Y=14.94x+109.5. where x represents the number of years after 2000, and y represents the number of mobile wireless subscribers. what is the y intercept?

y=14.94x+109.5. where x represents the number of years after 2000

y represents the number of mobile

Y intercept is the value when number of years x is 2000

It means y intercept is the value when x=0

To find y intercept , we plug in 0 for x

y=14.94x+109.5

y=14.94(0)+109.5

y = 109.5

y intercept is (0,109.5)

The number of mobile is 109.5 in the year 2000

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.

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