Answer:
x=(5+i*sqrt(35))/2, (5-i*sqrt(35))/2
Step-by-step explanation:
Use the quadratic formula with the following values.
a = 1
b = -5
c = 15
Substitute and simplify.
(5+-sqrt((-5)^2-4*(1*15)))/2*1
x = (5+-i*sqrt(35))/2
When you get a negative number inside the square root, remember that you can pull out i to make the number inside positive.
To find (fg)(x), you must mult. together the two binomial functions f and g:
(fg)(x) = (6-5x)(6x^2+x = 36x^2 + 6x - 30x^3 - 5x^2
and then you must combine like terms: (fg)(x) = -30x^3 + 31x^2 + 6x
Hello!
To find how far the ship has sailed, we need to use the distance formula. The distance formula is:
.
Before using the formula, we need to assign the given points to
and
. The point (1, 2) can be assigned to
and (5, 5) can be assigned to
.
With the assigned ordered pairs, we can substitute it into the formula.




Given that each unit represents one mile, then therefore the ship has sailed 5 miles, which is choice A.
The fully factored polynomial is −3(x−6)(x+6).
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