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kenny6666 [7]
2 years ago
15

The sum of two integers is 8 and their product is -20.What are the integers?​

Mathematics
1 answer:
emmasim [6.3K]2 years ago
8 0

Answer:

The answer to your question is

x = -2 and y = 10     or   x = 10 and y = -2

Step-by-step explanation:

          x + y = 8   (1)      from (1)    x = 8 - y

         xy = - 20    (2)

       

Solve them by substitution

      (8 - y) y = - 20

      8y - y² = -20

      y² - 8y - 20 = 0

   ( y - 10) (y + 2) = 0

    y - 10 = 0              and      y + 2 = 0

   <u> y1 = 10 </u>                               <u>y2 = -2</u>

 x1 = 8 - 10                             x2 = 8 - -2

 <u>x1 = -2</u>                                  <u> x2 = 10</u>

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Answer:

<em>2/3 of the jar was filled with flour</em>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

<em>A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.</em>

<em />

Given

<em>Amount a jar can hold a = 3/4 of a pound of flour</em>

<em />

<em>If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds</em>

<em />

<em>Fraction of jar filled will be expressed as b/a as shown;</em>

<em>b/a = (1/2)/(3/4)</em>

<em>b/a = 1/2 ÷ 3/4</em>

<em>b/a = 1/2 * 4/3</em>

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<em>Simplify to the lowest term</em>

<em>a/b = 2*2/2*3</em>

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<em />

<em>Hence 2/3 of the jar was filled with flour</em>

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