Absolute cable company bills on a monthly basis. each bill includes $30.00 service fee plus $4.75 in taxes and $2.99 for each movie purchased. the following expression describes the cost of the cable service per month: 34.75 + 2.99m. if absolute cable lowers the service fee, how will the expression change?

cost = 34.75 + 2.99m

where m is the number of movies purchased per month.

If Absolute cable lowers the service fee ($30), how will the expression change?

cost = 30.00 + 4.75 + 2.99m

The 30.00 will be lowered. Therefore, the cost will decrease.

The cost [constant] will decrease.

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.

the answer is d

step-by-step explanation: