Which variable is most important to the following problem?
ralph and patrick play on a basketball team. ralph played the whole first
quarter and the first 4 minutes of the second quarter. patrick played the rest
of the second quarter and all of the third quarter. ralph played the whole
fourth quarter. each quarter is 10 minutes long. how long did patrick play?
o
a. the number of players on the team
o
b. the number of minutes patrick played
o
c. the number of substitutions between patrick and ralph
o
d. the length of a quarter

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

yes

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step-by-step explanation:

1. minimum

2. 6400

3. eight

hope this !

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: