An arch has the shape of the parabola y = 36 − x2. a rectangle is fit under the arch by selecting a point (x, y) on the parabola.
(a) express the area a of the rectangle in terms of x.
(b) if x = 1, the rectangle has base 2 and height 35. find the base of a second rectangle that has the same area.

Ataxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile, or f = $2.25 + $0.20(m - 1) where f is the fare and m is the number of miles. if juan's taxi fare was $6.05, how many miles did he travel in the taxi? if juan's taxi fare was 7.65, how many miles did he travel in taxi

Look at arnold's attempt to solve the equation for b: 3b = 12 b = 3 · 12 b = 36 describe the mistake that arnold made.

If f (x) = 2x2 +5/(x-2), complete the following statement: f(6) =