Answer: y=-4x+13
Explanation : because it is :)
The first graph.
if it is greater then 3 the circle is not filled. if it is greater then OR EQUAL TO 3 then the dot will be filled.
hope this helps!!
Of two angles and the included side of one triangle are congruent to the corresponding to the corresponding parts of another triangle hen the triangles are congruent. I really don't think there is additional information to prove if the triangles are congruent by using ASA.
Hopes this helps
1.The second industrial revolution refers to the changes in manufacturing and building, and the new inventions brought about by the introduction of inexpensive steel. After the Second Industrial Revolution cites were overcrowded because of the need of jobs for people. The streets of cities were overcrowded which had sanitation issues so, lots of people were getting sick as a result. Crime grew as a result of not enough police and because it was easy to lose the police in crowds of people. Devices such as cars, electric lights, and telephones made the middle class's life more enjoyable. People who did urban planning reforms such as trolly parks made it so the working class could spend their extra time and money on something enjoyable.
2.One of the largest effects that we still deal with all over the war is Slavery. The Atlantic Slave Trade is a well-known trade route used to trade slaves and items through Africa.Through the trade and conquering of Africa by the Europeans, weapons and processed items were traded with the Africans.The trade of items allowed major groups to prosper and continue to grow. This eventually resulted in large African kings defending their lands against the powerful Europeans when they attacked.
3.Nationalism is patriotic feelings towards your country. Nationalism can cause terror or hate to other nations that you see as a threat to your way of life. I'll give you one example so as not to do the work for you. The Nazi's were a great example of strong nationalism.
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.
