![quinteroalex2001](/avatars/16710.jpg)
quinteroalex2001
18.12.2020 •
Mathematics
A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?
x(t) = sin(60o)t + 44 and y(t) = –16t2 + cos(60o)t + 44
x(t) = cos(60o)t + 44 and y(t) = –16t2 + sin(60o)t + 44
x(t) = 44sin(60o)t and y(t) = –16t2 + 44cos(60o)t
x(t) = 44cos(60o)t and y(t) = –16t2 + 44sin(60o)t
Solved
Show answers
More tips
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- W Work and Career How to Write a Resume That Catches the Employer s Attention?...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics 1.6 Differentiate betwe QUESTION 1: Phiwokazi plan to bake 12 dozen peanut butter cookies. She will use a recipe in imperial units. The cookies are baked at 360°F for 20 minutes....
- M Mathematics Atriangular prism is attached to a rectangular prism as shown below. if w = 8 inches, x = 5 inches, y = 20 inches, and z = 11.3 inches, what is the surface area of the figure?...
- M Mathematics Joe left the park to go home at 5: 00 pm. he was traveling east at 15 mph. two hours later, mark left the park heading east to try to catch up with joe because joe had forgotten...
- P Physics Water that has been used, but is still able to be recycled, is called a. blackwater b. graywater c. plant water d. white water...
- M Mathematics Please help asap…………...
- M Mathematics Zaira starts saving for college by opening a savings account and depositing $50. she plans to make a deposit every month to continue saving. the amount of money in zaira s...
Ответ:
For your question: A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?
After doing the math in my notebook, I got the answer D.
Please let me know if you have any other questions down below.
Ответ:
see below
Step-by-step explanation:
A. f(x) = 4x^2 - 7x - 15
We need the numbers to multiply to- 15
1*15 and 3*5
One of the terms multiplies by 4 (or 2)
Try 4 first
4*-3 +5 = -7 That works
-3+5 = -15
f(x) = (4x+5)(x-3)
B. We want the x intercepts so set equal to 0
0 = (4x+5)(x-3)
Using the zero product property
0 = 4x+5 x-3 =0
-5 = 4x x=3
-5/4 =x x=3
C End behavior
Let x be negative infinity
The function is dominate by 4x^2
f(-∞) = 4 ( -∞) ^2 = 4 (∞) = ∞
At negative infinity the functions goes to infinity
Let x be infinity
The function is dominate by 4x^2
f(∞) = 4 ( ∞) ^2 = 4 (∞) = ∞
At infinity the functions goes to infinity
Part D:
We know the zeros at 3 and -5/4
We know the vertex is at halfway between the zeros
(3 -5/4) /2 = 7/4 /2 = 7/8
Since the parabola opens up (The coefficient of the x^2 term is positive), we know we have a minimum.
f(7/8) = 4 (7/8)^2 -7(7/8) -15 = 4(49/64) -1/8 -15 =-289/16
We know the minimum the zeros and the end behavior, we can graph the functions