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blondinia [14]
2 years ago
7

The following map shows the time it takes to drive between four cities in Texas. Jacob has to drive from San Antonio to Houston,

and then from Houston to Dallas. How many hours will it take him?
The picture is supposed to be right here


Answers:
7 2/15 hours
7 5/12 hours
4 7/12 hours
7 hours

Mathematics
1 answer:
sertanlavr [38]2 years ago
3 0

Answer:

it is 7 5/12

Step-by-step explanation:

3 and 1/3 plus 4 and 1/12 and you need to multiply the denominator to get 12 ( witch is 4 ) then multiply the numerator by 4 and then you add the 2 numbers together to get 4/12 + 1/12 and then you need to add the whole numbers 3 + 4

witch gets you 7 and 5/12

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Find the limit, if it exists (picture below)
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Answer:

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Step-by-step explanation:

When plugging in zero into the given equation:

\lim_{x \rightarrow 0}    \frac{\sqrt{x + 7} -  \sqrt{7}  }{x} =  \frac{0}{0}

Answer is in indeterminate form = use L'Hospital's Rule:

(Derivative of the top / Derivative of the bottom)

\lim_{x \rightarrow 0}  \frac{ \frac{1}{2} (x + 7)^{ \frac{-1}{2}} - 0 }{1}

Rearranged equation:

\lim_{x \rightarrow 0}  \frac{1}{2 \sqrt{x + 7} }

Plug zero back into equation:

\lim_{x \rightarrow 0}  \frac{1}{2 \sqrt{x + 7} }  =  \frac{1}{2 \sqrt{0 + 7} } =  \frac{1}{2 \sqrt{7} }

Answer:

\lim_{x \rightarrow 0}    \frac{\sqrt{x + 7} -  \sqrt{7}  }{x} = \frac{1}{2 \sqrt{7} }

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