8. What does the slope tell you about the rate of change in elevation during descent?
(1 point for identifying the rate of change)

Don’t mind all the incorrect work on the picture

Ryan ascends at a speed of 0.6 kilometers per hour for the two hours, takes rest for half an hour and then descends at 2.4 kilometers per hour for the half-hour.

Step-by-step explanation:

Step 1; First we need to determine how many different slopes there are on the given graph. Assume time is represented in minutes and distance is represented in meters. There are three in this graph, one goes from 0 minutes to 120 minutes and the second one is from 120 minutes to 150 minutes. The final one goes from 150 to 180 minutes. To calculate the speed of traveling we convert the distance traveled into a constant period of time i.e. an hour.

Step 2; In the first line, Ryan travels from 300 meters to 1,500 meters from 0 minutes to 120 minutes. So he has traveled 1,200 meters in 120 minutes. This equals 600 meters per hour, which equals 0.6 kilometers an hour.

Step 3; In the second line, Alex travels no distance from 120 minutes to 150 minutes. So he was at rest and did not travel in this period of time.

Step 4; In the third line, Alex travels from 1,500 meters to 300 meters from 150 minutes to 180 minutes. So he traveled 1,200 meters in 30 minutes. This equals 2,400 meters per hour, which is 2.4 kilometers per hour.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

1 1/7 hope i

step-by-step explanation:

8/7 = (1 * 7 + 1) / 7 = 1 + 1/7 = 1 1/7