Brandon and carmen are each driving from arches national park to their homes. the functions graphed represent each person's distance from home, in kilometers, x hours after leaving the park. select each correct answer.   carmen is driving at a faster rate than brandon. the difference in the  y-intercepts represents the difference between the distances of brandon's and carmen’s homes to arches national park. the difference in the  x-intercepts represents the difference between brandon's and carmen's  driving speeds. brandon is driving at a faster rate than carmen.

A. Carmen is driving at a faster rate than Brandon.

B. The difference in the y-intercepts represents the difference between the distances of Brandon's and Carmen's homes to Arches National Park.

The correct option first and second.

Explanation:

It is given that Brandon and Carmen are each driving from Arches National Park to their homes. The functions graphed represent each person's distance from home, in kilometers, x hours after leaving the park.

From the figure it is noticed that the distance of Arches National Park form carmen's home is more than the Brandon's home.

It is also noticed that the time take by carmen is less than the Brandon. Since carmen cover more distance in less time it means Carmen is driving at a faster rate than Brandon.

Therefore the option 1 is correct and option 4 is incorrect.

Since the y is represent the distance of Brandon and Carmen from home, it means the difference in the y-intercepts represents the difference between the distances of Brandon's and Carmen’s homes to Arches National Park.

Therefore the option 2 is correct.

The x-axis represents the time, so the option 3 is incorrect.

Therefore two options are correct. i.e., first and second option.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation: