What is the simplified form of the expression 2b^-6·b^12?
1 answer:
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Answer:
x = 3, x = 4
Step-by-step explanation:
Given
= 14 - 2x ( multiply through by x , x ≠ 0 )
24 = 14x - 2x² ( subtract 14x - 2x² from both sides )
2x² - 14x + 24 = 0 ( divide through by 2 )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
The graph is attached, showing the intersection point at 13.5 years and populations of 235.2 for each population.
We only consider the portion of the graph from x=0 on, since negative time is illogical. Tracing the graph we get the intersection point.
We only consider the portion of the graph from x=0 on, since negative time is illogical. Tracing the graph we get the intersection point.