Answer:
1. ![\( f\circ g(x)=0.05x-150](https://tex.z-dn.net/?f=%5C%28%20f%5Ccirc%20g%28x%29%3D0.05x-150)
2. ![\( g\circ f(x)=0.05x-3000](https://tex.z-dn.net/?f=%5C%28%20g%5Ccirc%20f%28x%29%3D0.05x-3000)
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
- f(x) = 0.05x
- g(x) = x - 3000
![f(g(x)=0.05(x - 3000)](https://tex.z-dn.net/?f=f%28g%28x%29%3D0.05%28x%20-%203000%29)
![f(g(x))=0.05x-150](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D0.05x-150)
2. The composition of the function
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:
![g(f(x))=((0.05x)-3000)=0.05x-3000](https://tex.z-dn.net/?f=g%28f%28x%29%29%3D%28%280.05x%29-3000%29%3D0.05x-3000)
3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one:
![f(g(x)=0.05(x - 3000)](https://tex.z-dn.net/?f=f%28g%28x%29%3D0.05%28x%20-%203000%29)
![f(g(x))=0.05x-150](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D0.05x-150)
Then one pencil costs about 2.14 cents.
<span>Entonces un lápiz cuesta alrededor de 2.14 centavos.</span>
Answer:
(12,12)
Step-by-step explanation:
For the x coordinate you add 4 to 8, and get 12.
For the y coordinate you subtract 8 from 20 to get 12.
So it would read (x + 4, y -8) -> (12,12)
No. of people don't like to be teacher
= 100% - 75% = 25%
<h3>
![\frac{25}{100} \times 60 \\ = 15](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%7D%7B100%7D%20%20%5Ctimes%2060%20%5C%5C%20%20%3D%2015)
</h3>
So, 15 number of students doesn't like to be teacher
Answer:
5 Outer and 1 lone pair
Step-by-step explanation:
A square pyramidal shape results when one of the bonds of an octahedron structure is occupied by a lone pair.
Hence there are 5 bonded atoms and one lone pair. The hybridization about the central atom is
.
One of the most common example is Xenon tetraflouride.
. Looking at its structure we can see that it has 5 pairs of outer atoms and one lone pair. With its coordination number 5. The shape of the orbitals is octahedral.