Find f(x) divided by g(x)
f(x)=2x^2+x-6 and g(x)=x^2-4
a) 2x-3/x+2
b) 2x+3/x-2
c) 2x+3/x+2
d) 2x-3/x-2

(2x - 3)/(x-2)

Step-by-step explanation:

divide the given equations :

(2x^2 +x -6) / (x^2 -4)

but first do some rearrangements

x^2 - 4 = (x - 2) × (x + 2)

and

(2x^2 + x - 6) = (2x -3) × (x + 2)

when you write the whole equation as a fraction

(x+2) will be eliminated from both sides and only (2x - 3)/(x - 2) will be left

we can't do further calculations so it's the simplest way to write it

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17