The following table shows the cost of
44
4
4
party favor packs. For example, the Slinky costs
$9\$9
$9
dollar sign, 9
for a pack of
55
5
5
.
Toy pack
Cost (dollars)
Quantity
Slinky
99
9
9
55
5
5
Wind-up robot
1616
16
16
88
8
8
Yo-yo
1515
15
15
66
6
6
Emoji beach ball
33
3
3
22
2
2
Which toy pack has a cost of
$2.50\$2.50
$2.50
dollar sign, 2, point, 50
per toy?
Choose 1
Choose 1

(Choice A)
A

Slinky

(Choice B)
B

Wind-up robot

(Choice C)
C

Yo-yo

(Choice D, Checked)
D

Emoji beach ball

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.

33

step-by-step explanation: g=6

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply

step-by-step explanation:

f(gx)=f(1/x+2)

=(1/x+2)+2

=(1+2x)/2+2

=(1+2x+4)/2

= (2x+5)/2