Mathematics, 08.07.2019 07:50 emo239

Two negative integers are five minutes apart on the number line, and their product is 126. what is the sum of the two integers?

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Answer from: spearjj

First I will assume that this problem can be reworded as follows: "Two negative integers are five units apart on the number line."

Let the first (the smaller) negative integer be x and the second y. Note that y, being bigger than x, can be represented by y=x+5.

First find the 2 integers. Their product is 126, so x(x+5)=126.
Expanding, x^2 + 5x - 126 = 0. Using the quadratic formula to solve this,

-5 plus or minus sqrt(529) -5 plus or minus 23
x = =
2 2
-5 -23
We are interested only in negative integers, so take x =
2

Then x = -28/2, or x = -14. Then y is x+5, or -14+5 = -9.

Check: does the product of -9 and -14 equal 126, as it must? YES.

Answer from: Quest

answer set (b) 0.5, 3/4 80% is in order from least to greatest.

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form. typically, the best form in which to evaluate rational numbers is in decimals. in order to convert a percent to a decimal, you would divide the given percentage by 100. you can also accomplish the conversion by moving the decimal point over two places to the left. for example, the decimal value of 80% is 80/100, or 0.8. in order to convert a fraction to a decimal, you need to divide the numerator by the denominator. for example, 3/4 is 0.75. so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.

Answer from: Quest

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Two negative integers are five minutes apart on the number line, and their product is 126. what is t...