Find three consecutive even integers whose sum is 66. show work pls
2 answers:
For our three integers to be even x%2=0 ∀x∈S where S= {our three integers}. To guarantee this set our first integer as 2n (ie. 2n%n≡0). Then to have three consecutive even integers increment from the initial value by 2 thus setting them as 2n, 2n+2 and 2n+4.
Thus:
Simplifying:
Solving for 'n':
The integers are thus 2n=20, 2n+2=22 and 2n+4=24.
To check: 20+22+24=66.
Thus:
Simplifying:
Solving for 'n':
The integers are thus 2n=20, 2n+2=22 and 2n+4=24.
To check: 20+22+24=66.
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Using a linear function, the graph for the amount remaining of the trip is given at the end of this answer.
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The linear function that models the distance remaining is given by:
In which
- D(0) is the total distance.
- v is the velocity.
In this problem:
- 500 miles, thus
- 55 miles per hour, thus:
The time it takes is:
Thus, the function is:
The graph is given at the end of this answer.
A similar problem is given at brainly.com/question/16643850
