State the domain of this relation
2 answers:
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Dipesh is looking at two different options for a new video rental plan. Plan A has a fee of $7.95 plus an additional fee of $1.25 per rental. With this plan, the first 2 rentals are free. Plan B has a fee of $5.00 plus an additional fee of $3.90 per rental. With this plan, the first 6 rentals are free. After how many rentals would both options cost the same amount?
Answer:
x = 5, x =
Step-by-step explanation:
Given
+
= 3
=
=
=
( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
x - 5 = 0 ⇒ x = 5