f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
Step-by-step explanation:
interchanging the variables
x = 5y^2 + 10
5y^2 +10 = x
5y^2 = x - 10
dividing by 5
5y^2/5 = x/5 + -10/5
y^2 = x/5 + - 10/5
y^2 = x/5 - 2
y = 5 (x-10) 0/5 (sq.rt)
g(5x^2 + 10) = 5x/5
g(5x^2 + 10) = x
f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
All the sides of a cube are always the same.
Area = 12 in x 12 in = 144 in^2
Volume = 12 in x 12 in x 12 in = 1728 in^3
Hence, you can confirm all the side of this cube is 12 in.
Answer: 2.36
Step-by-step explanation:
Using the μ=∑[x⋅P(X=x)
U will need to do
2/11 because you have 2 labeled 1
3/11 because you have 3 labeled 2
6/11 because you have 6 labeled 3
Then you will do:
1 x 2/11 = 0.18
2 x 3/11 = 0.5454 = 0.55
3 x 6/11 = 1.63
Then add them all together to find the μ
0.18 + 0.55 + 1.63 = 2.36
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Make use of prime factorizations:
Both terms have a common factor of :
- - -
The second one is not true! We can write
Both terms have a common factor of :
Since , and , we'd still have to show that is a multiple of 6. This is impossible, because and there is no multiple of 2 that can be factored out.