Step-by-step explanation:
![f(x) = \sqrt[3]{x - 3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%203%7D)
The domain of a function are the values of 
that you can plug into the function 
.
Values inside of a root must be non-negative, which means that 
must be greater than or equal to zero. We can set up an equation to find the domain:
With this, we know the domain of the function is 
.
The range of a function are the values that can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is 
.
Answer:
158 in²
Step-by-step explanation:
<u>Surface area</u>
A = 2·(l·w + l·h + w·h)
= 2·(3in·8in + 8in·5in + 3in·5in)
= 2·(24in² + 40in² + 15in²)
= 2·(79in²)
= 158 in²
al3xis
Answer:
68.8 sq. inches.
Step-by-step explanation:
The triangular surfaces have sides 2 in by 3 in by 4 in.
So, half perimeter, s = 
So, the area of the triangular face is 
sq. inches.
Now, the total surface area of the right triangular prism will be (2.9 × 2) + 7(2 + 3 + 4) = 68.8 sq. inches. (Answer)
9514 1404 393
Answer:
12 dimes
Step-by-step explanation:
Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...
0.25q +0.10(16 -q) = 2.20
0.15q +1.60 = 2.20 . . . . . . . simplify
0.15q = 0.60 . . . . . . . . subtract 1.60
q = 4 . . . . . . . . . . . divide by 0.15
16-q = 12
There are 12 dimes in the collection.
