Question

If 3x−y=12, what is the value of 8x2y?

A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.

Answer 1

Answer:

Answer:

One approach is to express

8x

2y

so that the numerator and denominator are expressed with the same base. Since 2 and 8 are both powers of 2, substituting 23 for 8 in the numerator of

8x

2y

gives

(23)x

2y

which can be rewritten

23x

2y

Since the numerator and denominator of have a common base, this expression can be rewritten as 2(3x−y). In the question, it states that 3x−y=12, so one can substitute 12 for the exponent, 3x−y, which means that

8x

2y

=212

The final answer is A.

Step-by-step explanation:

hope it helsp

Answer 2

Step-by-step explanation:

If 3x-y=12, what is the value of 8x2y?

This problem is ambiguous.

The given equation has rational solutions because gcd( 3 , 1 ) = 1|12.

3x − y = 12 ⟹ y = 3x − 12.

Letting x = t , where t is a constant, get the parametric equations

x = t, y = 3t − 12.

What is 8x2y? Here is where the ambiguity comes in. It is either 16xy or it is 8x²y.

x = t, y = 3t − 12

⟹ 16xy = 16t (3t − 12)

= 48t² − 19t²,

8x²y = 8t²(3t − 12)

= 24t³ − 96t²,

t an integer.

So there are many answers for this problem. Choose values of t to get some.

If you don't want to use the parameter t, then have that

16xy = 48x² − 192x and

8x²y = 24x³ − 96x².

However, these look complicated.

it's your channe.l :- Brainly Wala