Three sections of a fence need to be painted. Each section of the fence is made of 4 equal-sized boards. Alex paints 1/6 of the
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If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is 
. Now we will multiply in that last factor of (x-4): 
. FOILing out we have 
. There you go!
ANSWER
The exponential function is
EXPLANATION
Let the exponential function that is represented by the values in the table be of the form,
The points in the table must satisfy this exponential function.
We substitute the point,
to get,
This implies that,
Our function now becomes,
We gain, plug in another point yo find the value of b too.
Let us substitute
This implies that,
We divide through by 3 to obtain,
Therefore the function is,
The correct answer is A.
The exponential function is
EXPLANATION
Let the exponential function that is represented by the values in the table be of the form,
The points in the table must satisfy this exponential function.
We substitute the point,
to get,
This implies that,
Our function now becomes,
We gain, plug in another point yo find the value of b too.
Let us substitute
This implies that,
We divide through by 3 to obtain,
Therefore the function is,
The correct answer is A.