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2 years ago

If we divide the polynomial x^4+4x^3+2x^2+x+4 by x^2+3x

Mathematics

1 answer:

Fittoniya [83]2 years ago

7 0

Answer:

1. x^3 / x^2 = x

2. x (x^2 + 3x) = x^3 + 3x^2

3. x^3 + 2x^2 + x + 4

-x^3 - 3x^2

= -x^2 + x + 4

1. -x^2 / x^2 = -1

2. (-1) (x^2 + 3x) = -x^2 - 3x

3. -x^2 + x + 4

+x^2 + 3x

= 4x + 4

Step-by-step explanation:

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Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x

Naddika [18.5K]

Consider the first blank is the green box.

Given:

The equations are

$3x+2y=9$

$-x-2y=4$

To find:

The value belongs in the green box

Solution:

We have,

$3x+2y=9$ ...(i)

$-x-2y=4$ ...(ii)

Adding (i) and (ii), we get

$3x+2y-x-2y=9+4$

$(3x-x)+(2y-2y)=13$

$2x+0=13$

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.

6 0

3 years ago

What is the solution to the equation? 14g= 154 5 11 140 2,156

sweet [91]

Answer:

answer is b-11 just took the test

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Given the recursive formula for an arithmetic sequence find the common difference and the 52nd term

Mice21 [21]

Answer:

Common difference(d) $a_{52}$

(21) -10 -548

(22) -7 -323

(23) 10 547

(24) -100 -5118

Step-by-step explanation:

Let the common difference be denoted by 'd'.

Also the nth difference of an arithmetic sequence is given by: $a_{n}=a_{1}+(n-1)\times d$

(21)

We are given a recursive formula as:

$a_{n}=a_{n-1}-10$

The first term is given by:

$a_{1}=-38$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=-10$

The nth term of an arithmetic sequence is given by:

$a_{n}=a_{1}+(n-1)\times d$

Here $a_{1}=-38$ and $d=-10$ .

Hence, $a_{52}=-38+(52-1)\times (-10)$

Hence, $a_{52}=-548$

(22)

$a_{n}=a_{n-1}-7$

$a_{1}=34$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=-7$

Here $a_{1}=34$ and $d=-7$ .

Hence, $a_{52}=34+(52-1)\times (-7)$

Hence, $a_{52}=-323$

(23)

$a_{n}=a_{n-1}+10$

$a_{1}=37$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=10$

Here $a_{1}=37$ and $d=10$ .

Hence, $a_{52}=37+(52-1)\times (10)$

Hence, $a_{52}=547$

(24)

$a_{n}=a_{n-1}-100$

$a_{1}=-18$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=-100$

Here $a_{1}=-18$ and $d=-100$ .

Hence, $a_{52}=-18+(52-1)\times (-100)$

Hence, $a_{52}=-5118$

5 0

4 years ago

The bruins won 50 games last year and only 42 games this year. What is the percent decrease in the number of games the bruins wo

Novosadov [1.4K]

Answer:

8 games this year discrease

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

atroni [7]

Answer: 16⅔ yds by 25 yds

Step-by-step explanation:

Let x be the length of 3 fence sections

Let y be the length of 2 fence sections

A = xy

3x + 2y = 100

y = 50 - 1.5x

A = x(50 - 1.5x) = 50x - 1.5x²

dA/dx = 50 - 3x

0 = 50 - 3x

3x = 50

x = 50/3 = 16⅔ yds

y = 50 - 1.5(16⅔) = 25 yds

5 0

3 years ago