Will mark brainliest
samar serves a volleyball over a net at an initial height of 5 feet with a velocity of 100 feet per second. this can be represented by the function h(t) = −16t2 + 100t + 5. if the other team misses, about how long does it take the ball to hit the ground?
a. 0.05 seconds
b. 1.59 seconds
c. 6.30 seconds
d. 7.89 seconds

The answer is 6.30 seconds, you can find this by graphing the equation. you can use desmos for help graphing digitally if you have to.

The Answer is 6.30

I'm just putting this so you can mark the dude that put the answer first. mark them brainliest because this helped a lot.

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!