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:
x = friends that paid discount price = 8
y = friends that paid regular price = 4
Step-by-step explanation:
Let
x = friends that paid discount price
y = friends that paid regular price
x + y = 12 (1)
6x + 8y = 80 (2)
From (1)
x = 12 - y
Substitute x = 12 - y into (2)
6x + 8y = 80 (2)
6(12 - y) + 8y = 80
72 - 6y + 8y = 80
- 6y + 8y = 80 - 72
2y = 8
y = 8/2
y = 4
Substitute y = 4 into (1)
x + y = 12 (1)
x + 4 = 12
x = 12 - 4
x = 8
x = friends that paid discount price = 8
y = friends that paid regular price = 4
Answer:
x=7 x=-7
Step-by-step explanation:
Solution is attached.
So he's mixing:
1 gallon 2 quarts 3 pints of orange juice
1 gallon 3 quarts 7 pints of pineapple juice and
1 gallon 3
<span>
quarts 3 pints of ginger ale
that's:
3 gallons 8 quarts and 13 pints.
2 pints make a quart, so 13 pints make 6 quarts and 1 pint, so actually it's:
</span><span>3 gallons 8+6=14 quarts and 1 pint.
4 quarts are a gallon, and 14 quarts are 3 gallons 2 quarts, so the final answer is:
</span>
<span>3+3=6 gallons 2 quarts and 1 pint. </span>
1500 total surveys sent
Returned: 245 + 173 + 185 + 92 = 695
1500-695 = 805