Divide (x^4 - y^4) by (x-y)
Show your calculation .
You can use factorisation.
Answers
Answer:
4
Step-by-step explanation:
x4−y4/x−y
=
x4−y4/x−y
Answer:
[tex]\boxed{x^3 + xy^2 + yx^2 + y^3}[/tex]
Step-by-step explanation:
[tex]\frac{x^4 - y^4}{x - y}[/tex]
[tex]= \frac{(x^2)^2 - (y^2)^2}{x - y}[/tex]
[tex]= \frac{(x^2 - y^2)(x^2 + y^2)}{x - y}[/tex]
[tex]= \frac{(x - y)(x + y)(x^2+y^2)}{x - y}[/tex]
[tex]= (x + y)(x^2 + y^2)[/tex]
[tex]= x^3 + xy^2 + yx^2 + y^3[/tex]
Related Questions
can someone do this and explain it to me
Answers
Answer:OMG I THINK WE HAVE A SAMME CLASS TOGATHER
Step-by-step explanation:
What is the sum (Two-fifths x + Start Fraction 5 over 8 End Fraction) + (one-fifth x minus one-fourth)? Three-fifths x + Start Fraction 1 over 8 End Fraction Three-fifths x + Start Fraction 3 over 8 End Fraction Three-fifths x + Start Fraction 5 over 8 End Fraction Three-fifths x + Start Fraction 7 over 8 End Fraction
Answers
Answer:
3/5x + 3/8
Three-fifths x + Start Fraction 3 over 8
Step-by-step explanation:
Sum of :
(2/5x + 5/8) + (1/5x - 1/4)
Open the bracket :
2/5x + 5/8 + 1/5x - 1/4
Collect like terms :
2/5x + 1/5x + 5/8 - 1/4
3/5x + (5 - 2)/8
3/5x + 3/8
Answer:
1/8x+1/8x
Step-by-step explanation:
GEt iT riGhT
In one year, the population of Douglas, the former copper mining town on the U.S.-Mexico border, shrunk by 200. Over the last ten years, the town's population is going down at an average rate of 1.16% per year. Douglas' current population in November 2020 is 15,140.
Answers
Complete question :
In one year, the population of Douglas, the former copper mining town on the U.S.-Mexico border, shrunk by 200. Over the last ten years, the town’s population is going down at an average rate of 1.16% per year. Douglas’ current population in November 2020 is 15,140. a. Write an equation to model the population decay of Douglas using the data given. b. If the town’s population loss continues to occur at this rate, what will the population of Douglas in 6 months from now? Round your answer to the nearest integer. c. If the town’s population loss continues to occur at this rate, what will the population of Douglas in one year? Round your answer to the nearest integer. d. If the town’s population loss continues to occur at this rate, what will the population of Douglas in November 2027? Round your answer to the nearest integer.
Answer:
15052 ; 14,964 ; 13953
Step-by-step explanation:
Given that:
Rate of population decline = 1.16% annually
Population in November 2020 = 15140
A = I(1 - r)^t
Where ;
A = final population
I = initial population
r = rate of decline
t = number of years
Population in 6 months
t = 6 months = 0.5 year, r = 1.16% = 0.0116
A = 15140(1 - 0.0116)^0.5
A = 15140(0.9884)^0.5
A = 15051.931
A = 15052 ( nearest integer)
Population after 1 year :
A = 15140(1 - 0.0116)^1
A = 15140(0.9884)^1
A = 14964.376
A = 14964 ( nearest integer)
Population in 2027:
t = 2027 - 2020
A = 15140(1 - 0.0116)^7
A = 15140(0.9884)^7
A = 13952.596
A = 13953 ( nearest integer)
3(3k-10)+1=8(3/2k+2) show work
Answers
Answer:
k=−15
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(3k−10)+1=8( 3 /2 k+2)
(3)(3k)+(3)(−10)+1=(8)( 3 /2 k)+(8)(2)(Distribute)
9k+−30+1=12k+16
(9k)+(−30+1)=12k+16(Combine Like Terms)
9k+−29=12k+16
9k−29=12k+16
Step 2: Subtract 12k from both sides.
