Which of the following expressions is this one equivalent to?

(3x^3+15x^2+17x+3)/x+5

a. x^3-2x+5+(7/x+5)
b. 3x-17+(88/x+5)
c. 3x^2+17-(82/x+5)
d. 3x^2-5x-8-(37/x+5)

option (c) is correct,

is the equivalent fraction to the given expression

Step-by-step explanation:

Given expression ,  

We have to choose an equivalent fraction from the given options.

Consider expression (c) ,

Taking LCM , Multiply by (x+5) , we get,

On solving , we get,

On simplifying, we get,

Which is equal to the given expression.

Thus, option (c) is correct,

is the equivalent fraction to the given expression

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

the answer is c)8

step-by-step explanaction: