Answer:
Horizontal stretch by a factor of ½.
Step-by-step explanation:
We were given the parent function as:
![y = \sqrt[3]{0.5x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7B0.5x%7D%20)
This was transformed to:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
Let
![g(x) = \sqrt[3]{0.5x}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7B0.5x%7D%20)
and
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
Then:

Hence the parent function has been stretched horizontally by a factor of 1/2 to obtain the transformed function.
Answer:$225 at 10% for 4 years and $80 at 75% for 18 months
Step-by-step explanation:
Answer:
Length of the rope = 15.6 ft.
Step-by-step explanation:
Given:
Height of the pole from the ground = 12 ft
Adjacent distance from the pole = 10 ft
We have to find the length of the rope attached by Scott to secure the pole.
According to the question :
In forma right angled triangle as shown in the figure.
We have to find the measure of the hypotenuse.
Length of rope = Hypotenuse measure
Let the length of the rope = "h" ft
Using Pythagoras formula.
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
⇒
ft
The length of the rope, rounded to the nearest tenth is 15.6 ft.
Answer:
The square root of -1 is i
Answer:
A) f(x) = 2x + 3
B) f(x) = x - 5
C) f(x) = 2x + 4
Step-by-step explanation:
To find - Please write the function(x) from the given rules:
A) Twice the input value plus three.
B) The input value minus five.
C) To get the output, multiply the input by two, then add four.
Proof -
Let us assume that the input = x
The output = f(x)
Now,
A)
f(x) = 2x + 3
B)
f(x) = x - 5
C)
f(x) = 2x + 4