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]

Read more about polynomials at:

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Related Questions

Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie's explanation? Kylie is correct. Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly. Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly. Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

Answers

Answer:

Given:

Step-by-step explanation:

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

This is because the product will be a trinomial and the polynomial will not result in a difference of squares. A difference of squares is when the factor are inverse to each other.

C- Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

A 350 m cable is attached to the top of the tower. The angle of elevation to the top of the tower is 60. How high is the tower in meters

Answers

Answer:

303

Step-by-step explanation:

sin 60 = x / 350

x = 350(sin60) = 303.1

Mrs. Allen, a high school math teacher, is grading quizzes and tests this weekend. She has at most 4 hours, or 240 minutes, to spend
grading, and she would like to get at least 60 quizzes and tests graded. On average, it takes her 3 minutes to grade each quiz and
8 minutes to grade each test,
If x represents the number of quizzes and y represents the number of tests Mrs. Allen grades this weekend, which graph represents
the solution set?

Answers

Answer:

(55,9)

Step-by-step explanation:

^

67.5675675676 rounded to the nearest tenth I get confused sometimes lol.....I completely forgot how this goes, please help me, its for a lab:|

Answers

Answer:

67.6

Step-by-step explanation:

Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.

Which is a zero of the quadratic function f(x) = 16x2 + 32x − 9? x = –5.25 x = –2.25 x = –1.25 x = –0.25

Answers

Answer:

answer b -2.25

Step-by-step explanation:

The zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

How to determine the zero?

We have:

f(x) = 16x^2 + 32x - 9

Next, we test the options.

x = –5.25

f(-5.25) = 16(-5.25)^2 + 32(-5.25) - 9

Evaluate

f(-5.25) = 264 --- this is false

x = –2.25

f(-2.25) = 16(-2.25)^2 + 32(-2.25) - 9

Evaluate

f(-2.25) = 0 ---- this is true

Hence, the zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

Read more about quadratic function at:

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#SPJ9

find the value of each trigonometric ratio part 2​

Answers

Answer:

15/17

12/37

12/13

20/21

Step-by-step explanation:

5)

cos A = adj/hyp = 15/17

6)

cos C = adj/hyp = 12/37

7)

cos Z = adj/hyp = 36/39 = 12/13

8)

tan A = opp/adj = 20/21

Which of the following functions is graphed below?

Answers

Answer:

B

Step-by-step explanation:

there's no point on x^2 +3 at 4 so x < 4 making it B


7 elementary classes will be chosen to participate in a school lunch survey. There are 21 elementary classes in the school. In how many
ways can the classes be chosen?
Keypad
Answer
How to enter your answer

Answers

Answer:

( About ) 1.01371e + 16 ways

Step-by-step explanation:

You have 21 choices for the first student chosen, 20 choices for the next, then 19, then 18. However, this over-counts everything by a factor of 7! (the number of ways in which four objects can be arranged with regard to order).

Thus, take a look at the procedure below;

[tex]21! / 7! =\\21 * 20 * 19 * 18 * 17 * 16 etc. / 7 * 6 * 5 * 4 * 3 * 2 * 1 =\\( About ) 1.01371e+16[/tex]

This is an approximate answer mind you, so I hope that still helps!

what is the y intercept, function, domain and range, and horizontal asymptote of y=3^x

Answers

Answer:  y−intercept is =(0,−2),  the horizontal asymptote is y=4, Domain is − ∞ < x < −2 and  −2 < x < ∞, Range is − ∞ < y < 4 and 4 < y < ∞

Step-by-step explanation: Vertical asymptote can be found by setting the denominator equal to 0 and solving for x : , Horizontal asymptote can be found by evaluating yas x→±∞,

slope=m=

please need help, if someone could explain ;)

Answers

Answer:

5/3

Step-by-step explanation:

The line goes through the points (0,0) and (3,5)

m = (y2-y1)/(x2-x1)

   = (5-0)/(3-0)

   = 5/3

at an ice cream parlor a sundae is $1.25 more than the cost of a cone. if three cones and two sundaes cost $8.00. find the cost of a sundae and the cost of a cone.

Answers

The cones are $1.10 each & the sundaes are $2.35

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

THANKS FOR GIVING BRAINLIEST.

So we need to first find out f(7)

That would be if you look at the line its -1 on the y.

g(-1) on the line is 1 on x

10*-1+9*1

= -10+9

answer is -1

Answer:

10* f(7) +9* g(-1) = -1

Step-by-step explanation:

f(7) = -1, g(-1) = 1

10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1

Please answer !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

f ⁻¹ (-2)=3

f ⁻¹ (1)= 0

Step-by-step explanation:

inverse functions are switching x and f(x) coordinates so f ⁻¹ (-2)=3 and f ⁻¹ (1)= 0

Brainliest ? For which inequality is (0,0) a solution?

Answers

Answer:

C. y-5>3x-7

Step-by-step explanation:

If you multiply y and x to 0 you get -5 > -7

Answer:

C. y-5>3x-7

Step-by-step explanation:

The point (0, 0) would be a solution because the inequality is greater than or equal to. Since the 2 sides become equal, the inequality is true which means (0, 0) is a solution.

please mark me brainliest :)

solve for x
5(x+9)=-45
i need help ASAP

Answers

Answer:

x = -18

Step-by-step explanation:

5 ( x + 9 ) = -45

→ Expand out the brackets to simplify the equation

5x + 45 = -45

→ Minus 45 from both sides to isolate 5x

5x = - 90

→ Divide both sides by 5 to isolate x

x = -18

Answer:

x= -18

Step-by-step explanation:

5*(x+9)=-45

:5            :5

x+9=-9

-9       -9

x= -9-9

x= -18

Write down the order of rotational symmetry of the shape.

