For a;
For b;
If my calculations are incorrect, then sorry ;/
- <u><em>❤ 7272033Alt ❤</em></u>
9514 1404 393
Answer:
- f(x) = x
- g(x) = -2x+1
- f(x) -(-g(x)) = -x+1
- f(x) +g(x) = -x+1
- f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not
Step-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.
Your answers is
x equals 7
Answer:
Step-by-step explanation:
VC = (1/3)·pi·r2·h
VC = volume of a cone
r = radius of base of cone = 6 cm
h = height
VC = (1/3)·pi·62·h
VC = 12·pi·h
VS = (4/3)·pi·r3
VS = volume of a sphere
r = radius of base of sphere = 3 cm
VS = (4/3)·pi·33
VS = 36·pi
Since the volume of the cone and the sphere are equal:
VC = VS
12·pi·h = 36·pi
Solve for h.
