The polynomial function defined by f (x )equals StartFraction pi Over 3 EndFraction x cubed minus 10 pi x squared plus StartFraction 4000 pi d Over 3 EndFraction can be used to find the depth that a ball 20 cm in diameter sinks in water. The constant d is the density of the ball, where the density of water is 1. The smallest positive zero of f(x) equals the depth that the ball sinks. Approximate this depth for each material and interpret the results. a) A wooden ball with d equals 0.8 . b) A solid aluminum ball with d equals 2.7 . c) A spherical water balloon with d equals 1.

w'x is 0.

hope it

4

step-by-step explanation:

im pretty sure it's 4 beacsue 8/2 equals 4

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.

answer: -10

step-by-step explanation:

s(t) = 1 - 10t

s(x) = 1 - 10x

s(x + h) = 1 - 10(x + h)

            = 1 - 10x - 10h

s(x + h) - s(x) = 1 - 10x - 10h - (1 - 10x)

                      = 1 - 10x - 10h - 1 + 10x

                      = -10h

= -10