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 .
Multiply 3 by 6 to get 18 the rest of it is extra information
3*6 = 18
The next fraction in the given sequence is; 7/14
We are given the sequence;
3/14, 2/7, 5/14, 3/7.
To get the next fraction in the sequence, we have to find the pattern of the differences.
Difference between first and second term is;
2/7 - 3/14 = 1/14
Similarly, for 2nd and 3rd term;
Difference = 5/14 - 2/7
Difference = 1/14
Therefore,the next fraction in the sequence will be gotten by adding 1/14 to 3/7
Next fraction = 3/7 + 1/14
Next fraction = 7/14
Read more on arithmetic sequence at;
brainly.com/question/1145052
Answer:
x = 14
Step-by-step explanation:
First put it into slope intercept form
20 = 2x - 8
Move the variable to the left hand side and change its symbol
-2x + 20 = -8
Move the constant to the right hand side and change its symbol
-2x = -8 - 20
Calculate the difference
-2x = -28
Divide both sides of the equation by -2
x = 14
Solution
X = 14
9514 1404 393
Answer:
-203.1875
Step-by-step explanation:
The ends of the interval are ...
(-4, g(-4)) = (-4, 1023 15/16)
(1, g(1)) = (1, 8)
The average rate of change is the slope of the line between these two points:
m = (y2 -y1)/(x2 -x1)
m = (8 -(1023 15/16))/(1 -(-4)) = (-1015 15/16)/5 = -203 3/16
The average rate of change on the interval is -203 3/16.
