Answer:
1st 3rd and 4th
Step-by-step explanation:
I just did that
The average rate of change of the function f( x ) = x² + 7x + 6 at the interval of −4 ≤ x ≤ −1 is 2
<h3>What is the average rate of change the function?</h3>
The average rate of change the function is simply the change in y-values of the two points divided by the change in x-values of the two points.
It is expressed as;
Given the data in the question;
- f( x ) = x² + 7x + 6
- Interval: −4 ≤ x ≤ −1 ⇒ [-4.-1]
Average rate of change = ( f(-1) - f(-4) ) / ( (-1) - (-4) )
Average rate of change = ( (-1)² + 7(-1) + 6 ) - ( (-4)² + 7(-4) + 6 ) ) / ( (-1) - (-4) )
Average rate of change = ( (1 + -7 + 6 ) - ( 16 - 28 + 6 ) ) / (-1 + 4 )
Average rate of change = ( ( 0 ) - ( -6 ) ) / (-1 + 4 )
Average rate of change = ( 0 + 6 ) / ( 3 )
Average rate of change = 6 / 3
Average rate of change = 2
Therefore, the average rate of change of the function is 2.
Learn more about average rate of change here: brainly.com/question/28744270
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The number of ways in which you can win first prize and your mom went the second prize will be 8. Then the correct option is D.
<h3>What are permutation and combination?</h3>
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
You and your mom enter the drawing with three different prices the prizes are awarded at random is a total of 8 people entered the drawing.
Then the number of the ways in which you can win first prize and your mom went the second prize will be
Let x be the number of different ways.
Then we have
Thus, the number of ways in which you can win first prize and your mom went the second prize will be 8.
More about the permutation and the combination link is given below.
brainly.com/question/11732255
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Answer:
168 hours
8,736 hours
Step-by-step explanation:
1)
<em>Determine how many hours are equal to 1 week. </em>
1 week = 7 days
1 day = 24 hours
1 week * (7 days)/(1 week) * (24 hours)/(1 day) = 168 hours
2)
<em>How many hours are in a year (52 weeks)?</em>
1 week = 168 hours
1 year * (52 weeks)/(1 year) * (168 hours)/(1 week) = 8,736 hours
8+0.0+0.01+0.007 this is the answer
