Answer:
Step-by-step explanation:
We want to write an equation for the polynomial function with roots;
and
Note that complex roots come in pairs and in conjugates.
Therefore
is also a root.
By the factor theorem:
(x-2), (x+3+5i), and (x+3-5i) are factors of the polynomial.
Let p(x) be the polynomial, then in factored form.
We expand now to get:
Simplify now
We expand further;
Answer:
$52.44
Step-by-step explanation:
Long method:
1. Convert the percentage into a decimal (15/100 = 0.15)
2. Multiply the decimal by the cost of the haircut (0.15 x $45.60 = $6.84)
3. Add this product by the cost of the haircut ($6.84 + $45.60 = $52.44)
Quicker Way (easier w/ a calculator)
1. Add 100% to the percentage she wants to add (100% + 15% = 115%) You can also express this as a number (115/100 = 1.15)
2. Multiply this new percentage by the cost of the haircut (1.15 x $45.60 = 52.44)
In a single equation, it would be
Answer:
(1 , 6)
Step-by-step explanation:
the center of the circle is the midpoint of the diameter
Which is the point of coordinates:
Then the center is the point :
