Three cards are lined up on a table. each card has a letter printed on one side
and a positive number printed on the other side. one card has an r printed on
it, one card has a g printed on it, and one card has a b printed on it. the
number side of each card is facedown on the table. the following is known about
the three concealed numbers:

(i) the product of the number on the card with an r and the number on the
card with a g equals the number on the card with a b;
(ii) the product of the number on the card with a g and the number on the card
with a b is 180; and
(iii) five times the number on the card with a b equals the number on the card
with a g.

determine the product of the numbers on the three cards.

Product of the numbers on three cards is 36 .

Step-by-step explanation:

Let the numbers on the cards with R , G , B respectively be, x , y and z.

Then, according to the question, we get the following 3 equations,

xy = z ----------- (1)

yz = 180 ------------(2)

5z = y ------------(3)

so, from (3) we get, z = y/5 -----------(4)

Putting the value of z from (4) in (2) we get,

⇒ y = 30 [since, y > 0] ------------(5)

So, from (5) and (3) we get,

z = 30/5 = 6 ------------------(6)

so, from (1) we get, xyz =

                                      =

                                      = 36

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.