![garacey241](/avatars/27172.jpg)
garacey241
23.11.2019 •
Mathematics
After applying the composition r0.90 ry to rs what are the coordinates of r1 and s1?
Solved
Show answers
More tips
- F Family and Home How to Choose Suitable Windows for Your Home?...
- C Computers and Internet Why is Yandex s robot Bless.yandex.ru Important?...
- F Food and Cooking Fresh and Easy Lemonade in 10 Minutes...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- A Animals and plants How to Grow Lime from a Seed: Simple Tips and Interesting Facts...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
Answers on questions: Mathematics
- M Mathematics 2x - y = 11 6x – 3y = 15 solve for x and y using elimination...
- M Mathematics Manny bought an m number of mangoes and a p number of pineapples. mangoes cost $0.50 each, and pineapples cost $1.25 each....
- M Mathematics Which value of x makes the equation -2(x+3)=5-0.5(x+4) true?...
- M Mathematics How do i solve -5(k+2)=13-(k-1)...
- M Mathematics Whats 1 and 2 true false true/false...
- M Mathematics A truck can be rented from Company A for $90 a day plus $0.20 per mile. Com of miles in a day at which the rental costs for Company A and Company B are 30$ a day...
- M Mathematics Need helpppppppppppppppppp...
- M Mathematics Which two functions always Which two functions always share the domain (-∞, ∞) and range (-∞, ∞)? linear absolute value quadratic exponential reciprocal cubic cube...
- M Mathematics Larry plans to invest $275,000 for 30 years at an anticipated rate of 6% per annum compounded yearly. What is his approximate ending balance? A=P (1+r)t...
- M Mathematics Can I get help graphing the circle one Plsssss...
Ответ:
The coordinates of image are R'(1,3) and S'(5,3).
Step-by-step explanation:
From the given figure it is clear that the coordinates of the points R and S are R(-3,-1) and S(-3,-5).
The composition
means the figure reflected across y-axis and then rotate 90 degree counterclockwise about the origin.
If a figure reflected across y-axis then
If a figure rotate 90 degree counterclockwise about the origin, then
Therefore the coordinates of image are R'(1,3) and S'(5,3).
Ответ:
Question:
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 16
g of x equals the square root of the quantity 5 x cubed
f(g(x))=
Step-by-step explanation:
Given:
f(x) =![2x^2 + 16](/tpl/images/0452/7110/8231c.png)
g(x) =![\sqrt{(5x^3)}](/tpl/images/0452/7110/0aec6.png)
f(x) represents the amount of money Raul earns per ticket
x is the number of tickets he sells
g(x) represents the number of tickets Raul sells per hour
To find:
f(g(x)) = ?
Solution:
f(g(x)) represent the amount Raul earns by selling tickets for x hours
We know,
f(x) =![2x^2 + 16](/tpl/images/0452/7110/8231c.png)
f(g(x)) =![2(\sqrt{(5x^3)} )^2 +16](/tpl/images/0452/7110/e19e4.png)
The square root and power 2 cancel each other
f(g(x)) =![2(5x^3 ) +16](/tpl/images/0452/7110/3fc1a.png)
f(g(x)) =![10x^3 +16](/tpl/images/0452/7110/234f2.png)
So at x hours
Raul earns![10x^3 +16](/tpl/images/0452/7110/234f2.png)
For example lets assume Raul works for 5 hours, then the amount he earns will be
f(g(x)) =![10(5)^3 +16](/tpl/images/0452/7110/9bd32.png)
f(g(x)) = 10(125) +16
f(g(x)) = 1250 +16
f(g(x)) = 1266
You can also find the amount Raul earns by
g(x) =![\sqrt{(5(5)^3)}](/tpl/images/0452/7110/ae169.png)
g(x) =![\sqrt{625}](/tpl/images/0452/7110/6cb61.png)
g(x) = 25
Substituting in f(x)
f(g(x)) = f(25)
f(25) =![2(25)^2 + 16](/tpl/images/0452/7110/a01c8.png)
f(25) = 2(625) +16
f(25) = 1250 + 16
f(25) = 1266
so Raul will be earning 1266 if he sells tickets for 5 hours