Answer with explanation:
The given function is
y=f(x)=x³ -5
Function with Translation
![1.\rightarrow f(\frac{x}{5})=[\frac{x}{5}]^3-5\\\\y_{1}=\frac{x^3}{125}-5\\\\2..\rightarrow f(x-5)=(x-5)^3-5\\\\y_{2}=x^3-5^3-3x^2\times 5+3 x \times 5^2-5\\\\y_{2}=x^3-15 x^2+75 x-130 \\\\3.\rightarrow f(x)+10=x^3-5+10\\\\y_{3}=x^3+5\\\\4.\rightarrow f(5 x-2)=(5 x-2)^3-5\\\\y_{4}=(5 x)^3-(2)^3-3 \times (5 x)^2 \times 2+3 \times (5 x) \times (2)^2-5\\\\y_{4}=125 x^3-8-150 x^2+60 x-5\\\\y_{4}=125 x^3-150 x^2+60 x-13](https://tex.z-dn.net/?f=1.%5Crightarrow%20f%28%5Cfrac%7Bx%7D%7B5%7D%29%3D%5B%5Cfrac%7Bx%7D%7B5%7D%5D%5E3-5%5C%5C%5C%5Cy_%7B1%7D%3D%5Cfrac%7Bx%5E3%7D%7B125%7D-5%5C%5C%5C%5C2..%5Crightarrow%20f%28x-5%29%3D%28x-5%29%5E3-5%5C%5C%5C%5Cy_%7B2%7D%3Dx%5E3-5%5E3-3x%5E2%5Ctimes%205%2B3%20x%20%5Ctimes%205%5E2-5%5C%5C%5C%5Cy_%7B2%7D%3Dx%5E3-15%20x%5E2%2B75%20x-130%20%5C%5C%5C%5C3.%5Crightarrow%20f%28x%29%2B10%3Dx%5E3-5%2B10%5C%5C%5C%5Cy_%7B3%7D%3Dx%5E3%2B5%5C%5C%5C%5C4.%5Crightarrow%20f%285%20x-2%29%3D%285%20x-2%29%5E3-5%5C%5C%5C%5Cy_%7B4%7D%3D%285%20x%29%5E3-%282%29%5E3-3%20%5Ctimes%20%285%20x%29%5E2%20%5Ctimes%202%2B3%20%5Ctimes%20%285%20x%29%20%5Ctimes%20%282%29%5E2-5%5C%5C%5C%5Cy_%7B4%7D%3D125%20x%5E3-8-150%20x%5E2%2B60%20x-5%5C%5C%5C%5Cy_%7B4%7D%3D125%20x%5E3-150%20x%5E2%2B60%20x-13)
Based on Pythagoras' theorem, EB is equal to 38.7 and DY is 17.7.
<h3>What is the length of the sides EB and DY?</h3>
The length of the sides EB and DY are obtained using Pythagoras theorem.
Since EY is a perpendicular bisector;
EB = √(64.2² - 51.2²)
EB = 38.7
Since, DY is a perpendicular bisector;
DY = √64.2² - 61.7²)
DY = 17.7
Therefore, EB is equal to 38.7 and DY is 17.7.
Learn more about Pythagoras theorem at: brainly.com/question/343682
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Answer:
9.4
Step-by-step explanation:
The net income for theis company is $216,060
The average total assets is 2,290,000
Therefore the return on total assets is
= 216,060/2,290,000
= 0.0943×100
=9.4
Answer:
the answer is actually 23 people
Step-by-step explanation:
Bill Nye's birthday paradox can be explained in the following manner:
first we must find the probability that in a room with 23 people, no two people have the same birthday
probability of no two people having the same birthday = 365/365 x 364/365 x 363/365 x 362/365 ... you keep multiplying until 343/365 = 0.492703
so the probability that in a room with 23 people, no two people have the same birthday = 49.2703%
the probability of two people having the same birthday = 1 - probability of no two people having the same birthday = 1 - 49.2703% = 50.7297%
