Answer:
5/9 is an example of rational number.
Step-by-step explanation:
as the definition of rational number is the number in the form of p/q but the value of denominator q should not be equal to 0. Every integer is a rational number.
Answer: The slope is 3.
Explanation: the slope is three because every point goes up by three (and over to the right one) in order to get to the next point on the graph
7 books
Because
30-2 is 28
28/4 is 7
With no left over money
Step-by-step explanation:
![\frac{1}{9} \times 360 \degree = 40 \degree](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B9%7D%20%20%5Ctimes%20360%20%5Cdegree%20%3D%2040%20%5Cdegree%20)
The equation of g(x) is ![g(x)=2 x^{2}+16](https://tex.z-dn.net/?f=g%28x%29%3D2%20x%5E%7B2%7D%2B16)
Explanation:
Given that the function f(x) is ![f(x)=\frac{1}{2} x^{2}+4](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B2%7D%20x%5E%7B2%7D%2B4)
Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.
We need to determine the equation of g(x)
<u>Equation of g(x):</u>
The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).
Thus, we have,
![g(x)=4 f(x)](https://tex.z-dn.net/?f=g%28x%29%3D4%20f%28x%29)
Substituting the values,we have,
![g(x)=4\left(\frac{1}{2} x^{2}+4\right)](https://tex.z-dn.net/?f=g%28x%29%3D4%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%20x%5E%7B2%7D%2B4%5Cright%29)
Simplifying the values, we get,
![g(x)=2 x^{2}+16](https://tex.z-dn.net/?f=g%28x%29%3D2%20x%5E%7B2%7D%2B16)
Hence, the equation of g(x) is ![g(x)=2 x^{2}+16](https://tex.z-dn.net/?f=g%28x%29%3D2%20x%5E%7B2%7D%2B16)