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timurjin [86]
4 years ago
12

Will adding a negative number to another integer always result in a negative sum? Why?

Mathematics
1 answer:
Ghella [55]4 years ago
7 0

Answer:

  D  No, the integer with the larger absolute value always determines the sign of the sum.

Step-by-step explanation:

Suppose the integer you start with is +3. Adding -1 or -2 or -3 to that will result in 2, 1, or 0, none of which are negative. Only when you add a negative number with an absolute value greater than 3 will you get a sum that is negative. That is, <em>the number in the sum that has the largest absolute value determines the sign of the result</em>. (This is most important when the signs differ, but it is also true when the signs are the same.)

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Multiply each side of the given equation by <span>ax−2</span> (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:

<span><span><span><span>24 x ^2 </span>+ 25x </span>− 47 </span>= <span><span><span>(<span><span>−8x</span>−3</span>)</span><span>(<span>ax−2</span>)</span></span>−53</span></span>

You should then multiply <span>(<span><span>−8x</span>−3</span>)</span> and <span>(<span>ax−2</span>)</span> using FOIL.

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Then, reduce on the right side of the equation

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