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2. Calcula el valor numérico de la siguiente expresión algebraica para los valores de las variables que se indican en cada caso:

a) [tex]3a^2b + 2a[/tex]

Para [tex]a = -0.5[/tex] y [tex]b = \frac{2}{3}[/tex]

Sagot :

GinnyAnswer
Para resolver la expresión algebraica \(3a^2b + 2a\) con los valores \(a = -0.5\) y \(b = \frac{2}{3}\), seguimos estos pasos:

1. Sustituir los valores de \(a\) y \(b\) en la expresión:
[tex]\[ 3(-0.5)^2\left(\frac{2}{3}\right) + 2(-0.5) \][/tex]

2. Calcular \(a^2\):
[tex]\[ (-0.5)^2 = 0.25 \][/tex]

3. Multiplicar \(a^2\) por \(3\):
[tex]\[ 3 \times 0.25 = 0.75 \][/tex]

4. Multiplicar el resultado por \(b\):
[tex]\[ 0.75 \times \frac{2}{3} = 0.5 \][/tex]

5. Calcular \(2a\):
[tex]\[ 2 \times (-0.5) = -1 \][/tex]

6. Sumar los resultados obtenidos:
[tex]\[ 0.5 + (-1) = -0.5 \][/tex]

Entonces, el valor numérico de la expresión \(3a^2b + 2a\) para \(a = -0.5\) y \(b = \frac{2}{3}\) es:
[tex]\[ -0.5 \][/tex]
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