Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4

–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
3x4 + x3y – 8x2y2 + 9xy3 – 13y4

Answers

Answer 1

Answer:

D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

Step-by-step explanation:

[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]

[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]

[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

Answer 2

The standard form of a polynomial is the general way of writing the polynomial.

The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

The polynomial expression is given as:

[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]

Collect like terms

[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]

Evaluate the like terms

[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]

Rewrite the polynomial in decreasing order of the power of x

[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

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Related Questions

I need the answer please

Answers

Answer:

AC=22

AB=11

BC=33

Step-by-step explanation:

[tex]2(3x - 4) = 2x + 12 [/tex]

6x-8=2x+12

12+8=6x-2x

20=4x

x=5

∴AC=2(5)+12=22

∴AB=3(5)-4=11

∴BC=7(5)-2=33

For each sequence, find the first 4 terms of a sequence:

a) n²+3
b) 2n²

Answers

Answer:

a) 4, 7, 12, 19

b) 2, 8, 18, 32

Step-by-step explanation:

Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms

Answer:

a) 4, 7, 12, 19

b) 2, 8, 18, 32

Step-by-step explanation:

In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :

[tex]a) {n}^{2} + 3[/tex]

[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]

[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]

[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]

[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]

[tex]b)2 {n}^{2} [/tex]

[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]

[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]

[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]

[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]

What are two other words used for hypotenuse

Answers

Answer:

solo la conosco como ipotenuza

Step-by-step explanation:

Answer:

flank right-angled triangle right triangle

Step-by-step explanation:

What is the rate of change between (6,12) and (8,20)

Answers

Step-by-step explanation:

It might be easier thinking of "rate of change" as the slope. Since you'll be finding a slope, then, use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the values.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{20-12}{8-6}\\m=\frac{8}{2} \\m=4[/tex]

Answer:

[tex]m=\frac{4}{1}[/tex] or [tex]m=4[/tex]

what is the area of the circle?​

Answers

Answer:

A = 90.25π

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]

r = 9.5

A = 90.25π

Answer:

[tex]\pi \times 9.5 {?}^{2} [/tex]

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?

Answers

Answer:

labron james

Step-by-step explanation:labron james labron james labron james

Answer:7c

Step-by-step explanation:

idk.

Mrs.Gomez paid $780 for a new backyard fence. A new gate cost and additional $225. The fencing was a total of 120 feet. What was the unit cost per foot for the fence?

Answers

I’m not sure what the gate has to do with the problem, but you should just divide 780 by 120 to get 6.5. In other words, each foot costs $6.50.

I need help with this question. What makes 9/4, when you have to divide a number by 4?

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex]x \div 4=9/4[/tex]

[tex]x=9/4 \times 4[/tex]

[tex]x=36/4[/tex]

[tex]x=9[/tex]

Answer:

9

Step-by-step explanation:

x/4=9/4

x=9 (multiply both sides by 9)

Ashley is on her way home in her car. She has driven 18 miles so far, which is two-thirds of the way home. What is the total length of her drive?

____ Miles

Answers

Answer:

27 miles

Step-by-step explanation:

2/3rds of the way home is 18 miles

2/3 d = 18

Multiply each side by 3/2

3/2 * 2/3 = 18 *3/2

d = 27

The distance is 27 miles

4x+2y=10 5x+3y=12 solve the simultaneous question

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:

4x + 2y = 10

5x + 3y = 12

→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:

-12x - 6y = -30

10x + 6y = 24

____________

-2x = -6

→Divide both sides by -2:

x = 3

→Plug in 3 for x into an equation:

4x + 2y = 10

4(3) + 2y = 10

12 + 2y = 10

2y = -2

y = -1

plz help ASAP i would thx u alot

Answers

Answer:

The second answer

Step-by-step explanation:

Scalene right triangle

The area of a rectangle is 54 5454 square meters. The width is 9 99 meters long. Which equation correctly relates the given information and the length, ℓ ℓell?

Answers

Answer:

it is longer than 1/3

Step-by-step explanation:

HELP I DONT GET THIS AT ALL. ITS ABOUT INEQUALITIES EXPLANATION NEEDED

Answers

Answer:

Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.

Please help! Correct answer only!

Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Answer:

The probability is 0.107

25x⁴+4x⁴y²+4y⁴ answer this​

Answers

Answer:

(5x²+2y² + 2xy)(5x²+2y²-2xy)

Step-by-step explanation:

25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)

So I have to compute the following but i don't know what they mean any help?

Answers

Answer:

Step-by-step explanation:

This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr

i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.

I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.

Recall that

[tex]nCr=\frac{n!}{(r!)(n-r)!}[/tex]

Consider question a) we are given (5 1) or ₅C₁

we can see that n = 5 and r = 1

If we substitute this into the formula:

₅C₁ = (5!) / [ (1!)(5- 1)!]

= (5!) / [ (5- 1)!]

= (5!) / (4!)

= (5·4·3·2·1) / (4·3·2·1)

= 5

hence ₅C₁ = 5

Answer:

(a) 5

(b) 10

(c) 35

(d) 28

(e) 9

(f) 21

Step-by-step explanation:

[tex](\frac{n}{k} )=\frac{n!}{k!(n-k)!}[/tex]

(a)

[tex](\frac{5}{1} )=\frac{5!}{1!(5-1)!} \\\\(\frac{5}{1} )=\frac{5*4*3*2*1}{1*4!} \\\\(\frac{5}{1} )=\frac{120}{1*4*3*2*1} \\\\(\frac{5}{1} )=\frac{120}{24} \\\\(\frac{5}{1} )=5[/tex]

(b)

[tex](\frac{5}{3} )=\frac{5!}{3!(5-3)!} \\\\(\frac{5}{3} )=\frac{5*4*3*2*1}{3*2*1*2!} \\\\(\frac{5}{3} )=\frac{120}{3*2*1*2*1}\\\\(\frac{5}{3} )=\frac{120}{12} \\\\(\frac{5}{3} )=10[/tex]

(c)

[tex](\frac{7}{4} )=\frac{7!}{4!(7-4)!} \\\\(\frac{7}{4} )=\frac{7*6*5*4*3*2*1}{4*3*2*1*3!} \\\\(\frac{7}{4} )=\frac{5040}{4*3*2*1*3*2*1} \\\\(\frac{7}{4} )=\frac{5040}{144} \\\\(\frac{7}{4} )=35[/tex]

(d)

[tex](\frac{8}{2}) =\frac{8!}{2!(8-2)!} \\\\(\frac{8}{2}) =\frac{8*7*6*5*4*3*2*1}{2*1*6!} \\\\(\frac{8}{2}) =\frac{40320}{2*1*6*5*4*3*2*1}\\\\(\frac{8}{2}) =\frac{40320}{1440} \\\\(\frac{8}{2}) =28[/tex]

(e)

[tex](\frac{9}{8} )=\frac{9!}{8!(9-8)!} \\\\(\frac{9}{8} )=\frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1} \\\\(\frac{9}{8} )=\frac{362880}{40320} \\\\(\frac{9}{8} )=9[/tex]

(f)

[tex](\frac{10}{4} )=\frac{10!}{4!(10-4)!} \\\\(\frac{10}{4} )=\frac{10*9*8*7*6*5*4*3*2*1}{4*3*2*1*6!} \\\\(\frac{10}{4} )=\frac{3628800}{24*6*5*4*3*2*1} \\\\(\frac{10}{4} )=\frac{362880}{17280} \\\\(\frac{10}{4} )=21[/tex]

Find the y-intercept of the following equation. Simplify your answer. 25 POINTS WILL MARK BRAIN

y = –10x + 7


y-intercept =

Answers

Answer:

7

Step-by-step explanation:

y=mx+b

b= y-intercept

So 7 is your answer


Which verbal expression is represented by 2(x + 4)?

A. twice the sum of a number and four

B. the sum of two times a number and four

C. two times the difference of a number and four

D. twice the product of a number and four

Answers

Answer:

A.

Step-by-step explanation:

The sum of a number, x, and 4 just means x + 4.

If we take twice this sum, it implies that we take the resulting number and multiply it by 2.

Our resulting number is x + 4, so we are left with 2(x + 4).

I hope this helps!

The correct answer is twice the sum of a number and four.

What is an expression?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, 2(x+4)

The sum of a number, x, and 4 just means x + 4.

Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.

The resulting number is x + 4, so it is 2(x + 4).

Hence, The correct answer is twice the sum of a number and four.

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What is mzABC?
75°
Om ABC = 15°
Om ABC = 45°
135
С
Om ABC = 60°
Om ABC = 75°
B
D

Answers

Answer:

D

Step-by-step explanation:

I got it on the test

The measure of ∠ABC in the triangle below is 60°

Triangle

Triangle is a polygon with three sides and three angles. The sum of angles in a triangle is 180°.

∠ACB + 135 = 180° (Sum of angles in a straight line)

∠ACB = 45°

In triangle ABC:

∠ABC + ∠ACB + ∠CAB  = 180° (Sum of angle in a triangle)

∠ABC + 75 + 45 = 180

∠ABC = 60°

The measure of ∠ABC in the triangle below is 60°

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find the value of x​

Answers

Answer:

x = -14

Step-by-step explanation:

Look at the image attatched. I have labeled the angles for better explanation.

We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:

108 = x + 122.

We then solve this by getting:

x = 108 - 122

which gives us the answer of

x = -14

Answer: x = -14

Step-by-step explanation:

a) Top triangle, top angle: Using the Linear Pair Postulate, 180° - 126° = 54°

b) Top triangle, bottom left angle: Congruent sides implies congruent angles = 54°

c) Bottom triangle, top left angle: Using the Complimentary Angles Postulate, 90° - 54° = 36°

d) Bottom triangle, bottom angle: Congruent sides implies congruent angles = 36°

Triangle Sum Theorem states that the sum of the three angles must equal 180°.

36° + ∠2 + 36° = 180°

36° + (x + 22) + 36° = 180°

x + 194 = 180

         x = -14

what is the inverse of the function

Answers

The inverse of it is the inverse of that & thing u know

Answer:

[tex]g^{-1}(x)=-\frac{3}{2}(x+5)[/tex]

Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R. 4.9 4.7 2.5 2.3

Answers

Answer:

5.1

Step-by-step explanation:

Before we calculate  the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given P(−2, 7), and R(1, 0)

RP = √(1-(-2))²+(0-7)²

RP = √3²+(-7)²

RP = √9+49

RP =√58

To get the y value for point Q that is located two thirds the distance from point P to point R, this will give

PQ = y = 2/3 of √58

= 5.1

Answer: I Believe its 2.3

Step-by-step explanation:

P is located at (-2,7)

R is located at (1,0)

Look at the y coordinates

P(-2,7)  R(1,0)

7 to 0= distance of 7

multiply 2/3 by 7 = 4.7      (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)

Now plug in the info we know:

.y axis = 7 - 4.7 = 2.3

Hope this helped! Im taking the test and ill be back if this is wrong

The volume of a cube depends on the length of its sides. This can be written
in function notation as ws). What is the best interpretation of v(4) = 64?

Answers

Answer:

46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2

What is the angle relationship shown below?
A)Corresponding
B)Same side interior
C)Alternate interior
D)Alternate exterior
E)Vertical

Answers

Answer:

The relationship between the angles is alternate exterior angles.

Step-by-step explanation:

Exterior means outside.

Alternate means every other or in this case across form each other.

These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.

Rewrite 6/4 as a percent. Make sure to label your answer with %.

Answers

Answer:

to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator

Find the surface area of the polyhedra
pls!! show how you got the surface area ​​

Answers

Answer:

960cm^2

Step-by-step explanation:

surface area = sum of area of one sides

front + back = 336cm^2

side x 2 = 336cm^2

base + top = 288cm^2

sum = 960cm^2

Mark Brainiest, please

A city has a population of 2.8 million people. 45% of the population are male.
How many females live in the city?

Answers

Answer:

1.54 million

Step-by-step explanation:

If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!

Answer:

the answer for this question is 1.54×10^6

Step-by-step explanation:

45%- Male

100%-45%=55%

55/100×(2.8×10^6)=1540000

=1.54×10^6

What effect will 4 have on the graph of y = sin(x)?

Answers

Answer:

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Step-by-step explanation:

The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]

The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?

1. 1/3 hours
2. 3 hours
3. 3.5 hours
4. 5 hours

Answers

Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles

Step-by-step explanation:

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