Write an equation that gives the proportional relationship of the graph.
a) y =
1
3
x
b) y = 2x
c) y = 3x
d) y = 6x

C)

Step-by-step explanation:

The proportional equation is given by :

where represents constant of proportionality.

The value of can be found out by dividing the -value by the corresponding -value.

The points on graph is given as:

(0,0),(2,6),(12,4),(18,6) and (24,8)

So, the value of using point (2,6) can be calculated as :

∴

Thus the proportional relationship of the graph is given by :

 (Answer)

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92