The height of a ball thrown in the air can be modeled by the function h(x) = -16x2 + 32x + 6, where h(x) represents the height in feet of the ball after x seconds. The graph of this function is shown to the right
a. What do the verte, y-intercept, and x-intercept represent?
b. If the ball is thrown from a height of 10 ft. how will this transform the graph?
c. About how much longer will the ball be in the air when it is thrown from 10 ft compared to when it is thrown from 6 ft?
(Hint: You may want to use a graphing calculator to compare the two graphs
a. What does the vertex represent?
O A. The time (in seconds) it takes the ball to hit the ground
OB. The distance in feet) between the ball's maximum height and the height from which the ball is thrown
OC. The height (in feet) from which the ball is thrown
OD. The maximum height (in feet) reached by the ball and the time at which that occurs

c

step-by-step explanation:

c

it will be a cylinder. with a diameter of 8 and 4 single pieces high

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

the answer would be 0.54