What is the product
(7x^2)(2x^3+5)(x^2-4x-9)

The polynomials [tex](x^{2} +x-1)[/tex] and [tex](x^{4} -3x^{2} +4x-3)[/tex] has a quotient of[tex](x^{2} +x-3)[/tex]. The polynomial is [tex](x^{2} +x-1)[/tex].

What is Euclid's division lemma?

Euclid's division lemma states that for any positive integers, let's say a and b the condition [tex]\rm a=bq+r[/tex], where [tex]\rm 0\leq r\leq b[/tex].

Mathematically, we can say that

Dividend = divisor × quotient + remainder

P(x) = g(x) × q(x) + r(x)

To find the divisor g(x)

[tex]x^{4} -3x^{2} +4x-3= \rm g(x)\times (x^{2} +x-3) + r(x)\\[/tex]

On dividing P(x) by q(x) we get,

[tex]x^{4} -3x^{2} +4x-3 \div (x^{2} +x-3) = \rm g(x)+0[/tex][tex](x^{2} +x-3) \times (x^{2} +x-1)\div (x^{2} +x-3) = \rm g(x)\\(x^{2} +x-1) = \rm g(x)\\[/tex]

Hence, the polynomials [tex](x^{2} +x-1)[/tex] and [tex](x^{4} -3x^{2} +4x-3)[/tex] has a quotient of [tex](x^{2} +x-3)[/tex]. The polynomial is [tex](x^{2} +x-1)[/tex].

learn more about 'Division of polynomial' here:

https://brainly.com/question/12978781

Answer:

x - 2y = 18

Step-by-step explanation:

Answer:

Multiply

3

by

−

1

.

(

x

+

3

i

)

(

x

−

3

i

)

Answer:

596

Step-by-step explanation:

plato

Answer:

The answer should be 596.

Step-by-step explanation:

542+54=596.

Answer:

my answer is 2x+ 3y=22 because that the answer

Answer:

Step-by-step explanation:

-x + 3y =9

substitute y with 2/3x as mentioned in the question

so,

-x+3 (2/3x) = 9

cancelling 3 we get..

-x+2x=9

x=9

hope it helps

thanks

Answer:

y = 6

Step-by-step explanation:

- x + 3y = 9 ( add x to both sides )

3y = 9 + x → (1)

y = [tex]\frac{2}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

3y = 2x → (2)

substitute 3y = 2x into (1)

2x = 9 + x ( subtract x from both sides )

x = 9

substitute x = 9 into (1)

3y = 9 + 9 = 18 ( divide both sides by 3 )

y = 6

Answer:

½*b*h

Step-by-step explanation:

½*base*height

Answer:

c

Step-by-step explanation:

choose me as brainly-est

Answer:

17.5 sq. in.

Step-by-step explanation:

3.5 in(5 in) =

17.5 sq. in.

[tex]\qquad \textit{Centroid of a Triangle} \\\\ \left(\cfrac{x_1+x_2+x_3}{3}~~,\cfrac{y_1+y_2+y_3}{3}~~ \right)\quad \begin{cases} F(\stackrel{x_1}{1},\stackrel{y_1}{5})\\\\ G(\stackrel{x_2}{-2},\stackrel{y_2}{7})\\\\ H(\stackrel{x_3}{-6},\stackrel{y_3}{3}) \end{cases} \\\\\\ \left( \cfrac{1-2-6}{3}~~,~~\cfrac{5+7+3}{3} \right)\implies \left( \cfrac{-7}{3}~~,~~\cfrac{15}{3} \right)\implies \left( -2\frac{1}{3}~~,~~5 \right)[/tex]

Answer: it is first person well it should be

Step-by-step explanation:

In "The Emperor's New Clothes" no narrator does the opening tell you about the narrator. Correct option is c.

In "The Emperor's New Clothes," the opening doesn't provide direct information about the narrator's perspective. The opening typically sets the scene and introduces the main characters and setting. As a result, it does not clearly indicate the narrator's point of view.

Therefore, the correct answer would be:

C. no narrator

In some versions of the story, there may be a narrator providing the context or guiding the reader, but in the traditional fairy tale version, the story is usually presented without a specific narrator.

To know more about Emperor's:

https://brainly.com/question/28148656

#SPJ2

1.5x-0.5 should be the answer

Answer:

D

Step-by-step explanation:

it reflects

Answer:

D

Step-by-step explanation:

i think the answer is D.it is just guess

Amy has 10 candies.

Jack has 30 candies.

