Answer:
The sum is 1575.
Step-by-step explanation:
Consider the provided information.
It is given that positive integers smaller than 1000 and that can be written in the form 
Where n is integer that means the value of n can be a positive number or a negative number.
For n = 0
For n=-1
For n=-2
For n = -3 the obtained number is not an integer.
Now consider the positive value of n.
For n=1
For n=2
For n=3
For n=4 the obtained number is greater than 1000.
Now add all the numbers.
Hence, the sum is 1575.
The answer is the first one
I hope that helped
Answer:
- Andre subtracted 3x from both sides
- Diego subtracted 2x from both sides
Step-by-step explanation:
<u>Andre</u>
Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.
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<u>Diego</u>
Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.
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<em>Comment on their work</em>
IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.
Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.
As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.
