Answers
Answer:
Factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
Step-by-step explanation:
We need to factor the expression [tex]xy^4+x^4y^4[/tex] completely
We need to find common terms in the expression.
Looking at the expression, we get [tex]xy^4[/tex] is common in both terms, so we can write:
[tex]xy^4+x^4y^4\\=xy^4(1+x^3)[/tex]
So, taking out the common expression we get: [tex]xy^4(1+x^3)[/tex]
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
So, we get:
[tex]xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)[/tex]
Therefor factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
Related Questions
What is 0.82 as a fraction in simplest form?
(I also need the work if not its ok!)
Answers
Answer:
f 41/50
Step-by-step explanation:
A car rental company charges $26 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $18 per
day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
O A 24 miles
OB. 32 miles
C. 42 miles
o D. 44 miles
Answers
What is Y=3x^2+6x+10 in vertex form.
Answers
Answer:
y=3(x+1)^2+7
Step-by-step explanation:
The sum of two integers is 5. Their difference is 11. What are
the two integers?
A) 3 and 14
B) -3 and 8
C)2 and 3
D) -14 and - 3
Answers
Answer:a
Step-by-step explanation:
on a graph there are two points (0,3) and (8,0) what is the proper equation
Answers
Answer:
The line equation of the line is:
[tex]y=-\frac{3}{8}x+3[/tex]Step-by-step explanation:
Given the two points
(0,3)(8,0)Finding the slope between (0,3) and (8,0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:0\right)[/tex]
[tex]m=\frac{0-3}{8-0}[/tex]
[tex]m=-\frac{3}{8}[/tex]
Therefore, the slope of the line: m = -3/8
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -3/8 and the point (0,3)
[tex]y-3=-\frac{3}{8}\left(x-0\right)[/tex]
[tex]y-3=-\frac{3}{8}x[/tex]
Add 3 to both sides
[tex]y-3+3=-\frac{3}{8}x+3[/tex]
Simplify
[tex]y=-\frac{3}{8}x+3[/tex]
Therefore, the line equation of the line is:
[tex]y=-\frac{3}{8}x+3[/tex]HELP ME PLEASEEEEEEEEEEEE
Answers
Answer:
m<1 = 54
m<3 = 54
m<4 = 126
Step-by-step explanation:
<1: <2 and <1 are supplementary angles.
<3: <2 and <3 are supplementary angles. <1 and <3 are vertical angles.
<4: <2 and <4 are vertical angles.
Supplementary angles equal to 180 degrees.
Vertical angles are equivalent.
Let's solve for <1.
<2 + <1 = 180 --> Due to supplementary angles
126 + <1 = 180 --> Substitution
126 + <1 - 126 = 180 - 126 --> Subtracted 126 on both sides
<1 = 54 --> Simplified
Let's solve for <3.
<3 = <1 --> Due to vertical angles
<3 = 54 --> Substitution
Let's solve for <4.
<4 = <2 --> Due to vertical angles
<4 = 126 --> Substitution
Therefore, m<1 = 54, m<3 = 54, and m<4 = 126
Hope this helped! <3
Answer:
1 is 54 degrees
3 is also 54 degrees
4 is 126 degrees
Step-by-step explanation:
If you would like an explanation then ask me in the comments and I will type one. :)
4(10s) – 20 – 50s – 12 + 4s PLEASE HELP AND EXPLAIN
Answers
40s-20-50s-12+4s
-6s+-32
Solve for x. show work. 8+b/-4=5
Answers
Answer:
b=12
Step-by-step explanation:
David has 768 gumballs. He decides to give 95% of them to a friend as a birthday present. How many gumballs does David give away?
Answers
Answer:
729.6
Step-by-step explanation:
to much
What is the slope of a line parallel to the line whose equation is 18x - 3y = -45 fully reduce your answer
Answers
10 Points + Brainliest to first correct answer. Please give explanation for Brainliest. Any fake answers will be reported and deleted.
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4?
Answers
the second one is correct
find the value of x
x=
Answers
Answer:
x = 4
Step-by-step explanation:
Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{BA}{BC}[/tex] = [tex]\frac{AD}{CD}[/tex] , substitute values
[tex]\frac{x}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 12 ( divide both sides by 3 )
x = 4
easy 10 points, math underline. photo below
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
27) Solve: x – 9 = 20
28) Solve: 1/3 x 5/8
29) Solve: 4 x 4 x 4 = ?
