![McSporter](/avatars/40000.jpg)
McSporter
06.12.2019 •
Mathematics
Which intervals show f(x) decreasing? check all that apply.
Solved
Show answers
More tips
- F Family and Home Do Lullabies Help Babies Sleep or Is it Just a Myth?...
- H Health and Medicine Tick Traps: How to Remove Them Safely and Effectively...
- S Society and Politics Why are thugs called gopniks ? A fascinating journey through Russian subculture...
- A Animals and plants Want a Perfect Lawn? Learn How to Plant Grass the Right Way...
- A Animals and plants How to Properly Care for a Pet Decorative Rabbit at Home?...
- C Computers and Internet How to Check the Speed of My Internet?...
- 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?...
Answers on questions: Mathematics
- M Mathematics for part A the answers the choices are after or before for part B the choices are 225 and 260 and for part c the choices are 80 and 120...
- M Mathematics Find the value of x:...
- M Mathematics My grandmother’s cookie recipe uses 4 cups of sugar to make 35 cookies. My Uncle’s cookie recipe uses 3 cups of sugar to make 28 cookies. Whose cookies are sweeter?...
- M Mathematics Identify the vertex of the graph. Tell whether it is a minimum or maximum. A (0, -1); maximum B (0, -1); minimum C (-1,0); minimum D (-1,0); maximum...
- M Mathematics Which set of measures can NOT be used to form a triangle? A.) 10°, 40°, 130° B.) 55°, 60°, 65° C.) 10 cm, 24 cm, 26 cm D.)14 cm, 18 cm, 32 cm...
- S Social Studies research the history of the civil war in sudan. create on infographic that presents important facts and statistics about the war a visually appealing manner. right in...
- B Business Two characteristics of democratictwo characteristics of autocratic...
Ответ:
Part A
The two equations are;
d = 3 m/s × t for Boat A
d = 4.8 m/s × (t - 6 s) for Boat B
Part B
The solution to the system of equation are
t = 16 s and d = 48 m
Part C: The possible values of 't' for Boat A are 0 ≤ t ≤ ∞
The possible values of 't' for Boat B are 6 ≤ t ≤ ∞
Boat B timing starts when Boat B crosses the start line when t = 6 seconds
The solution of the system of equation indicates that Boat B and Boat A arrive at the same point, 'd' 48 meters from the start, 16 seconds from the time Boat A crosses the stat line
Step-by-step explanation:
The given parameters are;
The speed of Boat A = 3 m/s
The speed of Boat B = 4.8 m/s
The time Boat B crosses the start line = 6 seconds after Boat A crosses the start line
Part A
The two equations are;
For Boat A
d = 3 m/s × t...(1)
For Boat B
d = 4.8 m/s × (t - 6 s)...(2)
Where;
t = The time in seconds since Boat A crossed the start line
d = The distance traveled by the boat in meters
Part B
The system of equations from Part A is solved as follows;
d = 3 m/s × t and d = 4.8 m/s × (t - 6 s)
At the (common) solution point to the system of equation, we have;
d = 3 m/s × t, d = 4.8 m/s × (t - 6 s)
∴ 3 m/s × t = 4.8 m/s × (t - 6 s)
3·t m/s = 4.8·t m/s - 28.8 m
3·t m/s + 28.8 m = 4.8·t m/s
4.8·t m/s = 3·t m/s + 28.8 m; By transitive property of equality
4.8·t m/s - 3·t m/s = 28.8 m
1.8·t m/s = 28.8 m
t = 28.8 m/(1.8 m/s) = 16 s
t = 16 s.
d = 3 m/s × t = 3 m/s × 16 s = 48 m
d = 48 m
The solution of the system of equation is t = 16 s, d = 48 m
Part C: The possible values of 't' for Boat A are 0 ≤ t ≤ ∞
The possible values of 't' for Boat B are 6 ≤ t ≤ ∞
The timing variable, 't' for the equations of Boat A and Boat B is with reference to the time which Boat A crosses the start line, which is 6 seconds before Boat B, therefore, Boat B crosses the start line when t = 6 seconds
The solution of the system of equation represents that Boat B reaches Boat A at a point 48 meters from the start, 16 seconds from the time Boat A crosses the stat line.