Given:
The two functions are:
![f(x)=x^2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2)
![g(x)=\left(\dfrac{1}{3}x\right)^2](https://tex.z-dn.net/?f=g%28x%29%3D%5Cleft%28%5Cdfrac%7B1%7D%7B3%7Dx%5Cright%29%5E2)
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If
, the function f(x) is horizontally stretched by factor
.
If
, the function f(x) is horizontally compressed by factor
.
We have,
![f(x)=x^2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2)
![g(x)=\left(\dfrac{1}{3}x\right)^2](https://tex.z-dn.net/?f=g%28x%29%3D%5Cleft%28%5Cdfrac%7B1%7D%7B3%7Dx%5Cright%29%5E2)
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
![k=\dfrac{1}{3}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B1%7D%7B3%7D)
Since
, the function f(x) is horizontally stretched by factor
.
Hence, the correct option is D.
948÷237=4
4×100=400
2×400=800(200%)
4×37=148 (37%)
800+148=948 (237%)
237%of 400 is 948
Answer:A
=
a
+
b
2
h
Step-by-step explanation:
Given:
The number of members in an organization since the year 2000 can be represented by the function
![m(x)=x^2+42x+5](https://tex.z-dn.net/?f=m%28x%29%3Dx%5E2%2B42x%2B5)
where, x represents the number of years after 2000.
To find:
The statement which best describes the term 5.
Solution:
We have,
![m(x)=x^2+42x+5](https://tex.z-dn.net/?f=m%28x%29%3Dx%5E2%2B42x%2B5)
It is clear that 5 is a constant because it is free from variable x.
At x=0,
![m(0)=(0)^2+42(0)+5](https://tex.z-dn.net/?f=m%280%29%3D%280%29%5E2%2B42%280%29%2B5)
![m(0)=5](https://tex.z-dn.net/?f=m%280%29%3D5)
It means, 5 is the initial number of members in the organization.
Therefore, there are 5 members in the organization in year 2000.
Step-by-step explanation: (Answers in bold )
24-(-14) using the keep change change rule you get 24 +14 = 38
-9*-5 =45 (negative times a negative = a positive )
31+x=15x subtract x from both sides
31=14x divide by 14
31/16 ---or---> 2.21
2x+5= 15x subtract 2x from both sides
5=13x divide by 13
5/13 or-------> 0.38
hope this helps (^_^)