Answers
Answer:
bghjgkk7686968679
hjkggkhk67896869
ghjkgh
Step-by-step explanation:
hjkh7689
Answer:
29, 5/24 ,64
Step-by-step explanation:
27) x-9=20
x=20+9
x=29
28) 1/3*5/8
1*5/3*8
5/24
29) 4*4*4
4*4=16
16*4
64
A gardening company sells clay flower pots and plastic flower pots. There must be at least 2 pots in each shipment, but there cannot be more than 8 in a shipment. Additionally, the shipment must weigh less than 100 lbs. Each shipment container weighs 20 lbs., and there is 1 lb. of packing material. A clay flower pot weighs 15 lbs., whereas a plastic flower pot weighs 7.5 lbs.
(A) Write a system of inequalities that represent the constraints on the number of pots that can be included in one shipment.
Answers
The system of inequalities can be obtained from the given information
on the allowable weights and number of pots.
The correct responses:
The system of inequalities that represent the constraint on the number
of pots that can be included in one shipment are;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Methods used to find the system of inequalitiesThe inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8
The inequality that represents weight of each shipment is w < 100 lbs
The weight of each shipment container = 20 lbs
The weight of the packing material = 1 lb
Therefore;
The maximum weight of the flower pots = 100 lbs - 21 lbs = 79 lbsThe weight of each clay flower pot = 15 lbs
The weight of each plastic flower pot = 7.5 lbs
Let "x" represent the number of clay flower pot included in one shipment
and let "y" represent the number of plastic flower pot included in one
shipment, we have;
The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Learn more about inequalities here:
https://brainly.com/question/10868639
We will find the system of inequalities:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
How to write a system of inequalities?
First, we need to define the variables that we will be using, these are:
C = number of clay pots.P = number of plastic pots.From the first restriction, we have that:
2 ≤ P + C ≤ 8
The other restriction says that the weight must be less than 100lbs:
W < 100lbs
Where the weight is:
W = C*15 lb + P*7.5lb + 20lb + 1lb
Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:
C*15 lb + P*7.5lb + 20lb + 1lb < 100lb
We can subtract 21 lb in both sides to get:
C*15 lb + P*7.5lb < 100 lb - 21 lb
C*15 lb + P*7.5lb < 79 lb
So we got our two inequalities, then the system is:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
If you want to learn more about systems of inequalities, you can read:
https://brainly.com/question/9774970
Help me out with this please??? someone??? A model airplane is built with a wing span of 23 inches. The actual wingspan is 92 feet. What is the scale of the model???
Answers
Answer:
The scale is five. you do 90 divided by 18.
It is estimated that 26% of the population of Gingerland have red hair. If 10 residents are chosen at random, what is the probability that... (assume each person is independent)
a) exactly 4 of them have red hair?
b) less than 5 of them have red hair?
c) at least one of them has red hair?
d) What is the expected (mean) number of people you will find with red hair in this group of 10?
Answers
Answer:
The answer for me would be a) exactly 4 of them have red hair
Step-by-step explanation:
being that there is 26 percent of people in Gingerland that gave red hair I cam assume that that is a lot of people being that Gingelrand is like a city/town so exactly 4 of them is what I assume is the amswer
What is 15.2 m to mm
Answers
Answer:
15200mm
Step-by-step explanation:
I just asked googl
Answer:
15.2m is 15200mm
Step-by-step explanation:
you multiply or divide the original number by however many tens places the other measurement is away. So, 15.2(m) is 3 tens places away from (mm) so you would multiply 15.2(m) by 1000 (15.2 x 1000) and you would get 15200
Darren has just unplugged his fridge so it can defrost. Thefreezer is at 17 degrees and warms up at 11 degrees an hour.The fridge part is at 23 degrees and rises 8 degrees per hour.How many hours will it take for both the fridge and thefreezer to be the same temperature? What is thetemperature change in that time span?
Answers
Answer:
im not sure
Step-by-step explanation:
wish i could help!! :((
bUT THANKS for the pointssssssss
Answer:
they intercept at (2,39)
Step-by-step explanation:
so, the starting point is the y int, and the rate it warms up is the slope so you need to create an equation that follows y=mx+b, then you can use a graphing calculator like desmos, to graph the equation.
the equations would be y=11x+17 and 8x+23, x represents hours.
