If x equals negative 2 and y equals the square root of 12, then begin expression . . . 2 times the quantity . . . 3 times x raised to the third power, plus 2 times y raised to the second power . . . end expression . . . equals

Respuesta :

I don't understand your question, expressions do not end with equal signs. Or are you just asking how to write the expression?

2*((3*x)^3)+2(y^2)    then simply replace the x with "-2" and y with "sqrt(12)"
2*(-2)^3+2(12)
-16+24
8

Answer:

The value of given expression at x = -2 and y = [tex]\sqrt{12}[/tex] is 0

Step-by-step explanation:Given expression : 2 times the quantity 3 times x raised to the third power, plus 2 times y raised to the second power .

WE have to evaluate the value of given expression at  x equals negative 2 and y equals the square root of 12 that at x = -2 and y = [tex]\sqrt{12}[/tex]

Given expression can be represented mathematically as,

[tex]2(3x^3+2y^2)[/tex]

First we simplify the given expression,

[tex]\Rightarrow 2(3x^3+2y^2)[/tex]

Put  x = -2 and y = [tex]\sqrt{12}[/tex] , we get

[tex]\Rightarrow 2(3(-2)^3+2(\sqrt{12})^2)[/tex]

On simplifying, we get,

[tex]\Rightarrow 2(3(-8)+2(12)[/tex]

[tex]\Rightarrow 2(-24+24)[/tex]

[tex]\Rightarrow 2(0)[/tex]

[tex]\Rightarrow 0[/tex]

Thus, the value of given expression at x = -2 and y = [tex]\sqrt{12}[/tex] is 0

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