which binomial is a factor of 8x^2y^3-18y

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]8x^2y^3-18y[/tex]

Apply exponent rule:   [tex]a^{b+c}=a^ba^c[/tex]

[tex]8x^2y^3-18y=8yy^2-18y[/tex]    ∵ [tex]x^2y^3=yy^2[/tex]

                    [tex]=4\cdot \:2yy^2+9\cdot \:2y[/tex]

Factor out common term 2y

                    [tex]=2y\left(4x^2y^2-9\right)[/tex]

We know that the Binomial is an expression that consists of two terms. Thus,

(4x²y²- 9) represents the binomial factor of [tex]8x^2y^3-18y[/tex]

We can further simplify by Factoring 4x²y² - 9:  (2xy + 3) (2xy - 3)

                      [tex]=2y\left(2xy+3\right)\left(2xy-3\right)[/tex]

Here:

(2xy + 3) and (2xy -3) are the binomial factors of [tex]8x^2y^3-18y[/tex] as each of them consists of two terms.


Related Questions

Find all real zeros of the function y=-9x-1
A. -9
B. 1/-9
C. 1/9
D. -9 -1
Please select the best answer from the choices proided

Answers

Answer:

OPTION D

Explanation:

For zeros of the function (y is the function, a function of x) we need y = 0 so that in turn means we need - 9x - 1 = 0 or - 9x = 1 (i.e. add 1 to both sides); now divide by - 9, and x = 1/-9 which is exactly the same as - 1/9 or - (1/9) and this is the only zero of the function.

or

If y = -9x - 1,

When y = 0

0 = -9x - 1

0 + 1 = -9x - 1 + 1

1 = -9x

1/9 = -9x/9

1/9 = -x

1/[9 X (-1)] = -x/-1

- (1/9) = x

When x = 0

y = (-9 X 0) - 1

y = 0 - 1

y = - 1

I really need help omgggggggg

Answers

Answer:

The 3rd one  Abc is a congeuent

List 3 values that would make this inequality true.

Answers

Answer: n < 2, n < 1

Step-by-step explanation:

question 1: Multiply and simplify.

x^2⋅x⋅x^5
(I got x^8 but I was unsure.)

question 2: Multiply and simplify.

(3x+7)8x^2

Answers

Answer:

question 1 = x7 and question 2 = 24x^3+56x^2 I'm pretty sure

Ben just walked into Best Buy and saw the TV of his
dreams! It's a 60 inch 4K Smart TV that is on sale for
$550. What a bargain! How much will Ben have to pay in
tax (MA sales tax is 6.25%)?
Be sure to LABEL your answer!
(Note: with sales tax problems, you may need to round
your answer to the nearest penny.)

Answers

Answer:

$6.30

Step-by-step explanation:

Write the expression with a factor of -1.

-3y
-x-y
-6+5b
3-8m

Answers

15b + 22ym = 15 is the answer

Let p: The kitchen is clean.
Let q: The bedroom is clean.
Which statement iS true if the kitchen is clean but the bedroom is not clean?
• If p is true, then q is true.
• Statement q if is true if and only if p is true.
• Both p and q are true.
• Statement p or q is true.

Answers

Answer:

the last one would be the answer as we know the kitchen is clean so it might be some if true

The sum of 4 consecutive odd integers is 40. Find the first number algebraically.

Answers

Step-by-step explanation:

2n+1+2n+3+2n+5+2n+7

8n+16=40

8n=40-16

8n=24

n=3

HELP ME DO THIS PROBLEM PLEASE PLEASE

Answers

Answer:

p=1

Step-by-step explanation:

5p=p+4

5p-p=4

4p=4

p=1

5p=5×1=5

p+4=1+4=5

p+16=1+16=17

17p=17×1=17

I need help on this question below

Answers

I think it’s the Second one

Happy valentines dayyyy math suckss help pleaseeeeeee

Answers

Happy Valentine’s Day and the answer is number 3

Write an equation in slope intercept form given:
Slope = 1/2
y-intercept= -8

Answers

Answer:

y= 1/2x - 8

Step-by-step explanation:

.
What is cot(A)?
0 37
7
3,2
7
O 37
O 32
7
0 31

Answers

Answer:

may I see a photo?

