We consider buying three kinds of food. food i has 1 unit of vitamin a, 3 units of vitamin b, and 4 units of vitamin c. food ii has 2, 3, and 5 units, respectively and food iii has 3, 0 and 3 units, respectively. we need to have 11 units of vitamins a, 9 of vitamin b, and 20 of vitamin c. (a) find all possible amounts of three foods that will provide precisely these amounts of vitamins. (b) if food i costs 60 cents and the others cost 10 cents each per unit, is there a solution costing exactly 100 cents.

1\dotplus 2\times 2\dotplus 3\times 2

Step-by-step explanation:

we will take 1 times unit of A from food 1 and 2 times of unit of A from second food and 2 times unit from third

similarly for B we take 1times unit from food 1 and 2times unit from second and 2 times of unit from third

then we get desired A=11,B=9,C=20

the answer is 48m^2!

step-by-step explanation:

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: