A wholesale sells one kg of green tea leaves for eight dollars and 600 grams of Assam black tea leaves for 7.20 dollars. A tea merchant wants to mix these two types of leaves to form 100 kg of classic blend . Determine the amount of each type of tea leaves he should order from the wholesaler such that his cost is 10 dollars per kg?

answer: 298143

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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.

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