17) a soccer ball is kicked into the air. its height above the ground can be approximated
by using the equation h = -3t2 + 15t, where h is the height above the ground in
meters and t is the time in seconds.
a) what are the zeros of this relation?
b) when does the ball hit the ground?
c) when does the ball reach its maximum height?
d) what is the maximum height of the ball?
18) pyranha kayaks models its profit, p in hundred thousands of dollars, using the
relation p=-2x2 + 28x – 90 where x is the number of kayaks sold in hundreds.
a) find the profit if the company sells 550 kayaks.
b) find the number of kayaks pyranha needs to sell in order to simply break-even.
c) how many kayaks do they need to sell to make their maximum profit?
d) what is the maximum profit?

a

step-by-step explanation:

i think the answer would be c

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.