Answer:
The slope is 
Step-by-step explanation:
Take the general equation of a straight line 
Here 
is the slope of the line.
So let's get the equation of the line in the question in the same form.
Add 
to both sides: 
Add 
to both sides: 
Divide by 
to get it into the general equation: 
Now compare it to the general equation to find the value of . The value of is the coefficient of 
which we can see is
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:
The answer to the picture is 19 square units if I remember correctly.
Step-by-step explanation:
5(2x - 4) = 45
10x - 20 = 45
10x = 45 + 20
10x = 65
x = 65/10 reduces to 13/2 or 6 1/2
Use a proportion.
121/16.5 = 22/m
121m = 16.5 * 22
11m = 16.5 * 2
11m = 33
m = 3
3 minutes.
