Answer:
(-4,14)
(which you already choose)
Step-by-step explanation:
Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.
I don't know. This seems tricky. But I do know that the probability would be 1 divided by the probability. So A and D is Incorrect. Theres never really a 50-50 chance with Locker doors so I'm gonna go with C.
I'm not guaranteed this is the answer. But I do Hope it helps. =)
Answer:
Hence The composition
of the given function is
.
Step-by-step explanation:
Given:
![f(x) = x^2+2x-6](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%2B2x-6)
![g(x)=x+5](https://tex.z-dn.net/?f=g%28x%29%3Dx%2B5)
We need to find
.
Solution:
Now we can say that;
= ![f(g(x))](https://tex.z-dn.net/?f=f%28g%28x%29%29)
![(fog)(x) = (x+5)^2+2(x+5)-6](https://tex.z-dn.net/?f=%28fog%29%28x%29%20%3D%20%28x%2B5%29%5E2%2B2%28x%2B5%29-6)
Now Applying distributive property we get;
![(fog)(x) = (x+5)^2+2\times x+2\times5-6\\\\(fog)(x) = (x+5)^2+2x+10-6\\\\(fog)(x) = (x+5)^2+2x+4](https://tex.z-dn.net/?f=%28fog%29%28x%29%20%3D%20%28x%2B5%29%5E2%2B2%5Ctimes%20x%2B2%5Ctimes5-6%5C%5C%5C%5C%28fog%29%28x%29%20%3D%20%28x%2B5%29%5E2%2B2x%2B10-6%5C%5C%5C%5C%28fog%29%28x%29%20%3D%20%28x%2B5%29%5E2%2B2x%2B4)
Now Solving the exponent function we get;
![(fog)(x) = x^2+2\times x\times 5+5^2+2x+4\\\\(fog)(x) = x^2+10x+25+2x+4\\\\(fog)(x) = x^2+12x+29](https://tex.z-dn.net/?f=%28fog%29%28x%29%20%3D%20x%5E2%2B2%5Ctimes%20x%5Ctimes%205%2B5%5E2%2B2x%2B4%5C%5C%5C%5C%28fog%29%28x%29%20%3D%20x%5E2%2B10x%2B25%2B2x%2B4%5C%5C%5C%5C%28fog%29%28x%29%20%3D%20x%5E2%2B12x%2B29)
Hence The composition
of the given function is
.