Solve: n^2/2 -2 = 5n/6

  n = -4/3  or   n = 3

Step-by-step explanation:

Multiply by 6 to eliminate fractions, then put into standard form.

  3n^2 -5n -12 = 0

  3n^2 -9n +4n -12 = 0 . . . . . separate -5n into two terms to facilitate factoring

  3n(n -3) +4(n -3) = 0 . . . . . factor pairs of terms

  (3n +4)(n -3) = 0 . . . . . . . . . factor out the common factor

  n = -4/3   or   3 . . . . . . . values that make the factors be zero

answer:

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b