Subtract the following rational numbers. Be sure that your answer is in the simplest form.
-7/8- (-8/3)

1 19/24 or 1.791666667

Step-by-step explanation:

-7/8 - (-8/3)

open bracket

-7/8 + 8/3

LCM of 8&3 = 24

-21 + 64

24

= -21 + 64 = 43

43/24

= 1 19/24 or 1.791666667

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

, 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