A young Greek by the name of Zeno is riding his horse to his friends house which is two miles away. He travels half the distance in one hour. But his horse gets tired, and only travels half the remaining distance the second hour, and, again, only half the remaining distance in the third hour. How many miles did Zeno travel in those three hours?

1.75 miles

Step-by-step explanation:

Zeno's friend's house is two miles away. He travels half the distance in one hour.

0.5 × 2 = 1

The second hour, his horse travels half the remaining distance.

0.5 × 1 = 0.5

The third hour, his horse travels half the remaining distance.

0.5 × 0.5 = 0.25

1 + 0.5 + 0.25 = 1.75

Zeno travels 1.75 miles in three hours.

Hope this helps.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18