Answer:
a)
Step-by-step explanation:
for each point (A, B, C) reduce the 'x-value' by two and reduce the 'y-value' by 7
for example, for point A:
to find A': (-6, -7) would be (-6-2, -7-7) which is (-8, -14)
An isosceles triangle is one in which 2 angles have similar
measure while the other one is different. In this case, the 2 vertex angles
have a measure of 42 degrees, therefore the third angle which is equal to (2x +
3) is:
(2x + 3) + 42 + 42 = 180
2x + 3 = 96
<span>x = 46.5°</span>
<span>Divide 12% by 12 months to get 1% per month. Multiply by 2 months to get 2%. Multiply 1800 by 0.02 </span>
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)