a new machine with better technology produces 210 gel pens every fifteen minutes. what is the constant of proportionality in the relationship between the number of gel pens and the number of minutes.

, 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

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol

2/4 is the answer

step-by-step explanation:

x= total pieces

both ate 9 pieces

mindy ate 3 so troy ate 6

6= (1/4)x

x =24

question 1: step-by-step explanation:

1/4 of 84 = 84÷4= 21