Answer:
(x + 2) is a factor of f(x)
Step-by-step explanation:
Using the remainder theorem to divide f(x) by (x - h)
Evaluate f(h) and if equal to 0 then (x - h) is a factor
f(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0
f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0
f(- 6) = (- 6)³ - 7(- 6)² + 36 = - 216 - 252 + 36 ≠ 0
f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0
Hence (x + 2) is a factor of f(x)
Answer:
48
Step-by-step explanation:
Answer: it will take 25 months
Step-by-step explanation:
Let x represent the number of months that it will take for the cost of both plans to be the same.
Cell phone Plan A costs $70 per month and comes with a free $500 phone. This means that the total cost of x months with plan A would be
70 × x = $70x
Cell phone plan B costs 50 per month but does not come with a phone. If you buy the 500 phone and choose plan B, then the total cost of x months with plan B would be
500 + 50 × x = 500 + 50x
To determine the number of months until your cost is the same as Plan A's, we would equate both costs. It becomes
70x = 500 + 50x
70x - 50x = 500
20x = 500
x = 500/20 =25
300.02 if you use the square root of 72
