Question

Narine is solving the equation = 6 for q. Her work is shown. = 6 = 62 3q = A q = B What are the correct values for A and B? A = 6 B = 2 A = 9 B = 3 A = 12 B = 4 A = 36 B = 12

Answer 1

The answer is D

A = 36

B = 12

Explanation:

That's the option the other dude put but like. . . simple

=D

Answer 2

Question:

Narine is solving the equation
`√(3q) = 6` for q. her work is shown

`√(3q) = 6`

`√(3q)^(2) = 6^2`

`3q = A`

`q =B`

What are the correct values for A and B?

Answer:

`A = 36` and
`B = 12`

Explanation:

Given the above set of expressions

Find A and B

Recall her step 2

`√(3q)^(2) = 6^2`

From laws of indices;

`√(a^2) = a`

So, the expression becomes

`3q = 6^2`

Also, from laws of indices;

`{a^2} = a * a`

So, the expression becomes

`3q = 6 * 6`

`3q =36`

Given that
`A = 3q`

This implies that
`A = 36`

Recall that
`3q =36`

Divide both sides by 3

`(3q)/(3) =(36)/(3)`

`q =(36)/(3)`

`q =12`

Given that
`q =B`

This implies that
`B = 12`