Using the table, we will see that the function is:
t(l) = 3*l
<h3>
How to write the function?</h3>
Here we only have a table to work with, so we need to use that.
In the table, we can see the pairs:
- t(1) = 3
- t(2) = 6
- t(3) = 9
- t(4) = 12
So, in each new level, we just add 3 more toothpicks. Even more, we can see that the number of toothpicks is 3 times the value of l (the level) for all the cases in the table. So this is a linear function.
From that we can conclude that the function will be:
t(l) = 3*l
If you want to learn more about linear functions, you can read:
brainly.com/question/4025726
Answer: $1100
Step-by-step explanation:
The employer contributes, along with Melissa, in the ratio of 1:2
Up to 6% of $55000, therefore 6/100 x 55000 = 3300
Split in the ratio of 1:2, she will contribute 1/3 of 3300 = 1100
and the employer will contribute 2/3 of 3300 = 2200
Step-by-step explanation:
in newton rapson method
![x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}](https://tex.z-dn.net/?f=x_%7Bn%2B1%7D%3Dx_%7Bn%7D-%5Cfrac%7Bf%5Cleft%28x_%7Bn%7D%5Cright%29%7D%7Bf%5E%7B%5Cprime%7D%5Cleft%28x_%7Bn%7D%5Cright%29%7D)
Let ![n=n-1](https://tex.z-dn.net/?f=n%3Dn-1)
![x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}](https://tex.z-dn.net/?f=x_%7B%28n-1%29%2B1%7D%3Dx_%7Bn-1%7D-%5Cfrac%7Bf%5Cleft%28x_%7Bn-1%7D%5Cright%29%7D%7Bf%5E%7B%5Cprime%7D%5Cleft%28x_%7Bn-1%7D%5Cright%29%7D)
![x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}](https://tex.z-dn.net/?f=x_%7Bn%7D%3Dx_%7Bn-1%7D-%5Cfrac%7Bf%5Cleft%28x_%7Bn-1%7D%5Cright%29%7D%7Bf%5E%7B%5Cprime%7D%5Cleft%28x_%7Bn-1%7D%5Cright%29%7D)
Given:
![|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|](https://tex.z-dn.net/?f=%7C3%2B4%20i%7C%2B%7C3-4%20i%7C%2B%7C-3%2B4%20i%7C%2B%7C-3-4%20i%7C)
Solution:
Complex formula:
![|a+b i|=\sqrt{(a+b i)(a-b i)}=\sqrt{a^{2}+b^{2}}](https://tex.z-dn.net/?f=%7Ca%2Bb%20i%7C%3D%5Csqrt%7B%28a%2Bb%20i%29%28a-b%20i%29%7D%3D%5Csqrt%7Ba%5E%7B2%7D%2Bb%5E%7B2%7D%7D)
Let us simplify one by one.
![|3+4 i|=\sqrt{3^{2}+4^{2}}](https://tex.z-dn.net/?f=%7C3%2B4%20i%7C%3D%5Csqrt%7B3%5E%7B2%7D%2B4%5E%7B2%7D%7D)
![=\sqrt{25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%7D)
|3 + 4i| = 5
![|3-4 i|=\sqrt{3^{2}+(-4)^{2}}](https://tex.z-dn.net/?f=%7C3-4%20i%7C%3D%5Csqrt%7B3%5E%7B2%7D%2B%28-4%29%5E%7B2%7D%7D)
![=\sqrt{25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%7D)
|3 - 4i| = 5
![|-3+4 i|=\sqrt{(-3)^{2}+4^{2}}](https://tex.z-dn.net/?f=%7C-3%2B4%20i%7C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B4%5E%7B2%7D%7D)
![=\sqrt{25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%7D)
|-3 + 4i| = 5
![|-3-4 i|=\sqrt{(-3)^{2}+(-4)^{2}}](https://tex.z-dn.net/?f=%7C-3-4%20i%7C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B%28-4%29%5E%7B2%7D%7D)
![=\sqrt{25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%7D)
|-3 - 4i| = 5
Substitute these in the given expression:
![|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|=5+5+5+5](https://tex.z-dn.net/?f=%7C3%2B4%20i%7C%2B%7C3-4%20i%7C%2B%7C-3%2B4%20i%7C%2B%7C-3-4%20i%7C%3D5%2B5%2B5%2B5)
![=20](https://tex.z-dn.net/?f=%3D20)
The solution of the expression is 20.
Answer:
Step-by-step explanation:
Infinite solution