Question

Simplify into one fraction. Fraction 1: 8 times x over the quantity x minus 8; Fraction 2: 2 over the quantity x minus 8. Find Fraction 1 minus Fraction 2.

(1 point)
Responses

The quantity 8 times x plus 2 over the quantity x minus 8
Image with alt text: The quantity 8 times x plus 2 over the quantity x minus 8

The quantity 8 times x minus 2 over the quantity x minus 8
Image with alt text: The quantity 8 times x minus 2 over the quantity x minus 8

The quantity 8 times x plus 2 over the quantity x minus 8 squared
Image with alt text: The quantity 8 times x plus 2 over the quantity x minus 8 squared

The quantity 8 times x minus 2 over the quantity x minus 8 squared
Image with alt text: The quantity 8 times x minus 2 over the quantity x minus 8 squared

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is: The quantity 6 times x over the quantity x minus 8.

Answer 2

uh thats not one of the following answers

Answer 3

[AI-generated answer — Bot GPT 3.5]

My apologies for the error. Let's simplify Fraction 1 and Fraction 2 before subtracting them:

Fraction 1: 8x/(x - 8)
Fraction 2: 2/(x - 8)

Now we subtract Fraction 2 from Fraction 1:

(8x/(x - 8)) - (2/(x - 8))

To combine the two fractions, we need a common denominator of (x - 8):

= (8x - 2)/(x - 8)
= 6x/(x - 8)

Therefore, the simplified form of Fraction 1 minus Fraction 2 is 6x/(x - 8).

Answer 4

there is no 6 in the answers

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the oversight. Let's try simplifying the expression again:

Fraction 1: 8x/(x - 8)
Fraction 2: 2/(x - 8)

Subtracting Fraction 2 from Fraction 1:

(8x/(x - 8)) - (2/(x - 8))
= (8x - 2)/(x - 8)
= 2(4x - 1)/(x - 8)

Therefore, the answer is 2(4x - 1)/(x - 8).

Answer 6

simplify this question into one fraction

8x/x-8 - 2/x-8

Answer 7

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 8x/(x - 8) - 2/(x - 8) into one fraction, both fractions need to have the same denominator. Since the denominators are the same, we can combine the numerators and keep the common denominator:

(8x - 2)/(x - 8)

Therefore, the simplified expression of 8x/(x - 8) - 2/(x - 8) is (8x - 2)/(x - 8).