From the previous step we have erx(6r2 + 3r − 3) = 0. Since erx is never 0, then we know 6r2 + 3r − 3 = 0. Solving the above equation gives the solutions to the quadratic equation.

 r = - 1      or   r = 1/2

Step-by-step explanation:

From the quadratic equation;

          + 6r - 3r - 3 = 0

           ( + 6r) - (3r + 3) = 0

         6r(r + 1)  - 3 (r + 1) = 0

         ⇒ (r + 1) or (6r - 3) = 0

         r + 1 = 0     or 6r - 3 = 0

         r = - 1      or      6r = 3

         r = - 1      or   r = 1/2

Thus, the solutions to the equation are; r = - 1 or r = 1/2 since erx is never 0.

4.6875 pounds

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: