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Evaluate \dfrac{3}{2}+(-k)+(-2)
2
3
​
+(−k)+(−2)start fraction, 3, divided by, 2, end fraction, plus, left parenthesis, minus, k, right parenthesis, plus, left parenthesis, minus, 2, right parenthesis where k = -\dfrac{5}{2}k=−
2
5
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k, equals, minus, start fraction, 5, divided by, 2, end fraction.

Sagot :

Facundo3141592idn

As I understand, we need to evaluate the given rational expression, we will get that the evaluated expression is equal to - 1/10

Evaluating expressions:

Evaluating an expression just means that we need to replace the variable in the expression for a given value, here we have the expression:

[tex]\frac{3}{2} + (-k) + (-2)[/tex]

And we want to evaluate it in:

[tex]k = -\frac{2}{5}[/tex]

So we just need to replace k by that value in the above expression, we will get:

[tex]\frac{3}{2} + (-(-\frac{2}{5} )) + (-2)[/tex]

Now we can just solve this:

[tex]\frac{3}{2} + (-(-\frac{2}{5} )) + (-2)\\\\\frac{3}{2} + \frac{2}{5} + (-2)\\\\\frac{15}{10} + \frac{4}{10} + (-2) = \frac{19}{10} - \frac{20}{10}= -\frac{1}{10}[/tex]

If you want to learn more about evaluating expressions, you can read:

https://brainly.com/question/4344214

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