 0.5 hBus:  t = 45 mins = 0.75 h

Distance (d) = vt

Create two equations for distance:

Bus

⇒ d = b × 0.75 = 0.75b

⇒ d = 0.75b

Car

⇒ d = (b + 12) × 0.5

⇒ d = 0.5b + 6

Distance for both vehicles is the same. Equate the two equations for d and solve for b (velocity of bus):

⇒ d = d

⇒ 0.75b = 0.5b + 6

⇒ 0.25b = 6

⇒ b = 24 mph

Substitute the value of b into one of the distance formulas and solve for d:

⇒ d = 0.5(24) + 6

⇒ d = 18 miles

If the independent variable is in the rows of a cross-tabulation and the dependent variable is in the columns, which percents do we use for comparisons?

Answers

We make use of the row percentage for comparisons

How to determine the percentage of comparison?

From the question, we have:

Row ⇒ Independent variableColumn ⇒ Dependent variable

The data represented by the independent variable is always used to make comparison

Since this variable is on the rows, then the row percentage would be used for comparisons

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What value is missing from the table?
A. 4.5
B. 5.5
C. 5
D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

The faster you go, the faster you get home (theoretically anyway) and vice versa. So if your speed is doubled, it'll take half the time to get home. But if your speed gets halved, it'll also take double the time to get home.

So, if at 60 mph it takes 1 hour to get home, then if your speed is divided by four to 15 mph, you need to multiply the time by the same number and thus the answer is 4.

8.6 + 5.6x - 1.5 = 40.7

Answers

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex]8.6 + 5.6x - 1.5 = 40.7\\5.6x = 33.6\\x=6[/tex]

Answer:

x = 6

Step-by-step explanation:

solve for x

8.6 + 5.6x - 1.5 = 40.7

5.6x = 40.7 - 8.6 + 1.5

5.6x = 33.6

x = 33.6 : 5.6

x = 6

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

check

8.6 + 5.6 * 6 - 1.5 = 40.7

40.7 = 40.7

the answer is good

Solve the equation 2x + 10 = 30.

Answers

Answer:

X=10

Step-by-step explanation:

1. Subtract 10 from both sides

2. Simplify

3. Divide both sides by the same factor

4. Simplify

ask any question if u don’t understand 33737373

3 x 4 divided by 110 + 60

Answers

Answer:

60.10

Step-by-step explanation:

3 x 4 = 12

12 / 110 = 0.109

0.109 + 60 = 60.109

A driver travels the first 240 km of a 600-km journey at an average speed of 60 km/h. If the time taken for the whole journey is 8 hours 48 minutes, find the average speed for the remaining journey.

Answers

Step-by-step explanation:

1)Take the time he is traveling divided by the speed to get the time.

2)Subract the time you have got from the average time,then subtract the average distance from the traveling distance,then divide the two to get the speed.

3)Take the total distance, divide it by the total time to get the average speed.

In order to determine the height of the flagpole in the school yard, Cindy is going to use similar triangles. The
length of Cindy's shadow is 5 feet. Measuring the length of the shadow of the pole at the same time, she finds
it to be 12.5 feet. Using this information and the fact that Cindy's height is 4 feet, give the height of the pole
to the nearest hundredth of a foot.

Answers

The height of the pole is 12.5 feet.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Cindy's shadow is 5 feet.

length of the shadow of the pole at the same time, she finds it to be 12.5 feet.

So,

12.5/5=x/5,

62.5=5x

x= 12.5 feet.

Hence, the height of the pole is 12.5 feet.

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Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When c is the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the current).



Find the difference in simplest form.

Answers

The time it takes = 3 hours 12 minutes

What is rate?

Rate is a ratio which compares two quantities of different units.

Analysis:

Speed = 5 miles/hour

distance covered = 16 miles

speed taken = distance covered/time taken

time taken = 16/ 5 = 3.2 hours = 3 hours 12 minutes

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Convert the following common fractions to decimals. Round to three decimal places if necessary. You may use a
calculator. 3/4

1. 0.75
2. 3.4
3. 0.34
4. 7.5

Answers

1. 3/4
2.3 2/5
3. 34/100
4. 7 1/2

please place the dot for me(20 points will give brainliest!!!)

Answers

Answer:

a. t = 3 + √15  or  t = 3 - √15

b. t =  6.87  or  t = -0.87

Step-by-step explanation:

a.

Given : t² = 6t + 6

t² = 6t + 6 ⇔ t² - 6t + 6 = 0

USING THE QUADRATIC FORMULA:

[tex]t=\frac{6\pm \sqrt{\left( -6\right)^{2} -4\left( 1\right)(-6) } }{2}[/tex]

Then

[tex]t=\frac{6\pm \sqrt{36 +24 } }{2}[/tex]

Then

[tex]t=\frac{6\pm \sqrt{60 } }{2}[/tex]

Then

[tex]t=\frac{6\pm 2\sqrt{15 } }{2}[/tex]

Then

t = 3 ± √15

Then

t = 3 + √15  or  t = 3 - √15

…………………………………………………

b.

t = 3 + √15 = 6.872983346207 ≈ 6.87

or  t = 3 - √15 = -0.872983346207 ≈ -0.87

A sequence has three terms.
Its term-to-term rule is
multiply by 6 and then add 13
a) The first term of the sequence is -2
Work out the third term.
b) The order of the three terms of the sequence is reversed.
Describe the term-to-term rule of the new sequence.

