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erik [133]
3 years ago
15

How do I work out A & B ?

Mathematics
2 answers:
Sonja [21]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

(a)

Given

x² + 5x + 6

Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)

The factors are 3 and 2, since

3 × 2 = 6 and 3 + 2 = 5, hence

x² + 5x + 6 = (x + 3)(x + 2) ← in factored form

(b)

To solve

x² + 5x + 6 = 0 ← use the factored form, that is

(x + 3)(x + 2) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2

melomori [17]3 years ago
4 0

Answer:

a)

(x + 2)(x + 3)

b)

x = 2 \: or \: x = 3

Step-by-step explanation:

a){x}^{2}  + 5x + 6

=  {x}^{2} + 2x + 3x + 6

= x(x + 2) + 3(x + 2)

= (x + 2)(x + 3)

b)

{x}^{2}  + 5x + 6 = 0

{x}^{2} + 2x + 3x + 6 = 0

x(x + 2) + 3(x + 2) = 0

(x + 2)(x + 3) = 0

so \: either \: x + 2 = 0 \: or \: x + 3 = 0

therefore \: x =  - 2 \: or \: x =  - 3

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In the exercise, X is a binomial variable with n = 5 and p = 0.2. Compute the given probability. Check your answer using technol
Ronch [10]

Answer:

0.0512

Step-by-step explanation:

We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.

The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x

In the above question,

x = 3

n = 5

p = probability for success = 0.2

q = probability for failures = 1 - 0.2 = 0.8

P(x) = (n!/(n - x) x!) × p^x × q ^n - x

P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3

P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²

P(3) = 10 × 0.008 × 0.64

P(3) = 0.0512

6 0
3 years ago
Cual es el resultado de (7.006×10⁴¹)×(5.09×10²²)<br><br>​
Murljashka [212]

Answer:

El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴

Step-by-step explanation:

La notación científica es una manera rápida de representar un número utilizando potencias de base diez.

Los números se escriben como:

a*10ⁿ

donde:  

  • a es un número real mayor o igual que 1 y menor que 10.
  • n es un número entero, que recibe el nombre de exponente u orden de magnitud. Representa el número de veces que se desplaza la coma. Siempre es un número entero, positivo si se desplaza a la izquierda, negativo si se desplaza a la derecha.

Para realizar la multiplicación con notación científica, debes multiplicar las magnitudes afectadas por las potencias de 10 y, por separado, multiplicar las potencias de 10, recordando la propiedad:

  • Si dos bases son iguales (el mismo número o variable), y son los factores de una multiplicación, ambas bases quedan en una sola y sus exponentes son sumados: xᵃ*xᵇ= xᵃ⁺ᵇ

En este caso:

(7.006×10⁴¹)×(5.09×10²²)=(7.006*5.09)*(10⁴¹*10²²)=35.66054*10⁴¹⁺²²= 35.66054*10⁶³

Siguiendo el formato a*10ⁿ, debes ajustar el valor de la base a de manera que sea un número real mayor que 1 y menor que 10. Entonces, se mueve la coma decimal hacia la izquierda tantos espacios hasta llegar a la derecha del primer dígito.  Y se escribe la base 10, al cual el exponente se suma la cantidad de espacios que se mueve la coma, que es un número positivo porque la coma se desplaza a la izquierda.

Entonces 35.66054*10⁶³= 3.566054*10⁶⁴

<u><em>El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴</em></u>

4 0
3 years ago
Is this a function graph help
hammer [34]

Answer:

This is not a function graph as no variables are present.

6 0
3 years ago
Find the distance between (0,6) and (-6,0).
omeli [17]

Step-by-step explanation:

use distance equation

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3 years ago
Evaluate this expression.
vfiekz [6]

Answer:

6.513

Step-by-step explanation:

1.7 + 0.8 + 4.013 = 6.513 (As there are double minus, so it will become a plus)

8 0
3 years ago
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