Answer: Second option.
Step-by-step explanation:
Below are some transformations for a function f(x) :
1. If 
, the function is shifted "k" units up.
2. If 
, the function is shifted "k" units down.
3. If 
, the function is shifted "k" units right.
4. If 
, the function is shifted "k" units left.
The Cube root parent function is:
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
By definition, the graph of this function passes through the origin, as you can observe in the picture attached.
In this case, you need to analize the graph given in the exercise. You can see that the the graph of the function h(x) is like the parent function f(x), but shifted 2 units left.
Therefore, based on the transformations explained above, you can determine that the equation of the function h(x) is the following:
![h(x)=f(x+2)\\\\h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3Df%28x%2B2%29%5C%5C%5C%5Ch%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
Answer:
143.75
Step-by-step explanation:
The tip is the cost times the tip rate
tip = cost * rate
The cost is 125 and the rate is 15%
tip = 125 * 15%
Change this to decimal form
tip = 125 *.15
= 18.75
The total bill is the cost plus the tip
total bill = cost + tip
= 125 + 18.75
= 143.75
36x=24(30) simplify to get what x equals
Start off by stating your facts. You have a maximum of $8.75. We know that each quarter is 25 cents so we multiply 25x26 equaling 650. Yet we need a decimal so it would be $6.50. Each nickel is worth 5 cents so then you would minus $8.75 and $6.50 getting us to $2.25. Now divide it by 5 cents and you should get 45 nickels. You can also do this by stating that 10 nickels is 50 cents and go until you get 45
Answer:
D). 659.73 in^3.
Step-by-step explanation:
The volume of a cone = 1/3 π r^2 h
The volume of the large cone = 1/3 π 6^2 * 20 in^3.
The plane passes through the midpoint of the cone so the height of the small cone = 10 in
and the radius of this cone is 1/2 * 6 = 3 in.
The volume of the small cone = 1/3 π 3^2 * 10 in^3.
So the volume of the blue section
= 1/3 π 6^2 * 20 - 1/3 π 3^2 * 10
= 659.73 in^3.
