3 years ago

What is the domain of the function?

Mathematics

1 answer:

denis23 [38]3 years ago

6 0

Use a calculator it's not hard

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Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 48 miles uphill. After she reached the peak she rode f

Alex Ar [27]

Answer: $25\ mph$

Step-by-step explanation:

Given

Jane took 3 hours

First she rode 48 miles with let say with $x$ mph

then she rode 15 miles with speed $(x+5)$ mph

Equate the time in each ride and equate it to total time

$\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph$