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barxatty [35]
2 years ago
13

What is the additive inverse of ?

Mathematics
1 answer:
AVprozaik [17]2 years ago
8 0
In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. This operation is also known as the opposite (number), sign change, and negation. ... For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0 .
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Andrew
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Let's say Bailey takes "b" days to paint it.

and Andrew takes "a" days to paint the same house.

now, Andrew is 6 times faster than Bailey, therefore, if Andrew takes "a" days to do it, Bailey takes then "6a" days, or b = 6a.

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\bf \stackrel{\textit{Andrew's rate}}{\cfrac{1}{a}}+\stackrel{\textit{Bailey's rate}}{\cfrac{1}{b}}=\stackrel{\textit{1 day of work}}{\cfrac{1}{7}}&#10;\\\\\\&#10;\cfrac{1}{a}+\cfrac{1}{6a}=\cfrac{1}{7}\impliedby &#10;\begin{array}{llll}&#10;\textit{let's multiply all by }\stackrel{LCD}{42a}\textit{ to toss the}\\&#10;denominators&#10;\end{array}

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