Alex returns a bike to a friends house from his own house in 1/2 hour. He walks back over the same route in 1.5 hours. If the average speed on the bike is 8 mph faster than his walking speed, how far does alex live from his friend

Step-by-step explanation:

Let x represent his average walking speed.

If the average speed on the bike is 8 mph faster than his walking speed,it means that his biking speed is (x + 8) mph

Distance = speed × time

Alex returns a bike to a friends house from his own house in 1/2 hour. This means that the distance covered is

0.5(x + 8)

He walks back over the same route in 1.5 hours. This means that the distance covered is

1.5x

Since the distance covered is the same, then

1.5x = 0.5(x + 8)

1.5x = 0.5x + 4

1.5x - 0.5x = 4

x = 4 mph

Therefore, the distanceof Alex's house from his friend's house is

4 × 1.5 = 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: