Answer:
The correct answer is (5 - 7)^2
Step-by-step explanation:
To find this, start with the outermost equation g(x).
g(x) = x^2
Now put the next equation (h(x)) in for x in this equation.
(G ▪ H)(x) = (x - 7)^2
Now, put the number in for x in the equation given.
(G ▪ H)(x) = (5 - 7)^2
Answer:
Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

Step-by-step explanation:
Evaluate:

When a=-4, b=2, c=-3, and d =4
Solution:
Substitute, a=-4, b=2, c=-3, and d =4 in above expression we get


Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

Since a^2+b^2=c^2 becomes 20^2+b^2=29^2, we solve for b:
400+b^2=841
b^2=441
b=21
So the length of b is 21 units.
Hope this helped!
The discriminant is b²-4ac
when the discriminant is 0, there is only one solution.
Answer:
We conclude that expected value of this game is -0.865$.
Step-by-step explanation:
We know that in a lottery game, a player picks six numbers from 1 to 27.
We know that

As there is only one advantageous combination, we conclude that the number of non-winning combinations is 296009.
He can win 40,000 dollars.
We calculate:

We conclude that expected value of this game is -0.865$.