Answers

Answer:

a) The third term is 19
b) The new term-to-term rule is subtract 13 and then divide by 6.

Step-by-step explanation:

First term: -2
Second term: 1 (-2 * 6 = -12 + 13 = 1)
Third term: 19 (1 * 6 = 6 + 13 = 19)

Our reversed sequence is now 19, 1, -2

First term: 19

Second term: 1 (19 - 13 = 6 / 6 = 1)

Third term: -2 (1 - 13 = -12 / 6 = -2)

It's term is -3 it can be divided into 6 points +79

Can someone help me please

Answers

Answer:

b i just toke the test

jejsjsjsjsjsjsjsjs

Answer:

[tex] \boxed{\bf A)\: 3 \: units}[/tex]

Step-by-step explanation:

Given that, the area = 9π units²

Area of a circle = πr²

So...

[tex]\bf {\pi}r^{2} = 9\pi[/tex][tex]\bf {r}^{2} = 9[/tex][tex]\bf r = 3 \: units[/tex]---------------------------

Which number produces a rational number when added by 1/5

Answers

Answer:

-2/3

Step-by-step explanation:

= 1/5 + (-2/3) = -7/15

(A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Rational number can be both positive and negative.)

Plssss help will give brainliest!!!

Answers

2. 3 is not a function

3. 4 is a function

To be a function it has to pass the vertical line test, meaning the x value can not repeat. So for this problem, you need to look at the ordered pair (x,y). For problem 2, answer 3 is not a function because the x value of 1 appears twice. For problem 3, answer 4 is a function because there aren't any x values being repeated.

Which transformations would result in a geometric figure that is exactly the same size as DEF? check all that apply

Answers

Answer:

A C D Because dilate means to become larger/smaller

Step-by-step explanation:

Analyze the graph of the cube root function shown
on the right to determine the transformations of
the parent function. Then, determine the values of
a, h, and k in the general equation.
y = a√√x-h+k
h =
k =
DONE✔

Answers

The values of a, h, and k in the general equation is h=1, k=4 and a=2

What is parent function?

The function which can be transformed into different ways is the parent function.

On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).

The given function is

y =a³ √(x -h) + k

Put the coordinate (0,2) in the equation, we get

2 = a³ √(0 -h) + k..................(1)

Plug (1, 4), we have

4 =  a³ √(1 -h) + k..................(2)

Plug (2, 6), we have

6 =  a³ √(2 -h) + k..................(3)

On solving these three equations, we have

h=1

k=4

a=2

Thus, value of h is 1, k is 4 and a is 2.

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Answer:

the rest of the answers are:

C

B

C

A

D F

A C D

A

D

H= 1

K=4

A=2

Step-by-step explanation:

What would be the cost for 5 of the gift cards?

Answers

Answer:

$100

Step-by-step explanation:

It appears that each gift card costs $20, so 5 of them would be $20 * 5 gift cards = $100

Answer:

$100

Step-by-step explanation:

From the graph we see that each card costs $20.

Describe how the variability of the distribution changes as the sample size increases.

Answers

Answer:

As the sample size increases, the variability decreases.

Step-by-step explanation:

The actual departures from the mean are used to quantify variability. The variance would be lower the fewer the deviations.

By using the central limit theorem, we can determine that the sample mean for random samples of size n follows a normal distribution.

The standard deviation of the X bar will be [tex]\frac{s}{\sqrt{n} }[/tex].

where s is the sample's variance's square root.

As a result, we discover that the standard deviation, or variability, is inversely proportional to the square root of the sample size. Therefore, standard error lowers as sample size grows. The variability falls off as sample size rises.

Drag each tile to the correct location. These graphs are all rational functions. Classify the graphs based on how many vertical asymptotes they have.

Answers

Step-by-step explanation:

a vertical asymptote goes up and down.

the horizontal ones (like the horizon) go left and right.

A

1 vertical asymptote at x = 0

B

2 vertical asymptotes at x = -1 and x = +1

C

no vertical asymptote (whatever vertical line you can think of, it will always really cross the graph in finite space)

D

1 vertical asymptote at x = 3

E

like A

F

2 vertical asymptotes at x = -1 and x = +4

its math help me pless

Answers

Answer:

mommy

Step-by-step explanation:

The value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.

The given function is [tex]f(x)=3x^{2} -2x[/tex].

We need to evaluate the given function for x=4.

What is the function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

To find the value of the given function replace x with 4 and simplify.

That is, [tex]f(4)=3(4)^{2} -2 \times 4=48-8=40[/tex].

Hence, the value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.

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A rectangle swimming pool was 9 meters wide with an area of 90 square meters. What is the length of the pool?

Answers

Answer:

10 meters.

Step-by-step explanation:

The area of a rectangle formula is width multiplied by length. So, to find the length of the pool, simply divide the width from the area.

90/9=10

The length of the pool is 10 meters.

Hope this helps!

If not, I am sorry.

Length of pool is 10 meters
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