A 2 by 3 rectangle contains 8 squares. A 3 by 4 rectangle contains 20 squares. A 4 by 6 rectangle contains 50 squares. What size rectangle contains exactly 100 squares? Is there more than one? Can you find them all? Can you prove there are no more?

Restrictions on f(x) = 1/x+5 and g(x) = x-2

Aplane is taking off from bangladesh headed to new york city. at the same time, a plane from new york city is headed to bangladesh is also taking off. the plane bound to new york city is traveling at 600 mph, while the plane traveling to bangladesh is traveling at 400 mph. how far from new york city will the two planes meet if the distance between new york city and bangladesh is 8,000 miles?

[10 points, algebra 2-simplifying complex fractions]according to my answer key the restrictions are -1 and 4. but why not positive 1?