laila7222008
contestada

If x=3 and y=4,which expression below has the largest value?

A.
[tex] {x}y^{2}[/tex]
B.
[tex]x {}^{2} y[/tex]
C.
[tex] {x}^{2} + {y}^{2} [/tex]
D.
[tex] {x}^{2} - {y}^{2} [/tex]
​

Respuesta :

Answer:  Choice A

========================================================

Explanation:

Let's plug x = 3 and y = 4 into the expression for choice A.

[tex]xy^2 = 3*4^2 = 3*16 = 48[/tex]

Then repeat for the expression in choice B

[tex]x^2y = 3^2*4 = 9*4 = 36[/tex]

So far, the result for choice A is larger.

Now let's check choice C

[tex]x^2+y^2 = 3^2+4^2 = 9+16 = 25[/tex]

Choice A is still the largest

and lastly choice D

[tex]x^2-y^2 = 3^2-4^2 = 9-16 = -7[/tex]

---------------------

The summary of values we got were

  • A = 48
  • B = 36
  • C = 25
  • D = -7

Choice A is the largest, while choice D is the smallest.

Otras preguntas