Question #1) jeremy determines that √9= 9^1/2. part of his work is shown √9=3=3^1=3^1/2 + ^1/2==9^1/2 which expression or equation should be placed in the blank to correctly complete jeremy's work? a: (3^2)^1 b: 3^1/2 + 3^1/2 c: 3^1/2 x 3^1/2= (3x3)^1/2 d: 3^1/2 x 3^1/2= (3x3)^1/2+^1/2 question #2) a bird drops a stick from the top of miami tower. the height of the stick after x seconds is given by f(x) = 625-16x^2. select all the correct interpretations of the coordinates of the point at the maximum of the function f(x). a: the time it takes the stick to hit the ground b: the time when the stick is at its highest point c: the height of the stick when it is dropped from miami tower d: the time when the stick is dropped from the top of miami tower e: the distance of the stick from miami tower when it hits the ground.

Answer with explanation:

1.

The Identity Wrote by Jeremy

To prove this identity , his work is as follows

Used the following law of indices

Option C

2.

Height of stick after x seconds is given by

   f(x)=625 -16 x²

Replacing , f(x) by , y in the above equation

 y= 625 -16 x²

16 x²= - (y-625)

→when x=0, y=625

Coordinates of vertex = (0, 625)

⇒Maximum of the function is given by , when time , x=0,

Maximum height = 625

Following are  the correct interpretations of the coordinates of the point at the maximum of the function f(x).

B: The time when the stick is at its highest point.

C: The height of the stick when it is dropped from Miami Tower.

E: The distance of the stick from Miami Tower when it hits the ground.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!