If you use the Fundamental Counting Principle, you can figure out the answer.
4*3*9=108
There are 108 unique combinations
Answers:
Functions
- y = -x+11
- y = 2x^2-6x+4
- y = -7
Not functions
- x = 3
- x^2+y^2 = 81
- y^2 = -5x-12
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Explanation:
A function is possible if and only if any given x input leads to exactly one y output.
For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would <u>not</u> be a function. We would need x to pair with only y value to have it be a function.
We have the same thing going on with y^2 = -5x-12 as well.
For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.
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In summary, we have these three non-functions:
- x = 3
- x^2+y^2 = 81
- y^2 = -5x-12
Everything else is a function. You can use the vertical line test as a visual way to check.
142 square rooted is between 11 and 12 is correct.
Because 142 square rooted is 11.92 which is between 11 and 12.
So the third choice is the answer.
Answer:
64 feet squared
Step-by-step explanation:
8*8=64
A triangle has an interior sum of angle as 180 degrees. Since we know two of the angles, we can work out the third angle.
Angle F = 180 - (104 + 21) = 55°