Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

A projectile is launched from the ground at 128 feet per second and will hit the ground after a certain amount of time. It models the function g(x) = -16x2 + 128x, where x represents the time of the of the flight (in seconds) of the projectile. What is an appropriate domain for this model? 00 0

Sagot :

[tex]g=-16x^2+128x[/tex]

time can only take values ​​greater than or equal to zero, so the domain starts on 0

the las point of the domain is when the projectile hit the ground, this means when g=0

now we will replace g=0 o find the last value of the domain

[tex]\begin{gathered} g=0 \\ -16x^2+128x=0 \end{gathered}[/tex]

solve x to know the last time

[tex]\begin{gathered} 16x(-x+8)=0 \\ -x+8=\frac{0}{16x} \\ -x+8=0 \\ -x=-8 \\ x=8 \\ \end{gathered}[/tex]

the last time in seconds of the model is 8

so the domain is

[tex]\lbrack0,8\rbrack[/tex]

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.