The function g(x) is graphed. Which statements about the function are true? Choose three options
1 answer:
Estas son correctas:
Explicación:
_________________________________________
La pregunta completa es:
La función g(x) está graficada.
¿Cuáles afirmaciones sobre la función son verdaderas? Marca todas las que correspondan.
g(1) = -1
g(0) = 0
g(4) = -2
g(1) = 1
g(-1) = 1
g(4) = 2
El gráfico se muestra abajo.
_________________________________________
Los valores de x que consideramos son:
Analizando el gráfico, se identifican los siguientes valores para g(x):
De las opciones, las que resultan verdaderas son:
You might be interested in
Response:
a
f'(t) is negative
b
The unit is degC/min
c
At 35 minutes since the coffee was placed on the counter, the temperature is 68, and it will drop by approximately 0.75 in the next 30 seconds.
Detailed explanation:
According to the question, we are informed that
The temperature of a cup of coffee on a counter is represented by the equation
where t indicates the time in minutes since the coffee was set on the counter.
In general, f(t)' denotes the derivative of f(t), indicating the change in temperature over time for the coffee
As the coffee rests on the counter, its temperature tends to decrease after a few minutes; thus, f(t)' is negative.
The temperature is measured in degrees Celsius while time is expressed in minutes.
Therefore, the change in temperature with respect to time, f(35)', will be given in degrees Celsius per minute (i.e., degC/min).
The question states that
which means the rate of temperature change after 35 minutes is 1.5.
And
indicating that the coffee's temperature after 35 minutes is 67 degrees Celsius.
Subsequently, after another t= 30 seconds = the rate at which the coffee's temperature changes is
=>
=>
Thus
At 35 minutes since the coffee was placed on the counter, its temperature is 68 and will drop by roughly 0.75 in the next 30 seconds.
The likelihood of selecting one girl is calculated as . This is based on having 5 girls within a total of 12 students, and the probability of an event can be expressed as:
.
Using the same reasoning, for the next student, we have reduced the number of students by 1, leading to 11 possible outcomes instead of 12, giving us:, which represents the probability of selecting a boy as the second choice.
Lastly, the probability of choosing a girl for the third selection follows the same logic and is given as:.
However, we must combine these individual probabilities to determine the likelihood of this specific sequence of selections occurring:
This simplifies to: