(f○g)(x)=√(7(x+8))
(f○g)(x)=√(7x+56)
Since there is no real square root of a negative value, the smallest value in the domain would make the radicand equal to zero. x=-8 is the smallest number in the domain of (f○g)(x)
Answer: The number of supervisors are 9 times the number of unicorns.
Step-by-step explanation:
Let the number of supervisors be 'n'.
Let the number of unicorns be 'u'.
According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.
So, Mathematically, it is expressed as

so, we established the relationship between the number of supervisors and number of unicorns.
Hence, the number of unicorns are 9 times the number of supervisors.
Answer: simplified ratio would be 3:2
Step-by-step explanation: the ratio would be 12:8
To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90
2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10
Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b
2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10
3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100
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Answer: The numbers are 100 and 10</span>