For problems like this, we need to find the pattern between the set of numbers to create a general equation for f(x). Given that x is the shipment number, let us first observe the first six shipments' behavior.
1 10 |
2 16 = 10 + 1(6) |
3 22 = 10 + 2(6) |
4 28 = 10 + 3(6)|
5 34 = 10 + 4(6) |
6 40 = 10 + 5(6) |
From these, we can observe that given x number of shipments, the total number of objects would be

. Thus, given f(x), we have
Answer: f(x) = 6x + 4
Answer:
180 m²
Step-by-step explanation:
Surface area = 2 ( lw + wh + lh)
= 2( 6x3 + 3x8+8x6)
= 180 m²
Answer:
Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.
Step-by-step explanation:
First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.
However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.
Note:
If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.
Answer:
4
Step-by-step explanation:
2 plus 2 equals 4 lmk if you need more help