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iren [92.7K]
3 years ago
10

Suppose f is the function f(x) = |x - 5| + 5 and f : Z -> Z

Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

No, function is not one-to-one

No, function is not onto

Step-by-step explanation:

We are  given that a function

f:Z\rightarrow Z

f(x)=\mid{x-5}\mid +5

If function is one-to-one then different x have different image .

Domain =Z

Codomain=Z

When function is onto then range=Codomain

Substitute x=1

Then ,f(1)=\mid{1-5}\mid+5=4+5=9

When substitute x=9

Then , we get f(9)=\mid {9-5}\mid +5=4+5=9

Image of 1  and 9 are same hence, function is not one-to-one.

Negative elements of Z and Zero  has no preimage.Therefore, function is not onto.

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An item is regularly priced at $15. It is on sale for 60% off the regular price. What is the sale price?​
olya-2409 [2.1K]

Answer:

$15 - 60% = $6.00

https://www.percent-off.com/_30_%25+off_39.98_

(I used this website because I lost my calutor, plus I use it to help my mom shop)

6 0
3 years ago
The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s
kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0
2 years ago
A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45. what is the 99% confidence in
bagirrra123 [75]
67.55 is the correct answe bec I add
6 0
3 years ago
Which system of linear inequalities is represented by the<br> graph?
ElenaW [278]

Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

5 0
3 years ago
A jogger goes half a mile north and then turns west. If the jogger finishes 1.3 miles away from the starting point, how far west
Ratling [72]
In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger. 
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle). 
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
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3 0
3 years ago
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