A hot- air balloon is rising from the ground at a rate of 4 feet every second. Another balloon at 756 feet is descending at a rate of 3 feet every second. In how many seconds will the two balloons be at the same altitude.

108 seconds.

Step-by-step explanation:

Let x represent number of seconds.

We have been given that a hot- air balloon is rising from the ground at a rate of 4 feet every second. So altitude of hot-air balloon would be feet after x seconds.

We are also told that another balloon at 756 feet is descending at a rate of 3 feet every second. Since the altitude of 2nd balloon is descending, so altitude after x seconds would be initial altitude minus change in altitude after x seconds .

Now, we will equate both expression to find the time as:

Therefore, the two balloons will be at the same altitude in 108 seconds.

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )