Pick any number and add 2 to it. Find the sum of the new number and the original number. Add 8 to the sum. Divide the new sum by 2 and subtract the original number from the quotient. Complete parts a) through d) below. a) What is the final number? The final number is b) Arbitrarily select some different numbers and repeat the process, recording the original number and the results. The final number isD. c) Can you make a conjecture about the relationship between the original number and the final number? O A. The final number is always the same as the original number. O B. The final number is always 5. OC. The final number is always 2 times the original number. O D. The final number is always = of the original number. d) Try to prove, using deductive reasoning, the conjecture you made in part (c). O A. Pick a number n. Add 2 to the number, n + 2. Add this value to the original number, 2n + 2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+ 5. Then subtract 5 from this and multiply by 2 to reach the final number, 2n. O B. Pick a number n. Add 2 to the number, n + 2. Add this value to the original number, 2n +2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+5. Then subtract 5 from this to reach the final number, n. OC. Pick a number n. Add 2 to the number, n+ 2. Add this value to the original number, 2n +2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+5. Then subtract the original number, n, from this to reach the final number, OD. Pick a number n. Add 2 to the number, n+2. Add this value to the original number, 2n + 2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+ 5. Then subtract 5 from this and divide by 2 to reach the final number, n. 1

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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Pick any number and add 2 to it. Find the sum of the new number and the original number. Add 8 to the sum. Divide the new sum by 2 and subtract the original number from the quotient. Complete parts a) through d) below.
a) What is the final number?
The final number is
b) Arbitrarily select some different numbers and repeat the process, recording the original number and the results.
The final number is
c) Can you make a conjecture about the relationship between the original number and the final number?
O A. The final number is always the same as the original number.
O B. The final number is always 5.
O C. The final number is always 2 times the original number.
O D. The final number is always - of the original number.
d) Try to prove, using deductive reasoning, the conjecture you made in part (c).
O A. Pick a number n. Add 2 to the number, n +2. Add this value to the original number, 2n + 2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+ 5. Then subtract 5 from this and multiply by 2 to reach the final number, 2n.
O B. Pick a number n. Add 2 to the number, n+2. Add this value to the original number, 2n +2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+ 5. Then subtract 5 from this to reach the final number, n.
O C. Pick a number n. Add 2 to the number, n +2. Add this value to the original number, 2n + 2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+5. Then subtract the original number, n, from this to reach the final number, 5.
OD.
Pick a number n. Add 2 to the number, n+2. Add this value to the original number, 2n +2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+5. Then subtract 5 from this and divide by 2 to reach the final number, n.
Transcribed Image Text:Pick any number and add 2 to it. Find the sum of the new number and the original number. Add 8 to the sum. Divide the new sum by 2 and subtract the original number from the quotient. Complete parts a) through d) below. a) What is the final number? The final number is b) Arbitrarily select some different numbers and repeat the process, recording the original number and the results. The final number is c) Can you make a conjecture about the relationship between the original number and the final number? O A. The final number is always the same as the original number. O B. The final number is always 5. O C. The final number is always 2 times the original number. O D. The final number is always - of the original number. d) Try to prove, using deductive reasoning, the conjecture you made in part (c). O A. Pick a number n. Add 2 to the number, n +2. Add this value to the original number, 2n + 2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+ 5. Then subtract 5 from this and multiply by 2 to reach the final number, 2n. O B. Pick a number n. Add 2 to the number, n+2. Add this value to the original number, 2n +2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+ 5. Then subtract 5 from this to reach the final number, n. O C. Pick a number n. Add 2 to the number, n +2. Add this value to the original number, 2n + 2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+5. Then subtract the original number, n, from this to reach the final number, 5. OD. Pick a number n. Add 2 to the number, n+2. Add this value to the original number, 2n +2. Add 8 to this value, 2n + 10. Next, divide this value by 2, n+5. Then subtract 5 from this and divide by 2 to reach the final number, n.
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