Answer:
II
Step-by-step explanation:
All the other options create a number that is smaller than 7, while the inequality suggests otherwise.
While, II create the number 9 - which is indeed bigger then 7
Glad to help ÷)
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.
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Below are the choices that can be found elsewhere:
A. rectangle; P = 26 linear units
B. square; P = 42 units2
C. parallelogram; P = 42 linear units
D. trapezoid; P = 26 linear units
The answer would be A.
Answer:
960
Step-by-step explanation:
you have to multiply 12*8*10
12*8=96
96*10=960
Answer:
Slope of PV = -4
Step-by-step explanation:
Coordinates of the vertices of the given triangle PSV,
P → (2, 4)
S → (3, 4)
V → (3, 0)
Slope of the segment between two points 
and 
is given by,
Slope = 
Therefore, slope of segment PV will be,
Slope = 
= -4
Slope of PV = -4
