2. ryan gets a raise. he now earns $9 an hour. ryan decides to
start saving for a car. he works 9 hours a week
part a
how many hours does ryan need to work to earn
enough money to buy the car as well as pay for the
taxes, title, and plates as shown? draw bar diagrams
to write and solve equations.
part 8
about how many weeks will ryan need to work to buy the car and pay
for the taxes, title, and plates? explain.
part
how many actual weeks does ryan need to work to buy the car and pay
for the taxes, title, and plates? show your computations. explain why your
solution is reasonable.

9 hours at 9 dollars an hour is 81 dollars so therefore he needs to work 9 weeks in order to raise the money.

Step-by-step 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.

where is the figure