Priya is comparing two functions: f(n)=10⋅n2 and g(n)=3⋅2n to find out which has greater output values as n gets very large. Which has larger output values?

Step-by-step explanation:

Priya is comparing two functions: and g(n)=3(2n)  

and g(n)=3(2n)  

Put n=1 we get

and g(1)=3[2(1)]

f(1)=10 and g(1)=6

Put n=2 we get

and g(2)=3[2(2)]

f(2)=10(4) and g(2)=3.(4)

f(1)=40 and g(1)=12

and so on

Therefore the f(n) has greater output values as n gets large value

Therefore f(n) has larger output values

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x