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Nataly [62]
3 years ago
15

Nisha and Marcie Drive 20 miles from sisters to hoodoo to go skiing. The speed limit is 75 555 miles per hour. It snowed all nig

ht, and the safe speed to drive is 40 miles per hour. Explain how you can determine how many more minutes it takes to drive 20 miles at 40 miles per hour in a 55 miles per hour.
Mathematics
1 answer:
slamgirl [31]3 years ago
8 0
If you meant to write this;Nisha and Marcie Drive 20 miles from their sisters to hoodoo to go skiing. The speed limit is 55 miles per hour. It snowed all night, and the safe speed to drive is 40 miles per hour. Explain how you can determine how many more minutes it takes to drive 20 miles at 40 miles per hour in a 55 miles per hour zone.
If you drive 20 miles at 40 mile per hour, then 20 miles divided by 40 miles equals .5.5 times 60 minutes (one hour) is 30 minutesIf you drive 20 miles at 55 mile per hour, then 20 miles divided by 55 miles equals .3636.3636 time 60 minutes (one hour) is 21.8 minutes30 minutes at 40 mph minus 21.8 minutes at 55 mph is 8.2 minutes faster
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If a graph shows the function y=3x what are the coordinates of the intercepts
vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:  

x

=

−

5

3

 

y

intercept:  

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the  

x

and  

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the  

y

intercept first:

With any function,  

y

intercepts where  

x

=

0

.

Therefore, substituting  

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the  

y

intercept cuts through the point (0,5)

Let's calculate the  

x

intercept next:

Recall that with any function:  

y

intercepts where  

x

=

0

.

The opposite is also true: with any function  

x

intercepts where  

y

=

0

.

If we substitute  

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for  

x

to calculate the  

x

intercept.

−

5

=

3

x

 

−

5

3

=

x

Therefore, the  

x

intercept cuts through the point  

(

−

5

3

,

0

)

.

Now we have both the  

x

and  

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function  

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}



3 0
3 years ago
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