In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible product.

Answer:The two positive integers are 30 and 30Step-by-step explanation:Letx------> the larger  positive integery-----> the smaller positive integer P----> the product o the two positive integerswe know that[tex]x+y=60[/tex][tex]y=60-x[/tex] -----> equation A[tex]P=xy[/tex] ----> equation Bsubstitute equation A in equation B[tex]P=x(60-x)[/tex] [tex]P=60x-x^{2}[/tex]This is the equation of a vertical parabola open downward The vertex is a maximumThe y-coordinate of the vertex is the largest possible productUsing a graphing toolThe vertex is the point (30,900)That means------> For [tex]x=30[/tex] The largest possible product is [tex]900[/tex]and[tex]y=60-x[/tex] ------> [tex]y=60-30=30[/tex]thereforeThe two positive integers are 30 and 30