An apartment building currently has rented x apartments with two occupants and 17 apartments with one occupant. the apartment building has 89 total occupants. 2x + 17 = 89 how many double-occupancy apartments are currently rented? a. 53 b. 28 c. 36 d. 72

Hi there! The answer is C.

To find our answer we need to solve the equality given in your question.

2x + 17 = 89
Subtract 17 from both sides

2x = 72
Divide both sides by 2

x = 72 / 2 = 36.
Therefore there are 36 double-occupied apartments.

Hey. Good afternoon.

2x + 17 = 89
2x = 89-17
2x = 72
x = 72/2
x = 36 

Sorry my bad english, i'm Brazilian.

2x^2 -2x -12 = 02(x -3)(x +2) = 0see below for explanation

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

There are two bc a studen that equals to 2