1/4x^2 = -1/2x + 2.....multiply everything by 4
x^2 = -2x + 8
x^2 + 2x - 8 = 0
(x + 4)(x - 2) = 0
x + 4 = 0
x = -4
x - 2 = 0
x = 2
solutions are : x = -4 or x = 2
Any number raised to the power of zero is one
The measure of angle 4 would be 124
Answer: y = -1, y = 6 (choice D)
===========================================================
Work Shown:
y - (6/y) = 5
y*(y - (6/y)) = y*5 <<--- see note 1 below
y^2 - 6 = 5y
y^2 - 5y - 6 = 0
(y+1)(y-6) = 0 <<--- see note 2 below
y+1 = 0 or y-6 = 0
y = -1 or y = 6 which are the two answers
note 1: I multiplied both sides by y to clear out the fraction (the LCD is y)
note 2: I factored the left side by asking myself "what two numbers multiply to -6 and add to +5?" the answer to that question is +1 and -6 which helps lead to the factorization. An alternative route instead factoring is to use the quadratic formula
I don't know if is completely correct but I got
Students = 613.6
Adults = 324.4
