What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete cal
culation. 12 is in the divisor, 6839 is in the dividend, and 5 hundreds and 6 tens is written in the quotient. 6000 is subtracted from 6839 to give 839. An unknown value represented by a box is being subtracted from 839. Numerical Answers Expected! Answer for Blank 1: Look at the pic
1 answer:
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Answer:
y = -3/1x + 4 ...............
Brief review of proportionality relationships:
When two quantities
are 
proportional, that means any change in 
manifests a 
change (think "in the same direction") in 
.
Silly example: "The more I eat, the fatter I get." Here the amount one eats is directly proportional to one's body weight.
This change isn't always one-for-one, so we introduce a constant
to account for any scaling that occurs on either variables behalf. In general, though, we can write a directly proportional relationship as 
.
Now, when are 
proportional, then a change in manifests a change in in the 
(opposite) direction.
Silly example: "The more I eat, the less thin I get."
This time we write the relation as
.
To get back to your problem: To say that the rate of change of
is inversely proportional to 
is to say that there is some constant such that
This is a separable ODE:
When two quantities
Silly example: "The more I eat, the fatter I get." Here the amount one eats is directly proportional to one's body weight.
This change isn't always one-for-one, so we introduce a constant
Now, when
Silly example: "The more I eat, the less thin I get."
This time we write the relation as
To get back to your problem: To say that the rate of change of
This is a separable ODE: