9514 1404 393
Answer:
-5/4 +i(√2)/4 and -5/4 -i(√2)/4
Step-by-step explanation:
I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...
x^2 +5/2x +27/16 = 0
Completing the square by adding and subtracting the square of half the x-coefficient, we get ...
(x^2 +5/2x +25/16) +27/16 -25/16 = 0
(x +5/4)^2 = 2/16
Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...
x +5/4 = ±√(-2/16)
x = -5/4 ±i(√2)/4
The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.
Answer:
The inverse is 5x-6
Step-by-step explanation:
To find the inverse of a function
y = ( x+6) /5
Exchange x and y
x = ( y+6)/5
Solve for y
Multiply each side by 5
5x = (y+6)/5 *5
5x = y+6
Subtract 6 from each side
5x-6 = y+6-6
5x-6 =y
The inverse is 5x-6
Answer:
r≈2.39
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This is because the line was growing starting form the y-int=2.
Now the line is decreasing starting from y-int=2.
Find the vertex.
x=b/-2a
12/-2(1)
x=-6
then plug into equation
-6^2+12(-6)+6
36-72+6=-30
(-6,-30)
