Can someone me with algebra? what is the least common denominator of the fraction 7 over 3 x plus the fraction 2 over x plus the fraction x over x minus 1? 3x − 1 3(x2 − 1) 3(x − 1) 3x(x − 1) in advanced : ))

The least common denominator of the fraction is:

                            3x(x − 1)

We are given a algebraic expression in terms of the variable x as follows:

The fraction 7 over 3 x plus the fraction 2 over x plus the fraction x over x minus 1.

Mathematically it is expressed as follows:

Hence, on taking the Least common Multiple we get:

which is given by:

        Hence, the answer is:

                3x(x-1)

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

answer: y=4000x+14000

step-by-step explanation: