Answer:
32 people
Step-by-step explanation:
If 3/4 equals 24, we need to find the other fourth. We can divided the total number of people by the numerator. 24/8, then add 8, which equals 32.
Answer:
3^12
Step-by-step explanation:
When the whole numbers are the same, add the exponents
Answer:
OPTION D
Step-by-step explanation:
We have to determine which option determines the function given above.
To determine the function, just substitute the values and compare LHS and RHS.
we have 



Here,
is the domain and
is the co-doamin.
Therefore, 
Now, OPTION A: 
Substitute x = 4. We get f(x) = 3
18.
So, OPTION A is rejected.
Similarly, OPTION B: 
Substitute x = 4. We get f(4) = 22
18.
It is rejected as well.
Now, for OPTION C: 
Substitute x = 4. We get f(4) = -3
18.
So, OPTION C is also rejected.
OPTION D: 
Substitute x = 4. We get f(4) = 18.
Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.
Answer:
z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2
Step-by-step explanation:
To complete the square, the last term has to be 1. So adding 10 to both sides, we get:
4z^2+4z+1 = 10
Since 4z^2+4z+1=(2z+1)^2,
(2z+1)^2 = 10.
Taking the square root of both sides, we get
2z+1=sqrt(10) or 2z+1=-sqrt(10)
So z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2