There are 2 combinations of x^2, x, and 1 that will have x^3.
x^2, x, 1, 1 and x, x, x, 1
x^2, x, 1, 1 = 4*3*2/2 = 12 ways to organize
x, x, x, 1 = 4*3*2/3/2 = 4 ways to organize
4 + 12 = 16
=^._.^=
By the euclidean theorum.
gcd(3n + 4, n + 18)
gcd(2n - 14, n + 18)
gcd(n - 32, n + 18)
gcd(n - 32, 50)
The factors of 50 are 1, 2, 5, 10, 25, 50.
So the sum is 1 + 2 + 5 + 10 + 25 + 50 = 93
Hopefully that's right. :)
A function does not have an inverse function when 2 different x values can produce the same y value.
f(-3) = 9
f(3) = 9
So if we were to inverse it, f(9) could be 3 or -3, making it not a function.
Think about why g(x) has an inverese.
Can 2 different x in the domain produce the same y?
You're welcome. :))
I hope I'm understanding this question properly.
sine(a) can be at most 1, and at least -1.
To get the lowest temperature, we want sine(a) to be the highest number.
That means sine(7x/3 + 1/6) = -1.
-19 * 1 -3 = -22
To get the highest temperature, we want sine(a) to be the lowest number, -1.
-19 * -1 - 3 = 16
I hope that was helpful.
Side - Angle - Angle proves congruence.
Which triangles have that?
1.
6(7) + 2 + 3(5) + 4
2.
137/500 = 274/1000 = .274
Can you take these from here?
3x + 7 = 2 (mod 16)
3x + 7 = 18 (mod 16)
3x = 11 (mod 16)
3x = 27 (mod 16)
x = 9 (mod 16)
2*9 + 11 = 27 = 11 (mod 16)
https://web2.0calc.com/questions/find-a-monic-quartic-polynomial
textot has already answered this one. :))
Yep.
But make sure that A < B < 23 < C < D too. :))