Answers

Answer:

the order of rotational symmetry of the shape is 2

What is the perimeter?

Answers

Answer:

91+c

Step-by-step explanation:

The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.

PLEASE HELP ME WITH MATH

Answers

Answer:

Surface Area: 200.48 yd^2

Volume: 141.2 yd^3

Step-by-step explanation:

Rectangular Prism x1 = 148.48 yd^2

Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.

Triangular Prism x2 = 52 yd^2

Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.

Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.

Now we move on to volume, which is actually more simple.

Formula of Rectangular Prisms = length x width x height

Formula of Triangular Prisms = (length x width x height) / 2

Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3

Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2

Finally add the volumes together to get your final volume.

107.52 + 16.8 + 16.8 = 141.2 yd^3

Sorry if this is long xd

In A, tangent HF and chord EG intersect to form ZHEG. Find mZHEG.
A. 118°
B. 236°
C. 242°
D. 3540
Please select the best answer from the choices provided
B
D

Answers

I think it B or D they both gave me answers

Answer:

A.

Step-by-step explanation:

Evaluate and simplify 2ab-1/3e-3d

Answers

Answer: 2ab - e/3 - 3d

Step-by-step explanation:

2ab - 1/3e - 3d

= 2ab - 1e/3 - 3d

= 2ab - e/3 - 3d

Please Answer ASAP! will give 5 star and brainliest

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. Draw the possibility diagram of the product of the two numbers appearing on the die in each throw Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6

Answers

Answer:

Step-by-step explanation:

Use the possibility diagram to calculate the probability that the product of the two numbers is

A prime number

Sample Space: 64

Prime Number:8

Probability: 8/64 = 1/8

Not a perfect square

Sample Space:64

Not a perfect square:56

Probability: 56/64 = 7/8

A multiple of 5  

Sample Space:64

A multiple of 5: 16

Probability: 16/64 = 1/4

Less than or equal to 21  

Sample Space:64

Less than or equal to 21:24

Probability: 24/64 = 6/16 = 3/8

Divisible by 4 or 6

Sample Space:64

Divisible by 4 or 6:32

Probability: 32/64 = 1/2

help? Given the points (0, 9) and (2, 3) find the slope.

Answers

Answer:

Slope = -3

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{3-9}{2-0}[/tex]

Slope = [tex]\frac{-6}{2}[/tex]

Slope = -3

NEED HELP ASAP PLEASE!!!!!!!!!!!!!!!!

Consider the triangles

What can be concluded about these triangles? Check
all that apply
O The corresponding angles are proportional
The ratios of the corresponding sides are
equivalent
The corresponding sides are congruent.
O The corresponding angles have the same measure
DE corresponds to IH

Answers

The corresponding angles have the same measure and the ratios of the corresponding sides are equivalent.

What are similar figures?

Similar figures are figures that have the same shape and the ratio of their corresponding sides are proportional. Also, they have the same corresponding angles.

From the triangles, the corresponding angles have the same measure. Hence, they are similar and the ratios of the corresponding sides are equivalent.

Find out more on similar figures at: https://brainly.com/question/26173060

Answer:

hi im sorry im late, the answers would be:
1. The ratios of the corresponding sides are equivalent.

2. The corresponding angles have the same measure

3. DE corresponds to IH.

Step-by-step explanation: here's proof :)

have a good day!!

5000 people visit a website. 95% stay more than 2 minutes how many people visiting the website stay for more than 2 minutes

Answers

Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95

AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP

Answers

Answer:

Question (8). m∠1 = 142°

                     m∠2 = 300°

Question (9). m∠1 = 73°

                     m∠2 = 82°

Step-by-step explanation:

Question (8). m∠1 + 38° = 180° [Supplementary angles]

                              m∠1 = 180 - 38

                              m∠1 = 142°

                              m∠x = 38° [Alternate interior angles]

                               m∠y = 22° [Alternate interior angles]

                Now, m∠2 = 360° - (m∠x + m∠y)

                                   = 360° - (38 + 22)°

                          m∠2 = 300°

Question (9). m∠RMN + 98° = 180°

                       m∠RMN = 180 -98

                                      = 82°

                       m∠RMN = m∠ARM = 82°

                             m∠2 = 82°

                        m∠SNM = 73° [Vertical angles]

                        m∠SNM = m∠OSR = 73°[Corresponding angles]

                               m∠1 = 73°

anyone know this please ;)

Answers

Answer:

The planet to have the biggest mass is Jupiter

the radius of mercury is 2.44 × 10^5

the difference in mass between Jupiter and Saturn is 2.2 × 10⁴

why is 8.8 a rational number

Answers

Answer:

See below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10

what is 100,000 written as a power with a base of 10? ANSWER QUICK

Answers

Answer:

Its either 10 to the power of 6 or ten to the power of 5

Step-by-step explanation:

...

Help me please........

Answers

Answer:

A

Step-by-step explanation:

By the Pythagorean Theorem, you know that:

[tex]2^2+5^2=c^2[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer: choice A

Step-by-step explanation:

Based on the pythagorean theorem which states

[tex]a^{2} +b^{2} =c^{2}[/tex]

c being the hypotenuse

so 2^2+5^2=c^2

and c would equal [tex]\sqrt{29}[/tex]

Find the domain of the graphed function A. 2 2 C. 1<= x <= 5 D. x is all real numbers

Answers

The answer is 3 that’s not rug I recalling don’t no the answer
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