Step-by-step explanation:

Answer:

its A -3 (squareroot of 7)/7

Step-by-step explanation:

Warmup 2/16/21(create a table to compare the 2)
.
If you were babysitting, would you rather
Charge $5 for the first hour and $8 for each additional
hour?
bry
SY
.
Or
Charge $15 for the first hour and $6 for each additional
hour?
ebo...
Explain your reasoning.
ng

Answers

The 1st one because you get more money out of it

Select the most specific name for the quadrilateral shown.
O parallelogram
O rhombus
O rectangle
square

Answers

Answer:

Square

Step-by-step explanation:

square - (geometry) a plane rectangle with four equal sides and four right angles

box there are 10 blue marbles for every 35 red marbles what is the reduced ratio of red marbles : blue marbles​

Answers

10:35, both are divisible by 5
2:7

PLEASE HELP I NEED THE ANSWER NOW WILL GIVE YOU BRAINLEST

Answers

Answer:

your answer is C

Step-by-step explanation:

Answer:

D. x>8

Step-by-step explanation:

A. Give two examples of addition of Like Fractions.

B. Give two examples of Subtraction of Like Fractions

C. Give three examples of multiplication of Fractions.

D. Give two examples of Addition of Unlike Fractions.

E. Give two examples of Division of Fractions.


IM GIVING BRAINLIEST AND 30 POINTS!!

Answers

Answer:

A: 3/5 + 2/5 = 5/5

A: 3/5 + 1/5 = 4/5

B: 3/5 - 2/5 = 1/5

B: 3/5 - 1/5 = 2/5

C: 3/5 x 2/5 = 6/25

C: 3/5 x 1/5 = 3/25

C: 2/5 x 1/5 = 2/25

D: 1/2 + 1/4 = 3/4

D: 4/5 + 4/10 = 6/5

E: 4/6 ÷ 2/6 = 2

E: 1/6 ÷ 1/6 = 1

Step-by-step explanation:

Which sentence is true?

Answers

Answer:

B

Step-by-step explanation:


I’m confused, any help?

Answers

Answer:

D

Step-by-step explanation:

Trust me its D because to equal f(x)--->Inf., you need to have x equal a negative

D hope this helps your welcome

write a congruence statement for the figures below . pleeasse show your work ​

Answers

Answer:

[tex] \triangle FDE \cong \triangle RTS[/tex]

Step-by-step explanation:

[tex] In \:\triangle FDE \:\&\:\triangle RTS[/tex]

[tex] FD \cong RT... (given) [/tex]

[tex] \angle FDE \cong \angle RTS... (given)[/tex]

[tex] DE \cong TS... (given) [/tex]

[tex] \therefore \triangle FDE \cong \triangle RTS\\(by\: SAS\: postulate)[/tex]

Find the Width of the Rectangular Prism.

Answers

Answer:

w = V/12 IN X= 840in then 840÷12 = 70in

A rectangular prism has 70in width having volume 840in³, length is 2in, and height 6in.

What is a rectangular prism?

A rectangular prism or a  cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

V = (l×w×h).

The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, A rectangular prism has a volume 840 in³, its length is 2 in and its height is 6in.

Assuming width to be w in.

∴ (l×w×h) = volume.

(2×w×6) = 840.

12w = 840.

w = 70 in.

learn more about cuboid here :

https://brainly.com/question/19754639

#SPJ2

ASAP: #43. Find the area of triangle ABC given A = 42.5°, b = 13.6, c = 10.1 (Draw a triangle, give answer to nearest tenth!)

Correct answer gets marked brainliest:)

Answers

Answer:

The area of a triangle  A = 46.399 square units

Step-by-step explanation:

Explanation:-

Given that ΔABC

Given ∠ A = 42.5° and sides b= 13.6 and c =10.1

The area of a triangle

                [tex]A = \frac{1}{2} b c sin A[/tex]

                [tex]A = \frac{1}{2} 13.6(10.1) sin 42.5[/tex]

                [tex]A = \frac{1}{2} 137.36(0.67559)[/tex]         (∵ sin (42.5)° = 0.67559

               A = 46.399 square units

Given the expression 2(3x + 1), what would be the resulting equivalent expression after the distributive property is applied?

Answers

Answer:

6x + 2

Step-by-step explanation:

2(3x + 1)

Multiply 2 with 3x and 1.

6x + 2

Answer:

6x + 2

Step-by-step explanation:

2 x 3= 6

2 x 1= 2

Somebody help me please I’m giving brainliest!

