When graphs are plotted, graphs as in the .jpeg image in attachment are obtained.
First graph is line going through ordered pair (point) (0,6) and pair (6,8).
The second graph is line going through ordered pair (6,8) and pair (8,0).
Intercept of these graphs is point (ordered pair) (6,8).
You see from the .jpeg image that the following is true:
Initial velocity of the runner is 6 meters per second (runner starts with this velocity), for a while he runs, velocity grows, then in the 6th second (time=6), runner starts to slow down and velocity starts to decrease, and runner stops totally at time = 8.
So runner stops after 8 seconds.
The 4th claim (sentence) is correct.
ANSWER
Quotient:

Remainder:

EXPLANATION
The given functions are

and

We want to find the remainder and quotient when f(x) is divided by g(x).
We perform the long division as shown in the attachment.
The quotient is

The remainder is
Answer: No, No, Yes, Yes, Yes
<u>Step-by-step explanation:</u>
At 2:15 the temperature is 7°
It decreases 3° every 15 minutes ⇒ -3
Here is a table:
time | temperature
2:15 | 7
2:30 | 7 - 3 = 4
2:45 | 7 - 3 - 3 = 1
3:00 | 7 - 3 - 3 - 3 = -2
3:15 | 7 - 3 - 3 - 3 - 3 = -5
3:30 | 7 - 3 - 3 - 3 - 3 - 3 = -8
Do you see a pattern? This can be written as:
7 + (-3) + (-3) + (-3) + (-3) + (-3) + (-3)
7 - (3)(5)
7 + 5(-3)
1/2 foot is 6 inches 6 times the amount of sides the cube has (6) would be 36 square inches so take that by the amount of boxes can fit(378) would give you the answer of 13,608
(p.s i am only in middle school i kind of understand this and i think this is right but if not i am 100% sorry)
Answer:
1/2
Step-by-step explanation:
Total -- 6 people
3 people -- 3/6 = 1/2
Therefore, the answer is 1/2