55.0k views
5 votes
Which choice is equivalent to the quotient shown here for acceptable

values of X?
√25(x-1) + √5(x-1)²
OA. √25(x-1)-5(x-1)²
OB. 5/1(x-1)
OC. √125(x-1)3³
OD. √5(x-1)

User Cerlin
by
8.1k points

1 Answer

2 votes

Final answer:

Upon simplifying the expression √25(x-1) + √5(x-1)², we find that none of the provided options (A, B, C, D) match the simplified result of 6(x-1).

option b is the correct

Step-by-step explanation:

The student has asked which choice is equivalent to the quotient shown, with the expression being √25(x-1) + √5(x-1)². To find an equivalent expression, we need to simplify it. First, let's break down the square roots where possible. We know that √25 is 5 and the second term can be simplified because the square root and the square cancel each other out, leaving us with just (x-1).

Now, the expression looks like this: 5(x-1) + (x-1). Combining like terms, we add the coefficients in front of (x-1), resulting in 5 + 1 times (x-1), which simplifies to 6(x-1). We can see that none of the provided options directly match this, and the closest option B is incorrect because it has 5 instead of 6 as the coefficient. Hence, none of the given options are equivalent to the provided quotient for acceptable values of X.

User Mgiuca
by
8.4k points

Related questions

asked Apr 4, 2024 204k views
Constantinius asked Apr 4, 2024
by Constantinius
8.5k points
1 answer
2 votes
204k views
asked Nov 14, 2024 162k views
Jason Hoch asked Nov 14, 2024
by Jason Hoch
7.5k points
1 answer
2 votes
162k views
1 answer
2 votes
7.0k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.