Answer:
Step-by-step explanation:
<u>Given points</u>
<u>Slope-intercept form</u>
<u>Slope of the line is</u>
- m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3
<u>The y-intercept is:</u>
- 2a = -2/3*a + b
- b = 2a + 2/3a
- b= 8/3a
<u>So the line is:</u>
Answer:
The answer is False
Step-by-step explanation:
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.
The answer is 4/5 because there are 20 in total squared and circles but the total shapes is 25 so simplify the fraction 20/25=4/5
