I think it is 4 because 3 times 4 is 12 and you can’t have another 3 card hand.
Answer:
Option A. 
Step-by-step explanation:
we have

we know that
To find the range, substitute each value of x of the domain and find the value of f(x)
so
For
-----> 
For
-----> 
For
-----> 
For
-----> 
For
-----> 
therefore
The range is 
Answer:
The equation that can be used to solve for a is 1 = a(0=1)²-3.
Explanation:
In this case, I would model the parabola in vertex form. Vertex form is y = a(x-h)²+k, where (h,k) is the vertex of the parabola. Using the information from the question, we can plug in values to get 1 = a(0+1)²-3. (This could be simplified as 1 = a(1)²-3 ⇒ 1 = a-3 ⇒ a = 4, but we are only interested in finding the equation that can solve for a.)
Answer: Your choice is the first one above.
In our inequality, x is our unknown, so that is "a number" in the wording above. 1/2x means half the number. So we have half a number plus 3/4. Of course "plus" means sum, so we have "the sum of half a number and 3/4" so far. The inequality sign is greater than or equal to. That means that the left side CAN equal the right side and it can also be greater than the right side, but it's not ok to be less than the right side.
Rewrite the original equation as:
Log(4x^2) - log(3yz)
Rewrite log(4x^2) as log(4) + log(x^2)
Rewrite log(4) as 2log(2)
Rewrite log(x^2) as 2log(x)
Separate log(3yz) into 3 logs: log(3), log(y) and log(z)
Now combine them to get:
2log(2) + 2log(x) - log(3) - log(y) - log(z)