9k−29−12k=12k+16−12k
−3k−29=16
Step 3: Add 29 to both sides.
−3k−29+29=16+29
−3k=45
Step 4: Divide both sides by -3.
−3k /−3 = 45 /−3
k=−15
karin purchased a DVD player on sale. The original selling price was $171.50. The sale price was $136.97. What is the first step in finding the percent markdown? Find the percent markdown.
Answers
Answer:
?
Step-by-step explanation:
HELP Urgent! Pls Help
Answers
Answer:
u have to put i on the other side of the angle abc
Step-by-step explanation:
first u gotta fince the grades of each angles
-5y+4=-11 what is y in this expression
Answers
Answer:
answer and explanation in pics above
if u have any questions , pls list them in comments
Answer:
Y= 3
Step-by-step explanation:
To do this u can subtract -4 on each side. Whatever u do to one side of the equal sign u have to do to the other.
+4 and -4 cancel each other out
-11 + -4 = -15
The next step is to divide -5y on each side.
-5y divide by negative -5y cancel each other out leaving the y isolated.
-15 divided by -5 gives u positive 3.
So the answer is y=3
Did I get this right? Please help me
Answers
Answer:
yeah ur right lol
Step-by-step explanation:
Answer:
yes it's but I am not good at it but also
according to me that correct
PLEASE HELLP ME! I would appreciate if you can!!
Answers
Answer:
(2) A
Step-by-step explanation: easy Math
Paul asked 200 people what their favorite
fruit was. 80 said it was bananas, 95 said
it was apples, and the rest said it was some
other fruit. What percent likes bananas the
best?
Answers
PLEASE HELP ME I DONT GET IT AND I HAVE TO TURN IT IN SOON HELP ME PLEASE ASAP!!! LOL
Answers
The bottom is 12’2
The exponents are subtracted first which is just basic addition/ subtraction. Good luck!
Step-by-step explanation:
1 question
evaluate:
2985978
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6:
12⁶ -2 -4
Calculate 12 to the power of 6 and get 2985984:
2985984 -2 -4
Subtract 2 from 2985984 to get 2985982:
2985982 -4
Subtract 4 from 2985982 to get 2985978:
2985978
2nd question
evaluate:
8916100448255/35831808 = 248831.999999972
Calculate 12 to the power of 7 and get 35831808:
35831808 - 12-⁵/ 12²
Calculate 12 to the power of -5 and get 1/248832:
35831808 - 1/248832 | 12²
Subtract 1/248832 from 35831808 to get 8916100448255 / 248832:
8916100448255 / 248832 | 12²
calculate 12 to the power of 2 and get 144:
8916100448255 / 248832 | 144
Express 8916100448255 / 248832 | 144 as a single fraction.
8916100448255 / 248832 X 144
Multiply 248832 and 144 to get 35831808:
8916100448255 / 35831808
A recipe uses 3 cups of flour 2 cups of sugar write the ratio of flour to sugar. Then write the related rate and unit rate.
Answers
Answer:
The ratio of a certain thing say A to another B is written as A:BTo write this as a rate, put the left value A on top of the right value B so that [tex]A:B=\frac{A}{B}[/tex] So the rate is [tex]\frac{(3)cupsofflour}{(2)cupsofsugar}[/tex] read as 3 cups of flour per 2 cups of sugarThe unit rate means write the fraction as a rational non-fraction number so [tex]\frac{3}{2}=1.5\\so\\(\frac{3}{2})cupsofflour/cupsofsugar = (1.5)cupsofflour/cupsofsugar[/tex]Charlie is evaluating the product of 0.09 and 0.05. He multiplies, and before placing the decimal, arrives at an answer of 45. After considering the decimal placement, what is Charlie's final answer?
