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.
Peyton is 28 years old
Justin is 7 years old
Matt is 4 years old
Answer: Casey should buy 48 square yards of carpet
Step-by-step explanation: If Casey's room has two sections, which are a square section and a rectangular section, we shall calculate the total area of each section separately to start with. The square section has sides measuring 4 yards each, then the area of that section can be calculated as;
Area = 4 x 4 (all sides of a square are equal in length)
Area = 16 square yards.
Also the rectangular section has the same width as the square section, that is, 4 yards. The rectangular section has twice the length of the square section, that is, twice of 4 yards which is 8 yards. Hence the area of the rectangular section is calculated as;
Area = 4 x 8
Area = 32 square yards
Therefore, the total measurement of carpet in square yards for her room shall be area of both sections added together.
Total area = 16 square yards + 32 square yards
Total area = 48 square yards
Answer:
210 soft drinks
Step-by-step explanation:
12/10 = 252/x
12x= 252*10
12x = 2520
x= 210