The answer to the question is 2
Answer:
I'm really going to say false im not sure, I just started learning this.
Step-by-step explanation:
Answer: The value of 'h' is 3.
Step-by-step explanation: Given that the vertex form of a function is given by
![g(x)=a(x-h)^2+k~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://tex.z-dn.net/?f=g%28x%29%3Da%28x-h%29%5E2%2Bk~~~~~~~~~~~~~~~~~~~~~~~~%28i%29)
We are to find the value of 'h' when the following function is converted to the vertex form.
![g(x)=x^2-6x+14~~~~~~~~~~~~~~~~~~~~~~(ii)](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2-6x%2B14~~~~~~~~~~~~~~~~~~~~~~%28ii%29)
From equation (ii), we have
![g(x)=x^2-6x+14\\\\\Rightarrow g(x)=x^2-2\times x\times 3+3^2-3^2+14\\\\\Rightarrow g(x)=(x-3)^2-9+14\\\\\Rightarrow G(x)=(x-3)^2+5.](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2-6x%2B14%5C%5C%5C%5C%5CRightarrow%20g%28x%29%3Dx%5E2-2%5Ctimes%20x%5Ctimes%203%2B3%5E2-3%5E2%2B14%5C%5C%5C%5C%5CRightarrow%20g%28x%29%3D%28x-3%29%5E2-9%2B14%5C%5C%5C%5C%5CRightarrow%20G%28x%29%3D%28x-3%29%5E2%2B5.)
Comparing it with the vertex form (i), we get
![h=3.](https://tex.z-dn.net/?f=h%3D3.)
Thus, the value of 'h' is 3.
Answer:
50 employees
Step-by-step explanation:
The total number of employees the business has will have to be made up the full-time employees and part-time employees.
The number of full-time employees = 15
Let the total number of employees = x
![15 = 30 percent of x](https://tex.z-dn.net/?f=15%20%3D%2030%20percent%20of%20x)
![15 = 30/100 \times x\\x=1500/30 = 50](https://tex.z-dn.net/?f=15%20%3D%2030%2F100%20%5Ctimes%20x%5C%5Cx%3D1500%2F30%20%3D%2050)
The company has a total of 50 employees