John boards a ferris wheel at the 3-o'clock position and rides the ferris wheel for multiple revolutions. the ferris wheel rotates at a constant angular speed. let h represent john's height above the center of the ferris wheel (in feet) and let t represent the number of mintues since the ride started. a. suppose the radius of the ferris wheel is 20 feet and the ferris wheel rotates at 1 radian per minute. plot the relationship between h and t for this scenario. 20- 1o -10 -20 ear all draw: b. now, suppose the radius of the ferris wheel is 20 feet and the ferris wheel rotates at 2 radians per minute. plot the relationship between h and t for this scenario. 30 20- 10 10 20 ear all draw c. now, suppose the radius of the ferris wheel is 25 feet and the ferris wheel rotates at 2 radians per minute. plot the relationship between h and t for this scenario. 30 20 10 20 r all draw:

d. vertex

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

cool? what is the actuall ?

step-by-step explanation: