Answer:
B.
f(x) and g(x) are closed under subtraction because when subtracted, the result will be a polynomial.
Step-by-step explanation:
Assume m>=n WOLOG
Are also a polynomial in general, but maybe in a different degree
Closure under subtraction means, for all polynomials, under the operation of subtraction, it also belongs to polynomials
Answer:
I used my name, lol
Step-by-step explanation:
Kat wants to use her money to support animals at a shelter after receiving her pay check from work . She pays $15 per animal, and leaves $20 for the workers. She can spend at most $130. How many animals can she help?
Solve for x
Add 20 to both sides to isolate x
Divide each side by 15
Kat can help at most 10 animals.
(I am so sorry I took so long, I couldn't come up with anything.)
Answer:
The Translation is 5 units to the right and 8 units up
Step-by-step explanation:
* Lets talk about some transformation
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Now lets solve the problem
∵ The parent function is y = (0.5)^x
∵ f(x) = (0.5)^x - 5 + 8 after translation
- The x in the first function is (x - 5) in the second function
∴ There is a horizontal translation to the right 5 units
- the first function is (0.5)^x in the second function y = (0.5)^x - 5 + 8
∴ There is a vertical translation up 8 units
* The Translation is 5 units to the right and 8 units up
- Look to the attached graph to more understand
- The purple graph is y = (0.5)^x
- The black graph is f(x) = (0.5)^x-5 + 8
- To check the answer take a point from the y = (0.5)^x as (0 , 1), the
image of this point on f(x) is (5 , 9)
-The point (0 , 1) is shifted 5 units to the right and 8 units up
∴ Its x- coordinate move from 0 to 5, y- coordinate move from 1 to 9
