Evaluate the following expression when x = 4 and y = 5:

Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.
3.8
14.83
19.58
23.5

Respuesta :

Answer:

23.5

Step-by-step explanation:

substitute x = 4 and y = 5 into the expression

= [tex]\frac{4^2+5^3}{2+4}[/tex]

= [tex]\frac{16+125}{6}[/tex] = [tex]\frac{141}{6}[/tex] = 23.5


The value of the given expression [tex]\frac{x^2+y^3}{2+x}[/tex] for x=4 and y=5 is 23.5. So, option D) 23.5 is correct. This is calculated by substituting the x and y values in the expression.

Given expression:

It is given that the expression is a fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator is written as [tex]\frac{x^2+y^3}{2+x}[/tex].

It is given that the values of x and y are x=4 and y=5

Evaluating the expression:

On substituting the values x=4 and y=5 in the given expression we get,

= [tex]\frac{(4)^2+(5)^3}{2+4}[/tex]

= [tex]\frac{16+125}{6}[/tex]

= [tex]\frac{141}{6}[/tex]

= 23.5

Therefore, the value of the given expression is 23.5 for x=4 and y=5.

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