Given:
The function is:

This function is stretched by a factor of 9 to g(x).
To find:
The equation of function function g(x).
Solution:
The vertical stretch is defined as:
...(i)
If
, then the function f(x) compressed vertically by factor k.
If
, then the function f(x) stretched vertically by factor k.
The given function f(x) is stretched by a factor of 9 to g(x). So the value of k is 9.
Substituting
in (i), we get

![[\because f(x)=x^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E2%5D)
Therefore, the required function is
.
Answer:
I'm not sure what the question is asking here
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
Answer:
16.5?
Step-by-step explanation:
It's halfway between 16 and 17?