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IgorC [24]
2 years ago
9

BIG IDEAS MATH

Mathematics
1 answer:
miv72 [106K]2 years ago
3 0

The minimum and maximum numbers of hours you will have cruise control on are 2.75 hours and 3.75 hours, respectively

<h3>How to find the minimum and maximum numbers of hours you will have cruise control on?</h3>

The given parameters are

Distance = 195 miles

Speed = 60 miles per hour

Distance to turn the cruise control off = 30 miles within the border on either sides

The distance when you turn the cruise off is:

Distance = Current Distance ± Distance to turn the cruise control off

This gives

Distance = 195 ± 30

Expand

Distance = (195 - 30, 195 + 30)

Evaluate

Distance = (165, 225)

Recall that

Speed = 60 miles per hour

So, we have:

Time = Distance/Speed

This gives

Time = (165, 225)/60

Expand

Time = (165/60, 225/60)

Evaluate

Time = (2.75, 3.75)

Hence, the minimum and maximum numbers of hours you will have cruise control on are 2.75 hours and 3.75 hours, respectively i.e. you will travel at least 2.75  hour(s) and at most 3.75 hour(s) with cruise control on.

Read more about speed at:

brainly.com/question/4931057

#SPJ1

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Which system of linear inequalities is represented by the graph?  ax – 3y &gt; 6 and y &gt; 2x + 4 bx + 3y &gt; 6 and y &gt; 2x 
igor_vitrenko [27]

The <em><u>correct answer</u></em> is:

bx + 3y > 6 and y > 2x + 4

Explanation:

Looking at the second inequality, the y-intercept is 4 and the slope is 2.  This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1.  Since it is greater than, this means the graph is shaded above it.  Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1.  The graph is also shaded above the line.

For the first inequality, bx+3y > 6, we want to isolate y.  To do this, we subtract bx from each side:

bx+3y-bx > 6-bx

3y > 6-bx

Divide both sides by 3:

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This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3.  The orange section does this.  Additionally, since it is greater than, the graph should be shaded above the line.  This one is, so this is the correct answer.

3 0
3 years ago
Read 2 more answers
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