3 years ago

Factor this polynomial expression. 8x +2x-15

Mathematics

1 answer:

Veronika [31]3 years ago

6 0

5(2x-3) is the factored version

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You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return

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<h2>Time required to complete the round trip $T=\frac{420}{x}+\frac{420}{(x-15)}$ where x is average velocity on the outgoing trip.</h2>

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

$420=t_1\times x\\\\t_1=\frac{420}{x}$

Distance to vacation place = Time for return trip x average velocity of return trip

$420=t_2\times (x-15)\\\\t_2=\frac{420}{(x-15)}$

We have total time T = t₁ + t₂

That is

$T=\frac{420}{x}+\frac{420}{(x-15)}$

Time required to complete the round trip $T=\frac{420}{x}+\frac{420}{(x-15)}$ where x is average velocity on the outgoing trip.

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