Juan jogs each day from his house to a local park, and then he jogs back along the same route. on his way to the park, he averages 4 miles per hour. on his way home, he averages 6 miles per hour. if the total trip takes hours, which equation can be used to find x, the distance from juan’s house to the park?

x = 3.6 miles is the distance from home to park.

Step-by-step explanation:

Let the distance  be x

since speed for going to park is 4 mph

time taken =

likewise speed while  returning to home  is 6 mph

time taken on returning =

total time =

on solving ,we get

5x =18

x = 3.6 miles

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!