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 .
The distance between the two endpoints is :
14.212 or about 14.21 ( rounded to the nearest hundredth)
Answer:
1. 18.84 in
2. 56.52 cm
Step-by-step explanation:
The circumference of a circle is the distance around the circle. Its found using the formula C = πd or C=2πr. The variable d represents the diameter or the distance from one edge of the circle to the other through the cent. The variable r represents the radius of a circle or the distance from one edge to the center. Use the formula by substituting a diameter or radius then simplify.
1. C = πd = π(6) = 3.14(6) = 18.84 in
2. C = 2πr = 2(3.14)(9) = 56.52 cm
Answer: 1999 perfect squares between 1,000,000 and 9,000,00
Step-by-step explanation:
Sq root of 1,000,000 is 1000 and square root of 9,000,000 is 3000
Hence there are squares of 1001 to 2999 I. e. 1999 perfect squares between 1,000,000 and 9,000,00
Answer:
I love you 6.78
Step-by-step explanation:
You have to love yourself
- 5x
-6 x 45
6.78
