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Write the following as an algebraic expression. negative three times the value of increased by 5.
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Identify the phrase "negative four divided by the sum of a and five halves." This means the numerator is -4 and the denominator is the sum of a and 5/2.
Write the numerator as \(-4\).
Write the denominator as the sum of \(a\) and \(\frac{5}{2}\), which is \(\left(a + \frac{5}{2}\right)\).
Combine the numerator and denominator into a single fraction to represent division: \(\frac{-4}{\left(a + \frac{5}{2}\right)}\).
This fraction correctly represents "negative four divided by the sum of a and five halves."