Using translation concepts, it is found that the equation that represents the new function is:
The cube root parent function is given by:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
<h3>Translation:</h3>
The function goes through these following translations:
- Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence
.
- Reflected over the x-axis, that is, it is multiplied by -1, hence
.
- Translated 8 units down, that is, 8 is subtracted from the function, hence
.
Then, the equation is:
To learn more about translation concepts, you can take a look at brainly.com/question/13671886
Answer:
<u>2,365,200,000 times</u>
Step-by-step explanation:
<u>Given</u> :
- Average heartbeat rate = 60 times/minute
- Avg. human lifespan = 75 years
<u>To Find</u> :
- Number of heartbeats in lifetime of 75 years
<u>Solving</u> :
- Let the number we require be n
- n = average heartbeat rate x 60 x 24 x 365 x 75
- n = 60 x 60 x 24 x 365 x 75
- n = 3600 x 24 x 365 x 75
- n = 86400 x 365 x 75
- n = 31536000 x 75
- n = <u>2,365,200,000 times</u>
Answer:
2x^2-7x-4
Step-by-step explanation:
=2x^2-8x+x-4
=2x^2-7x-4
The sum of the first four composite numbers is 27. ( 4+6+8=9)