Find an expression for a rational function ƒ(x) that satisfies the conditions: a slant asymptote at y = 100x, vertical asymptote at x = −50, and contains the point (0, 0).

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?