Question

Which statements are true? Mark all that apply. A If y3 5 27, the value of y is 3. B If y3 5 64, the value of y is 4. C If y3 5 1, the value of y is 1. D If y3 5 16, the value of y is 2.

Answer 1

A If y³ = 27, the value of y is 3. B If y³ = 64, the value of y is 4. C If y³ = 1, the value of y is 1

Explanation:

Which statements are true? Mark all that apply. A If y³ = 27, the value of y is 3. B If y³ = 64, the value of y is 4. C If y³ = 1, the value of y is 1. D If y³ = 16, the value of y is 2.

Solution:

a) y³ = 27

To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:

∛y³ = ∛27

y = 3

Option A is correct

b) y³ = 64

To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:

∛y³ = ∛64

y = 4

Option B is correct

c) y³ = 1

To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:

∛y³ = ∛1

y = 1

Option C is correct

d) y³ = 16

To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:

∛y³ = ∛16

y = 2.52

Option D is wrong