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I am Lyosha [343]
2 years ago
5

What is the quotient of (x3 3x2 5x 3) Ă· (x 1)? x2 4x 9 x2 2x x2 2x 3 x2 3x 8.

Mathematics
1 answer:
Rina8888 [55]2 years ago
4 0

The quotient of expression is \rm x^2+2x+3.

Given that,

Expression; \rm\dfrac{ (x^3 + 3x^2 + 5x + 3) }{ (x + 1)}

We have to determine,

The quotient of expression?

According to the question,

To determine the quotient of expression following all the steps given below.

Simplify the expression,

\rm =\dfrac{ (x^3 + 3x^2 + 5x + 3) }{ (x + 1)}\\\\= \dfrac{ (x^3 + 2x^2 + 3x + x^2+2x+ 3) }{ (x + 1)}\\\\ = \dfrac{ x(x^2+ 2x+ 3) + 1(x^2+2x+ 3) }{ (x + 1)}\\=  \dfrac{ (x^2+ 2x+ 3) (x+1) }{ (x + 1)}\\\\= x^2+2x+3

Hence, The required quotient of expression is \rm x^2+2x+3.

For more details refer to the link given below.

brainly.com/question/12895249

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Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuánt
mariarad [96]

Answer:

Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables a calcular son:

  • x= cantidad de botellas de 2 litros.
  • y= cantidad de botellas de 5 litros.

Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:

\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.

Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:

x= 1200 - y

Sustituyendo la expresión en la primer ecuación:

2*(1200 - y) + 5*y=3000

Resolviendo se obtiene:

2*1200 - 2*y + 5*y= 3000

2400 +3*y= 3000

3*y= 3000 - 2400

3*y= 600

y= 600÷3

y= 200

Reemplazando en la expresión x= 1200 - y:

x= 1200 - y

x=1200 -200

x= 1000

<u><em>Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.</em></u>

7 0
3 years ago
What is the solution set represented by this number line graph​
Maru [420]

Answer:

x ≥ 2

Step-by-step explanation:

The dot is shaded on the point positive 2 and the arrow is going right so its x ≥ 2.

6 0
3 years ago
What is the remainder when (3x4 + 2x3 − x2 + 2x − 24) ÷ (x + 2)?
ziro4ka [17]

Answer:

=38+x

Step-by-step explanation:

18-2+2x-24÷(x+2) =

16+2x-24-24÷(x+2)

24+16+2x

40+x+2

38+x

5 0
3 years ago
Apr 23, 8:46:54 AM<br> What is the missing term?
kipiarov [429]
Answer: -10x
Explanation: Multiply -2 by 5x
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Find a solution of the linear inequality.<br> y&gt;_4x-5
irga5000 [103]

Answer:

(0,0) is among the solutions

Step-by-step explanation:

The given inequality is y\ge4x-5

A solution to this inequality is any ordered pair that satisfies the inequality.

Let us check for x=0 and y=0

We substitute to get:

0\ge4*0-5

0\ge-5....This is true.

Therefore (0,0) is a solution to the given inequality.

There are infinitely many solutions.

4 0
3 years ago
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