Answer:
The rate of change is 8
Step-by-step explanation:
put the 16 as the numerator then the 2 hours as the denominator then divide by 2 to get you 8 dollars for 1 hour
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Step-by-step explanation:
Let x be the number lower reserved tickets
and
y be the number of upper reserved tickets
Then according to given statements

From equation 1:

Putting in equation 2

Subtracting 7030 from both sides

Dividing both sides by -1.5

Putting y = 365 in equation 1

Hence,
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Keywords: Linear equations, Variables
Learn more about linear equations at:
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The average speed of the plane between Austin and Dallas is 232 kmph
<u>Solution:</u>
Given that,
Total distance traveled by airplane = 290 km
Time taken for travel between Austin and Dallas = 1 hour 15 minute
Let us convert the time taken to hours

<em><u>The average speed is given as:</u></em>

Plugging in the values, we get,

Hence the average speed is 232 kmph
<h3>
Answer: 
</h3>
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How to get this answer:
Use the unit circle to note that
when
(aka 45 degrees)
Beyond this point, cosine is smaller than sine. This means that anything from 0 to pi/4 will have sine be smaller than cosine. It might help to graph y = sin(x) and y = cos(x) on the interval from x = 0 to x = pi.
The two curves y = sin(x) and y = cos(x) intersect at the point 
-------------------------------
Here's a more detailed picture of whats going on.

Intersect the intervals
and
and you'll end up with the final answer 
All you do is subtract 3.2 from the number 4 and you get the number -0.8