Answers

Answer:

98º

Step-by-step explanation:

Select the correct answer from each drop-down menu. A restaurant is analyzing its customer satisfaction level. The manager performs an observational study of customers during the lunch hour on a Monday and draws the conclusion that most of the customers are satisfied with the service they receive. because the sample is v. In this instance, an study was The conclusion drawn from the study is conducted.​

Answers

Answer:

Not valid

Biased

inappropriate

Step-by-step explanation:

No actual study was done, only observation.

Answer:

not valid biased innapropriate

Step-by-step explanation:

plato users

what is 5/9 + 1/3? (please show your work)

Answers

Answer:

8/9

Step-by-step explanation:

First: Turn the 1/3 in 3/9 (You have to find the common denonminator or bottom number in a fraction)

Second: add (3/9 + 5/9= 8/9)

Answer: 8/9

(Brainliest??)

The value of the fractional expression 5/9 - 1/3 will be 17 / 3.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

5/9 and 1/3

Then the difference between the numbers 5/9 and 1/3 will be given by putting a minus sign between them. Then we have

⇒ 5/9 - 1/3

⇒ (5 - 3) / 9

⇒ 2 / 9

The value of the fractional expression 5/9 - 1/3 will be 17 / 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Question 7
Laura had 23 ounces of plant food. She wants to use the same amount of plant food each day on her garden. She wants to use all the plant food she has before buying more. Which statement is true?
If she uses plant food in her garden for 6 days, she uses
1
6
ounces of plant food each day
B
2
If she uses plant food in her garden for 10 days, she uses 2
23
ounces of plant food each day
Ounces of plant food each day
С
If she uses plant food in her garden for 8 days, she uses 3
8
8
1
D
If she uses plant food in het garden for 11 days, she uses 2 11 ounces of plant food each day

Answers

Answer:

(d) and (e) are true

Step-by-step explanation:

Given

[tex]Food = 23\ oz[/tex]

See attachment for proper presentation of question

Required

Select all true statements

For any option to be true, it must satisfy the following condition.

[tex]Days * Food = 23[/tex]

Option (a):

[tex]Days = 6[/tex]

[tex]Food = 4\frac{1}{6}[/tex] per day

So, we have:

[tex]Days * Food = 6 * 4\frac{1}{6}[/tex]

[tex]Days * Food = 6 * \frac{25}{6}[/tex]

[tex]Days * Food = 25[/tex]

This is not true because: [tex]25 \ne 23[/tex]

Option (b):

[tex]Days = 10[/tex]

[tex]Food = 2\frac{2}{23}[/tex] per day

So, we have:

[tex]Days * Food = 10 * 2\frac{2}{23}[/tex]

[tex]Days * Food = 10 * \frac{48}{23}[/tex]

[tex]Days * Food = \frac{480}{23}[/tex]

[tex]Days * Food = 21[/tex] --- approximated

This is not true because: [tex]21 \ne 23[/tex]

Option (c):

[tex]Days = 8[/tex]

[tex]Food = 3\frac{1}{8}[/tex] per day

So, we have:

[tex]Days * Food = 8 * 3\frac{1}{8}[/tex]

[tex]Days * Food = 8 * \frac{25}{8}[/tex]

[tex]Days * Food = 25[/tex] --- approximated

This is not true because: [tex]25 \ne 23[/tex]

Option (d):

[tex]Days = 11[/tex]

[tex]Food = 2\frac{1}{11}[/tex] per day

So, we have:

[tex]Days * Food = 11 * 2\frac{1}{11}[/tex]

[tex]Days * Food = 11 * \frac{23}{11}[/tex]

[tex]Days * Food = 23[/tex] --- approximated

This is true because: [tex]23 = 23[/tex]

Option (e):

[tex]Days = 7[/tex]

[tex]Food = 3\frac{2}{7}[/tex] per day

So, we have:

[tex]Days * Food = 7 * 3\frac{2}{7}[/tex]

[tex]Days * Food = 7 * \frac{23}{7}[/tex]

[tex]Days * Food = 23[/tex] --- approximated

This is true because: [tex]23 = 23[/tex]

Find the value of x.

Answers

Answer:

i think x is 36

Step-by-step explanation:

3x + 2x = 180


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

(1, 72) (2, 73)

(73 - 72)/(2 - 1)= 1/1= 1

y - 72 = x - 1

y = x + 71

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