Which expressions have a value of 60 when h=3? Choose two correct answers.
Group of answer choices

1....(h+1)^3 - 4

2.....(4h)^2 + 36

3....4h^2+ 24

Respuesta :

Answer:

(1) & (3)

Step-by-step explanation:

Given

List of options

Required

Select which is equal to 60 when h = 3

To do this, we simply substitute 3 for h in all of the options.

1.

[tex](h + 1)^3 - 4[/tex]

[tex](3 + 1)^3 - 4[/tex]

[tex]4^3 - 4[/tex]

[tex]64 - 4[/tex]

[tex]60[/tex]

Hence:

[tex](h + 1)^3 - 4= 60[/tex]

2.

[tex](4h)^2 + 36[/tex]

[tex](4*3)^2 + 36[/tex]

[tex](12)^2 + 36[/tex]

[tex]144 + 36[/tex]

[tex]180[/tex]

Hence:

[tex](4h)^2 + 36=180[/tex]

3.

[tex]4h^2 + 24[/tex]

[tex]4*3^2 + 24[/tex]

[tex]4 * 9 + 24[/tex]

[tex]36 + 24[/tex]

[tex]60[/tex]

Hence:

[tex]4h^2 + 24 = 60[/tex]