If f(x) is a third degree polynomial function and g(x) = f(2x) + 2, which of the following must be true? f(x) and g(x) have the same x-intercepts. f(x) and g(x) have the same y-intercepts. f(x) and g(x) have the same number of zeros. f(0) = g(0) – 2

Choice D) which is f(0) = g(0) - 2

Step-by-step explanation:

Plug x = 0 into the g(x) function to find that

g(x) = f(2*x) + 2

g(0) = f(2*0) + 2 replace every x with 0

g(0) = f(0) + 2

g(0) - 2 = f(0) + 2 - 2 subtract 2 from both sides

g(0) - 2 = f(0)

f(0) = g(0) - 2

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: 4 meters

step-by-step explanation: to you understand 2/3 better you can do 1 divided by 3 = . then multiply that by the 2 which is .66666666666666667 then you would do 6 x .66666666666666667 which is 4.      

hope this .