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3 years ago

Factor the expression 20g3 + 24g2 – 15g – 18

1 answer:

3 0

First, put parenthesis around the first two numbers and the last two numbers.
(20g³+24g²) (-15g-18)
Then, take out the greatest common factor of both parenthesis.
4g²(5g+6)-3(5g+6)
You then separate the numbers outside the parenthesis and the numbers in the parenthesis.
(5g+6) (4g²-3)
Then you simplify the second set of numbers. Since the set of numbers can't be simplified, you would leave this problem as it is. I hope this makes sense.

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3 years ago

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3 years ago

2. En la ciudad de Quito, en la temporada fría, se registran temperaturas que van desde los 5 °C hasta los 18 °C. En la temporad

natulia [17]

Answer:

(See explanation below for further detail/Véase la explicación abajo para mayores detalles)

Step-by-step explanation:

(This exercise is written in Spanish and explanations will be held in such language)

a) Las temperaturas quedan representadas a continuación:

Quito - Temporada Fría

Intervalo

$5 ^{\circ}C \leq t \leq 18^{\circ}C$ (Este intervalo indica si el dato puede pertenecer a la temporada fría)

Conjunto

$C = \{\forall t \in \mathbb {R}| 5 \leq t \leq 18\}$ (Este conjunto acumula todo el registro de las temperaturas de la temporada fría)

Quito - Temporada Cálida

Intervalo

$4 ^{\circ}C \leq t \leq 30^{\circ}C$ (Este intervalo indica si el dato puede pertenecer a la temporada cálida)

Conjunto

$H = \{\forall t \in \mathbb {R}| 4 \leq t \leq 30\}$ (Este conjunto acumula todo el registro de las temperaturas de la temporada cálida)

b) La temperatura de la ciudad de Quito pertenece esencialmente a dos intervalos:

Intervalo de Temporada Fría:

$5 ^{\circ}C \leq t \leq 18^{\circ}C$

Intervalo de Temporada Cálida:

$4 ^{\circ}C \leq t \leq 30^{\circ}C$

c) Toda temperatura mayor o igual que 4 °C y menor o igual que 30 °C.

d) Temperaturas mayores o iguales a 5 °C y menores o iguales a 18 °C.

e) Temperaturas mayores o iguales a 4 °C y menores o iguales a 30 °C.

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4 years ago