Answers
Answer:
Result = 0.0045
Step-by-step explanation:
Given
[tex]0.09 * 0.05[/tex]
Required
Determine the result
Following Charlie's steps:
0.09 is a 2 decimal placed digit
and
0.05 is a 2 decimal placed digit
So, the product is as follows:
9 --------- 2 decimal place
5 --------- 2 decimal place
------------------------------------------
45 --------- 4 decimal place
Shifting the decimals in 45 to 4 decimal places will give us: 0.0045
Hence, the final answer is 0.0045
Answer:g
Step-by-step explanation:
The freefall function to calculate velocity, v, of an object that begins at rest and falls for distance d is v(d) = 2gd , where g is the acceleration due to gravity. The Storm Runner roller coaster at Hershey Park drops 55 m. Use the free-fall function to calculate to the nearest tenth its velocity at the end of the freefall. Use g = 9.8 m/s2 Enter your answer, rounded to the nearest tenth, in the box. v(55) = m/s
Answers
9514 1404 393
Answer:
32.8 m/s
Step-by-step explanation:
The function is actually ...
[tex]v(d) = \sqrt{2gd}[/tex]
Filling in the given values, the velocity is about ...
[tex]v(55) = \sqrt{2\cdot9.8\cdot55}=\sqrt{1078}\approx32.8\text{ m/s}[/tex]
The velocity at the end of the free-fall is about 32.8 meters per second.
Please help: If the area of a rectangular picture of a stamp is 81 times greater than the actual stamp's area, and the stamp has a length of 4/3". what is the length of the stamp's picture?
I know the answer is 12 inches but not sure how to get there so pls explain
Answers
Answer:
12 inches.
Step-by-step explanation:
We know that the length of the stamp is 4/3 inches.
Let the width be x inches.
Then the area of the actual stamp is:
[tex]\frac{4}{3}x\text{ inches}^2[/tex]
We know that the rectangular picture of the stamp is 81 times greater than the actual stamp’s area. Therefore, the area of the picture is 81 times the above. So:
[tex]81(\frac{4}{3}x)\text{ inches}^2[/tex]
So, the area of the rectangular picture is the area of the actual stamp multiplied by a scale factor k.
When we use the scale factor to scale area, we need to square it. Hence, the area of the actual stamp times the scale factor squared is equal to the area of the rectangular picture. Therefore:
[tex]\frac{4}{3}x(k^2)=81(\frac{4}{3}x)[/tex]
Let’s solve for the scale factor. Divide both sides by 4/3(x). Hence:
[tex]k^2=81[/tex]
Take the square root of both sides:
[tex]k=9[/tex]
So, the scale factor from the actual stamp to the picture is 9.
So, the actual stamp has a length of 4/3.
Then ThThe length of the stamp’s picture will be:
[tex]\frac{4}{3}k[/tex]
Substitute 9 in for k to get:
[tex]=\frac{4}{3}(9)=12[/tex]
So, the length of the stamp’s picture is 12 inches.
ster 1
ET
instruction
Acuve
Writing Linear Equations Using Similar Triangles
Ty
y
Use similar triangles to determine the equation of the
line with a slope of 1/2 that passes through the point (0,
2)
1-4-2
What is the equation of the line in slope-intercept form?
2
1
y = (1/2)X + 2
y = 2x + 1
y = (1/2)x-2
y = 2x - 1
Answers
If there are 70 students in a school and 30% are seventh graders how many seventh graders are there
Answers
Answer:
21
Step-by-step explanation:
Step by step explanation
Because 70 students is 100% and 30% of of the 100% which is 70 all you have to do is multiple my 0.3 since it’s 30 percent you do 0.3 which equals 0.30 if it was 3% you would use 0.03 that was just to let you know now if you multiple 70 times 0.3 you get 21 which is the number of students that are 7th graders.
If this relation is a function and explanation.
Answers
Answer:
Do 01 to x/21 and then it will get 0–238
Step-by-step explanation:
5
HELP!!!! WILL GIVE BRAINLIEST!!!!
Answers
Answer:
B SIR
Step-by-step explanation:
for each new desk that is purchased, by how much does the amount of money left in the school's desk fund increase
Answers
Answer:
I don't really know if i have enough information to solve this problem, but if you call the schools desk fund x and the amount of money a desk costs y then you can make an equation. x is the total value of money you have to spend. X-y is how much money is left after one desk is purchased. Sorry if this wasn't any help, I cannot really understand this question!