1 out of 4 is Amy's

3 out of 4 is Jack's

Amy's = 1/4×40=10

Jack's = 3/4×40=30

Answer:

80 cm

Step-by-step explanation:

(5 x 8) x 2

40 x 2

80 cm

Answer:

80cm

Step-by-step explanation:

5x8=40x2=80cm

Answer: 1/2

Step-by-step explanation:

Scale factor:

model/real-life = 5/10 = 1/2

Answer:

31 us the answer but I am not sure about the answer

Answer:

Step-by-step explanation:

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Mary needs 50ft of fence to protect her rectangular garden from squirrel

We can conclude that

The perimeter of the rectangular garden

[tex]\bold{ = 50\: ft}[/tex]

We know that,

Perimeter of the rectangle

[tex]\sf{ = 2( Length + Breath) }[/tex]

Let assume the width of the garden be x

According to the question

[tex]\sf{ Perimeter\:of\:rectangle = 2( x + 8 + x) }[/tex]

[tex]\sf{ 50 = 2( x + 8 + x) }[/tex]

[tex]\sf{ 50 = 2( 2x + 8)}[/tex]

[tex]\sf{ 50 = 4x + 16}[/tex]

[tex]\sf{ 50 - 16 = 4x }[/tex]

[tex]\sf{ 34 = 4x }[/tex]

[tex]\sf{ x = }{\sf{\dfrac{34}{4}}}[/tex]

[tex]\sf{ x = 8.5 }[/tex]

Thus, The breath of the garden is 8.5 ft

The length of the garden

[tex]\sf{ = x + 8}[/tex]

[tex]\sf{ = 8.5 + 8}[/tex]

[tex]\sf{ = 16.5\: ft }[/tex]

Hence, The length and breath of the rectangle are 8.5ft and 16.5ft .

Given :

⠀

To Find :

⠀

Solution :

We know that,

[tex]\qquad{ \sf{ \pmb{2(Length + Width ) = Perimeter_{(rectangle)}}}}[/tex]

⠀

Substituting the values in the formula :

[tex]{ \dashrightarrow\qquad{ \sf{2(x + x - 8 ) = 50}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{2(2x- 8 ) = 50}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{4x- 16 = 50}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{4x = 50 + 16}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{x = \dfrac{66}{4} }}}[/tex]

[tex]{ \dashrightarrow\qquad{ \bf{x = 16.5}}}[/tex]

Therefore,

⠀

[tex]{ \dashrightarrow\qquad{ \sf{Width_{(Garden)} = x - 8}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{Width_{(Garden)} = 16.5 - 8}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \bf{Width_{(Garden)} = 8.5}}}[/tex]

⠀

Therefore,

⠀

Hence,

Answer:

10 1/2x + 126 sq. feet

Step-by-step explanation:

Area = length × width

length = 12 + x

width = 10 1/2

(12 + x)(10 1/2)

126 + 10 1/2x

Answer:

Step-by-step explanation:

Approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.

A geometric series is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed constant. This constant is called the common ratio, and it is denoted by the letter "r".

The formula for the sum of the first n terms of a geometric series is:

S_n = a(1 - rⁿ)/(1 - r)

where S_n is the sum of the first n terms, a is the first term of the sequence, r is the common ratio, and n is the number of terms in the series.

The number of grains of wheat on each square of the board can be found by raising 2 to the power of the square number minus 1. For example, the number of grains of wheat on the first square is 2⁰ = 1, the number on the second square is 2¹ = 2, the number on the third square is 2² = 4, and so on.

So, the total number of grains of wheat on the board is the sum of 2⁰ + 2¹ + 2² + ... + 2⁴⁸. This is a geometric series with first term 1 and common ratio 2. Using the formula for the sum of a geometric series, the total number of grains of wheat is:

2⁰ + 2¹ + 2² + ... + 2⁴⁸ = (2⁴⁹ - 1)/(2 - 1) = 2⁴⁹ - 1

This is approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.

To know more about series visit:

https://brainly.com/question/21087466

#SPJ1

Answer:

9 litres

Step-by-step explanation:

200 = 15

divide both sides by 200

1 = 0.075

multiply both sides by 120

120 = 9

Answer:

D

Step-by-step explanation:

Because neither Mr. Kim nor anyone else is picking the people of a specific group when the paper is drawn from the bag. And rolling a cube with numbers 1-6 you almost never get the number you want so it is really random. And then after the groups are picked they roll the die and then that number is crossed off so it is not used again with the other groups.

Answer:

0.0250610597014925

Step-by-step explanation:

Step-by-step explanation:

the slope is always the factor of x.

so, m = 5.

to get b we use the point coordinates as x and y values :

3 = 5×2 + b

3 = 10 + b

b = -7

Answer:

top and bottom because it math

Step-by-step explanation:

Answer:

Andre scored 14 points

Step-by-step explanation:

We make an equation describing the problem:

x + 9 = 5 + 9

x = 14

We compare Noah and Andre by doing:

2x + 10

and x = 5

This means Diego scored 5 points.