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stiks02 [169]
3 years ago
10

Consider the function ( ) round( ) f xx , which rounds the input, x, to the nearest integer. Is this function one-to-one? Expla

in or justify your answer.
Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

It is not a one to one function

Step-by-step explanation:

Required

Determine if f(x) = round(x) is a one to one function

This question is best answered using illustrating values;

Let x = 1.1

f(x) = round(x) becomes

f(1.1) = round(1.1)

f(1.1) = 1

Let x = 1.3

f(x) = round(x) becomes

f(1.3) = round(1.3)

f(1.3) = 1

Notice that for the two values of x, f(x) has the same value of 1.

This two illustrating values can be used to conclude that the fuction is not one-to-one.

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Choose one of the factors of x15 − 64. (2 points)
Lorico [155]

We have been given the function x^{15}-64

Convert this expression in difference of cubes form.

x^{15}-64\\=(x^5)^3-4^3

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

x^3-y^3=(x-y)(x^2+xy-y^2)

On applying this formula, we get

(x^5-4)(x^{10}+4x^5+16)

Hence, the factors of the given expression are

(x^5-4) \text{ and }(x^{10}+4x^5+16)

Out of the given option, A is the correct option.

x^5 − 4 is the required factor.

6 0
3 years ago
Read 2 more answers
Divide each of the following numbers by 10. a. 9.48 b. .6 c. 84.5 d. .0024 e. .3678 f. 25
DedPeter [7]

Answer:

1.) 0.948

2.)0.06

3.)8.45

4.).00024

5.)0.03678

6.)2.5

Hope this helps you some!!

6 0
3 years ago
Read 2 more answers
Simplify the expression 35e^9/5e^8
erastovalidia [21]

\frac{35e {}^{9} }{5 {e}^{8} }  \ \\  \\   \frac{7e {}^{9} }{e {}^{8} }  \\  \\  \\  = 7e

Step By Step Explanation:

  • Reduce: Reduce the fraction with 5
  • Simplify: Simplify the expression

Alternate Forms:

  • 19.02797

<h3>☆彡Hanna</h3>
5 0
3 years ago
jace read 66 pages in 1 and 3/5 hours. if he continues reading at the same rate, how many pages will he read in an hour?
Ilia_Sergeevich [38]

Answer:

156

Step-by-step explanation:

1 3/5 of an hour is 96 you get that by addind 60 mins with 36(3/5) then just add 60 mins

i believe this is right if you have any questions let me know

6 0
3 years ago
4x-y=3 is it linear or no
valentina_108 [34]

Answer:NO dodo its wrong you cant d o 1 side to toehr u gotta do left to right then side to side the denominatior!:)

Step-by-step explanation:

EASY

6 0
3 years ago
Read 2 more answers
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