Answer:
110$
Step-by-step explanation:
9. Solve the equation. (1 point)
4x = 68
64
72
12
17
Answers
Answer:
17
Step-by-step explanation:
or, 4x= 68
or, x = 68/ 4
: x = 17
Jesse recorded the temperatures at which two oils freeze: Oil Temperature Sesame oil −6.2 °C Peanut oil 3.1 °C Which statement about the temperatures at which these oils freeze is true? Sesame oil freezes at a higher temperature than peanut oil because −6.2 °C < 3.1 °C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C. Sesame oil freezes at a higher temperature than peanut oil because −6.2 °C > 3.1 °C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C > 3.1 °C. plzzz answer this for me ^w^
Answers
Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C
Step-by-step explanation:
Given that:
Freezing point of sesame oil = - 6.2°C
Freezing point of peanut oil = 3.1°C
Comparing the two temperatures :
Freezing(when a substance turns to solid) usually occurs at low temperatures. The temperature of sesame oil(-6 2°C) is lower than that of peanut oil(3.1°C).
Hence, it can be concluded that Sesame oil freezes at lower temperature than peanut oil.
Mathematically,
-6.2°C < 3.1°C
Answer:
Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C
Step-by-step explanation:
At the Howelton Hot Dog Happiness competition, Olaf eats five fewer than triple the hot dogs Alfred eats. Olaf eats 67 hot dogs. Alfred eats "a" hot dogs. How many does Alfred eat? Have to do PEMDAS backwards, just need help setting up the equation.
Answers
Answer:
Alfred ate 24 hot dogs.
Step-by-step explanation:
Let the number of hot dog ate by Olafs be represented by b.
Since Olafs eats five fewer than triple the hot dogs Alfred eats, and Alfred ate a hot dogs. This can be expressed in a mathematical equation as follows;
b = 3a - 5
But Olafs eats 67 hot dogs, so that b = 67. Thus;
b = 3a - 5
67 = 3a - 5
67 + 5 = 3a
3a = 72
divide both sides by 3 to have;
a = [tex]\frac{72}{3}[/tex]
a = 24
Alfred ate 24 hot dogs.
12 - 8x = 3(x + 4)
What do I do for this
Answers
12 - 8x = 3(x + 4)
12 - 8x = 3x + 12
-8x - 3x = 12 - 12
-11x = 0
x = 0
Insulators are materials that stop the flow of electricity.Which of these is an example of an insulator.
A) nail
B) staple
C) crayon
D) paper clip
Pls give a explanation
Answers
Answer:
C
Step-by-step explanation:
because nobody makes wires out of crayons but crayons r cheap and they would be used as wires but they arent probably cuz they dont conduct electricity
Plssss help 20 points plssa
If K Mis the perpendicular bisector of JL, find x.
Plsss
Answers
Answer:
x= 7
Step-by-step explanation:
4x+9 =11x-61
9 = 7x - 61
70 = 7x
x = 7
Which geometric series converges?
StartFraction 1 Over 81 EndFraction + StartFraction 1 Over 27 EndFraction + one-ninth + one-third + ellipsis
1 + one-half + one-fourth + one-eighth + ellipsis
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1
Answers
Answer: b) [tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8}+...[/tex]
Step-by-step explanation:
Converges means it gets smaller or the ratio has an absolute value of less than 1. The bottom 2 you can see that their ratios are greater than 1, and the top one you can see that it progressively gets bigger.
So option B is correct.
Answer: option B
Step-by-step explanation:
Does anyone know how to calculate this
Answers
Answer:
no not me sorry I wish I could help.
The square below represents one whole.
What percent is represented by the shaded area?
%
Answers
Answer: 40%
Step-by-step explanation:
It shows 4/10 which is 40%
Madison’s manicure cost $25.90. She wants to leave a 15% tip. Which of the following is closest to the amount of the tip she wants to leave?
Answers
Answer:
$3.88500
Step-by-step explanation:
so if you round it $3.9
I think