Answer:
<em>f(x) = x² (2+i)x-15-3i</em>
Step-by-step explanation:
Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))
Multiplying both factors
f(x) = (x+3)(x-(5+i))
f(x) = (x²-(5+i)x+3x -3(5+i))
f(x) = x² - (5+i- 3)x -15-3i
f(x) = x² (2+i)x-15-3i
<em>hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i</em>
Answer:
y=2
Step-by-step explanation: horizon shows where the dotted line crosses the y axis
Answer:
Remember that the slope of perpendicular lines are negative reciprocals of each other.
Step-by-step explanation:
y = 1 - 2x the slope is -2 the value of the x term.
So the slope of the new line using point (- 1, 2) is 1/2.
Now use y = mx + b where y = -1, x = 2, and m = 1/2 .
y = mx + b
-1 = 1/2(2) + b solve for "b", the y-intersect
-1 = 1 + b
-2 = b
The line that is perpendicular to y = 1 - 2x is y = 1/2x - 2
Answer:
Its False
Step-by-step explanation:
i hope its right
Answer:
Yes, "y" varies directly with "x".
The equation is: 
Step-by-step explanation:
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
If you solve for "k", the equation is:
Then, given the table provided in the exercise, you can know if "y" varies directly with "x" by finding the quotient of the correspoding values of "x" and "y":
- Dividing 
by 
you get:
- Divide 
by 
:
- Dividing 
by 
:
Since the quotient is constant, then "y" varies directly with "x" and the the Constant of variation is:
Therefore, the equation for the Direct variation is:
