Determine the truth values of the following statements. (assume that x and y are real numbers)
a) the product xy = 0 if and only if either x = 0 or y = 0.
b) the sum of squares x^2 + y^2 > 1 iff both x and y are greater than 1.
c) x^2 − 4x + 3 = 0 ⇔ x = 3
d) x^2 > y^2 ⇔ x > y

The figure above shows the lengths of thesides of a rectangle in cm. find the valuesof x and y and then the area of the rectangle.sides: top= 3x - yleft= 3y + 4bottom= 2x + yright= 2x - 3 use both methods, elimination and substitution, if possible.

Aschool puts on a play. the play costs $1,200 in expenses. the students charge $4.00 for tickets. there will be one performance of the play in an auditorium that seats 500 people. what is the domain of the function that shows the profit as a function of the number of tickets sold?  

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