Function transformation involves changing the form of a function
The equation that represents the function f(x) is ![f(x) = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
<h3>How to determine the equation</h3>
The parent cube root function is:
![y = \sqrt[3] {x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%20%7Bx%7D)
When the function is translated 6 units left, the equation of the function becomes
![y = \sqrt[3] {x + 6}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D)
Next, the function is translated 1 unit up.
So, the equation of the function becomes
![y = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
Express as a function
![f(x) = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
Hence, the equation that represents the function f(x) is ![f(x) = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
Read more about function transformation at:
brainly.com/question/1548871
2/3 is 6/9 so 2/9 was poured out...
if 4 gallons is 2/9ths it would be
4*2+2
8+2
10gallons
Answer:
approximately 9 hours
Step-by-step explanation:
Just take three out of 60 untill you reach the closest thing to 32
The answer is 0.08.
The word "is" in mathematics is another word for "equal to".
The word "of" in mathematics is another word for multiplication.
Let's keep the answer as x.
0.008 = 1/10 * x
1/10x = 0.008
x = 0.08
Answer:
65.5 feet per second
Step-by-step explanation:
In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...
6,039 - 3,288 = 2,751 ft
Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.
2,751 ft / 42s = 65.5 ft/s
Finally we can see that the rate of descent was 65.5 feet per second