$\text{Consider the function}\\
\\
f(x)=\sqrt{7+x}\\
\\
\text{Since it is a radical function, so the term inside the radical must be positive}\\
\\
\text{so to find the domain of the function, we will solve the inequality,}\\
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7+x\geq 0\\
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\Rightarrow x\geq -7\\
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\text{hence the domain of the function is all real number greater than }x=-7.\\
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\text{or the domain of the function is:}\\
\\
x\geq -7$

3 0

3 years ago

Find the straight time pay: $9.25 per hour, 35 hours.

Schach [20]

You will get paid $323.75 if you work 35 hours and get paid $9.25 per hour

6 0

3 years ago

Read 2 more answers

Would you rather drive 0.3 miles to fill up for $3.59 per gallon OR drive 1.2 miles to fill up for $3.41 per gallon?Please expla

Vsevolod [243]

We know that, in the US, the average mile per gallon was 25 mpg in 2015. Since we don't have the mile per gallon of the car in our problem, we are going to use that average.
For our first situation, drive 0.3 miles to fill up for $3.59 per gallon:
 $\frac{25miles-----\ \textgreater \ 1gallon}{0.3miles-----\ \textgreater \ xgallons}$
$\frac{25}{0.3} = \frac{1}{x}$
$x= \frac{(1)(0.3)}{25}$
$x=0.012$
We just proved that in our trip, we used 0.012 gallon, and at $3.59 per gallon; we will pay (0.012)(3.59)=$0.04 for that gasoline.

For our second situation, drive 1.2 miles to fill up for $3.41 per gallon:
 $\frac{25miles-----\ \textgreater \ 1gallon}{1.2miles-----\ \textgreater \ xgallons}$
$\frac{25}{1.2} = \frac{1}{x}$
$x= \frac{(1)(1.2)}{25}$
$x=0.048$
We just proved that in our trip, we used 0.048 gallon, and at $3.41 per gallon; we will pay (0.048)(3.41)=$0.16 for that gasoline.

We can conclude that is much better to drive 0.3 miles to fill up for $3.59 per gallon than drive 1.2 miles to fill up for $3.41 per gallon.

8 0

3 years ago