Since -5i is a zero, then its complex conjugate +5i is also a zero of the function.
Therefore,
x + 5i, x - 5i , and x - 3 are factors of the polynomial.
Hence, the polynomial function, P(x), of the lowest degree with rational coefficients is given by

Which implies that

Hence the polynomial is
Answer: 
Step-by-step explanation:
By definition, the slope of the line is described as "Rate of change".
You need to use the following formula to calcualte the slope of the line;

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).
Then, you can say that:

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

Finally, you must evaluate in order to find the slope of this line. You get that this is:

Answer:
0.52
Step-by-step explanation:
The hundredths position is the second spot to the right of the decimal point, so 52/100 can be written as 0.52.
Answer:
F^-1(x)= x/5 - 12/5
Step-by-step explanation:
F(x) = 5x +12
y = 5x + 12
5y = x - 12
y= x/5 -12/5
Answer:
(-1,1)
Step-by-step explanation:
To find where both lines intersect, solve for x and y with substitution.
Equation 1.
-8x+3y=11
Equation 2.
y=3x+4
Substitute y from equation 2 into equation 1.
-8x+3(3x+4)=11
-8x+9x+12=11
x=-1
Now plug x into the second equation to solve for y.
y=3(-1)+4
y=-3+4
y=1
Both lines intersect at (-1,1)