![megamegs80](/avatars/7384.jpg)
megamegs80
09.12.2019 •
Mathematics
Rocket a; y=-6x^2+96x. rocket b: y=-4c^2+80x. rocket. —- reaches a maximum height that is greater than the maximum height of rocket ——/
Solved
Show answers
More tips
- D Dating, Love, Relationships How Long Can Love Last?...
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- C Computers and Internet How to Properly Order Clothing from International Online Stores...
- H Health and Medicine Headache: A Comprehensive Guide to Treatment...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- A Auto and Moto Discovering the Leader: What is the Most Expensive Car in the World?...
- F Food and Cooking How to Quickly Put your Child to Sleep?...
- C Computers and Internet How to Create a Website for Free and Easy?...
- F Family and Home Parquet or laminate, which is better?...
- H Health and Medicine Coughing: Causes, Types, and Treatment Methods...
Answers on questions: Mathematics
- M Mathematics Researchers conducted an experiment to study the effects of sleep training on sleep duration and quality. They randomly assigned some participants to a treatment condition where...
- C Computers and Technology A(n)- is a group of senior managers from the major business functions that worl a with the cio to set is priorities and decide among major is projects and alternatives. a) steering...
- E English Trump is good, prove me wrong :0...
- C Chemistry What is the oxidation number of iron in FeO?...
Ответ:
Rocket. B reaches a maximum height that is greater than the maximum height of Rocket A/
Step-by-step explanation:
Notice that both expressions for the rockets' height are parabolas with branches pointing down (they both have a negative leading coefficient), so in order to find the maximum altitude they reach, we just need to find the y-value associated with the vertex of those parabolas.
Recall that the x-value of the parabola's vertex for a parabola of the form
is: ![x_{vertex}=-\frac{b}{2a}](/tpl/images/0410/2796/24db3.png)
therefore, analyzing each rocket trajectory at a time, we get:
Rocket A:
Then we evaluate the rocket's position expression for x = 8:
Rocket B:
Then we evaluate the rocket's position expression for x = 10:
Therefore, rocket B reaches a greater maximum height than rocket A
Ответ: