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White raven [17]
2 years ago
5

Solve |5x+30|=10x ......

Mathematics
1 answer:
Orlov [11]2 years ago
5 0

Answer:

Option A

Step-by-step explanation:

We need to solve out ,

\implies |5x + 30| = 10x

We can write it as ,

\implies 5x + 30 = \pm 10x

On simplyfing further,

\implies 5x + 30 =  10x \quad or \quad 5x +30=-10x

On solving the above equation , we will get ,

\implies \boxed{ x = 6,-2}

Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .

<u>Option</u><u> </u><u>A </u><u>is </u><u>correct</u><u> </u><u>.</u>

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Una persona asegura que su casa tiene forma rectangular y que el perímetro de la misma es de 18 m y que además, su área es de 21
leva [86]

Considerando las fórmulas para el perímetro y el área de un rectángulo, hay que se chega en una <u>eccuación cuadrática sin solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

<h3>¿Cuál es la fórmula para el perímetro y el área de un rectángulo?</h3>

Considerando que las dimensiones son l y w, hay que:

  • El perímetro es: P = 2(l + w).
  • El área es: A = lw.

El <u>perímetro es de 18 m</u>, o sea:

2(l + w) = 18

l + w = 9

l = 9- w.

El <u>área es de 21 m²</u>, o sea:

lw = 21

(9- w)w = 21

-w² + 9 - 21 = 0

w² - 9w + 21 = 0

El discriminante es dado por:

D = 9² - 4 x 1 x 21 = -3.

El discriminante negativo implica que la <u>eccuación cuadrática no tiene solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

Puede-se aprender más a cerca de el perímetro y el área de un rectángulo en brainly.com/question/26475963

#SPJ1

4 0
1 year ago
Need anyone’s help with this APEX question! Much appreciated!
VMariaS [17]

<u>Answer:</u>

The correct answer option is D. (x - 7) + 2.

<u>Step-by-step explanation:</u>

We are to determine whether which of the given options best describe the English expression:

<em>'two more than the quantity of a number minus seven'</em>

We can break this expression into smaller chunks to make it easier to translate.

1. two more than ---> +2

2. the quantity of a number ---> suppose the number to be 'x'

3. number minus 7 ---> (x - 7)

Combining these, we get (x - 7) + 2 so the correct answer option is D.

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