PLEASE HELP !!! ASAPPPP Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
O 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3 fraction.
O 1 over 4 of 10 times the sum of 5 and 3, minus 3
O 3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10
O 10 times fraction 1 over 4 plus 3 and 5, minus 3
Answers
Answer:
I think its the first one...
Step-by-step explanation:
Answer:
First one
Step-by-step explanation:
help???????
dhdjdjmsjd
Answers
Answer:
1/2 over 7/8
Step-by-step explanation:
becauseim smartt
Answer:
the bridge is 90ft long.
Step-by-step explanation:
3/18=15/x
solve for x
use reciprocals to get x as numerator for easier calculation
18/3=x/15
270/3=x
x=90ft
A model is made of an Airbus A300 aeroplane.
The length of the model is 36 cm.
The length of the real aeroplane is 54 m.
Answers
Answer:
Since the Airbus A300 model airplane was made to scale, measuring 36 centimeters, while the real airplane measures 54 meters, to determine the scale ratio between both planes, the following calculation must be performed:
36cm = 0.36m
0.36 = 1
54 = X
54 x 1 / 0.36 = X
150 = X
Therefore, the scale ratio between the model and the real plane is 150:1.
PLEASE HELP!!!! On average, Jack can fold his laundry in 30 minutes, but, depending on how much laundry he has, his time can vary from the average by 10 minutes.
Which absolute value equation can be used to calculate Jack's maximum and minimum time to fold his laundry?
Let x represent the maximum and minimum time.
|x−30|=10
|x+10|=30
|x−10|=30
|x+30|=10
Answers
Answer:
I think it is the third choice
The absolute value equation can be used to calculate Jack's maximum and minimum time to fold his laundry is, |x−30|=10. So, Option A is correct
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
On average, Jack can fold his laundry in 30 minutes
How much laundry he has, his time can vary from the average by 10 minutes
So, maximum time can be 40 minutes
And minimum time can be 20 minutes
Therefore, The result is |x-30| =10
To know more about Equation check:
https://brainly.com/question/1529522
#SPJ2
the spinner below is spun then the a month of the year is randomly selected. Find each probability
Answers
Answer:
I think the answer is 0.3
Step-by-step explanation:
Sorry if am wrong.
Answer:
Step-by-step explanation:
P (blue) fraction = 2/8 decimal=.25 percent=25%
P(purple) fraction=0/8 decimal=0 percent =0%
P(not green) fraction=5/8 decimal=.625 percent= 62.5%
P(not brown) fraction=8/8 decimal=1 percent =100%
2)Refer to the table on air travel selected airports. Suppose a flight that arrived at El Centro is selected at random. What is the probability that the flight did not arrive on time? write your answer as a fraction, decimal and percent.
80% on time so 20% are not on time
20/100 ÷ 20 =1/5
20%, .2, 1/5
3)The spinner has 8 sectors labeled with letters. Each sector of the spinner below is the same size, as shown.
If the arrow is spun 400 times , how many times would it be expected to land on a sector labeled B?
[tex]\frac{B}{Total} \\\frac{3}{8} =\frac{x}{400\\}[/tex]
A)50 C)150
B)100 D)250
PLEASE MARK ME AS BRAINLIEST
Prove the Isosceles Triangle Theorem as a paragraph proof.
Answers
Answer:
Reflexive Property
SAS
<C
In the diagram AB is parallel to CD. What is the value of X
Answers
Answer:
B) 120
Step-by-step explanation:
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
Answers
Answer:
The answer is 200
Step-by-step explanation:
Resuelve por el perímetro.
5 cm
8 cm
Answers
Answer:
5cm
.
.
.
.
.
.
.
.
.
..
..
.
.
..
.
.
Please please please help!!!!!
Answers
Answer:
12 sheets
Step-by-step explanation:
Answer:
12 sheets
Step-by-step explanation:
the captain the chief mate the chief engineer walk around the deck of the ship it takes 4 minutes to the captain to circle the deck of the ship chief mate takes 5 minutes chief engineer takes 6 minutes how many minutes will they meet again at starting point
Answers
Answer:
60 minutes
Step-by-step explanation:
Step 1
We Find and list multiples of each number of minutes that each person walked around the deck until the first common multiple is found. This is the lowest common multiple.
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
Therefore,
LCM(4, 5, 6) = 60
They would meet again at starting point after 60 minutes
