Awoman jogging at 6mi/hr passes a man biking in the opposite direction at 12mi/hr. if they maintain their speeds, how far from each other will they be in 10 minuets after passing

10 minutes of an hour is 1/6. So all you need to do is 6 divided by 6 and 12 divided by 6. You will get 1 and 2. Add them together because they are going away from each other to get 3 mi. You could alternatively see how far they would both go in an hour, or 12 + 6 = 18. Now do 18 divided by 6, because 10 is 1/6 of 60 to also get 3.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for