You apply the sum of interior angles formula ie. (n-2)180. n=number of sides
since a pentagon has 5 sides it will be (5-2)180=540.
now add everything. x-5+x-6+2x-7+x+2x-2=540.
Solve for x: 7x-20=540
7x=540+20
7x=560
x=560/7
x=80
Answer:
Line B - red line
Step-by-step explanation:
Answer:
92832-31504=61328...........
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.
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Answer:
2½
Step-by-step explanation:
First find the Least Common Denominator [LCD], which is 6, then convert 5⅙:
5⅙ → 4 7⁄6
You see, we regrouped 1 from 5⅙ to make sure that the top mixed number had a higher value than the bottom mixed number, so it is much easier to work with.
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