1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miskamm [114]
3 years ago
15

The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. mc018-1.jpg How many roots of f(x) are rational numbers?

Mathematics
2 answers:
drek231 [11]3 years ago
8 0
There are three rational roots
BaLLatris [955]3 years ago
8 0

Answer: there are 3 root of f(x)  which are rational numbers (2,0), (3,0) and (4.5,0)

Explanation:

Rational numbers are those that can be written in the form of p/q: q should not be equal to zero

since, the graph cuts x-axis at three points but rational are two

all integers are rational numbers

attached is the graph please have a look at it

You might be interested in
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Seven h
Arisa [49]

Answer:

Step-by-step explanation:

Suppose the dimensions of the playground are x and y.

The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore,  y= 780/2-3/2x. Now, the total area (A )to be fenced is

A=x*y= x*(390-3/2x)=-3/2 x^2+390x

Calculating the derivative of A and setting it equals to 0 to find the maximum

A'= -3x+390=0

This yields x=130.

Therefore y=780/2-3/2*130=195

Thus, the maximum area is 130*195=25,350ft^2

8 0
3 years ago
Is (11,9), (11,5), (9,3) a function
Marina86 [1]

Answer:

\huge{ \boxed{ \sf{No}}}

✑ Question :

  • Is ( 11 , 9 ) , ( 11 , 5 ) , ( 9 , 3 ) a function ?

No , it's not a function.

✎ Reason :

This is not a function because one element 11 of set A is associated to elements 9 and 5 of set B.

♨ Explore about function :

↪ Function is a special type of relation. It is the refinement of relation. In a relation from A to B , every element of set A should have only one ( distinct ) image in B to be a function. In other words , if no two different ordered pairs have the same first component , then it is a function.

Hope I helped!

Have a wonderful day ! ツ

~\sf{TheAnimeGirl} ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

7 0
2 years ago
Watch help video Given mn, find the value of x. (6x-3)⁰ (2x+13)°​
Ilia_Sergeevich [38]

Answer:

x = 4

Step-by-step explanation:

(6x - 3)° = (2x + 13)° are vertical angles that equal each other get x by itself and solve for x.

(6x - 3)° = (2x + 13)°

6x - 2x = 13 + 3

4x = 16

x = 4

Substitute x for the angles.

(6x - 3)° = ?

(6*4 - 3)° = ?

(24 - 3)° = 21°

(2x + 13)° = ?

(2*4 + 13)° = ?

(8 + 13)° = 21°

8 0
1 year ago
Cheryl regularly checks her bank account balance online. Yesterday her account balance was $67.12. Today the balance is -$2.56.
AURORKA [14]
Just by simply adding the two quantities you can get the net change.  $67.12 +(addition sign because we want the net change) $2.56= $69.68.  The last number is the net change!
8 0
3 years ago
Solve each equation. Type only the number solution, without x =
ra1l [238]
1. X = 14
2. X = 120
3. X = 9.24
4. X = 16
5. X = 193.6
6. X = 11
7. X = 7.8
8. X = 446.4
9. X = 26.25
10. X = 6.6
11. X = 9
12. X = 2.01
4 0
3 years ago
Read 2 more answers
Other questions:
  • Each of the 3 twins sleep in a twin bed. They all need sheets. At a store they have sheets that are 50% off and each sheet is 18
    12·1 answer
  • How to solve sum of integers between square roots?
    7·1 answer
  • a car with a 20 gallon gas tank can go 25 miles on 1 gallon of gas. if the tank is full at the begining of the trip, how many ti
    6·1 answer
  • 1.263 x 10^9 - 1.525 x 10^7
    5·2 answers
  • Lily invested $750 in a savings account and earned $225 in interest at the end of 5 years. 
    15·2 answers
  • One angle is four times as large as a second angle of the angles are supplementary find the number of degrees in the smaller ang
    13·1 answer
  • For what x-values is the graphed function decreasing?
    14·1 answer
  • Plot the points (-6,8) and (-6,-3) on the coordinate plane below.
    9·1 answer
  • A large 32x+1 square units
    6·1 answer
  • A man 1.8 m tall observes the angle of elevation of a tree to be 26 degrees, if he is standing bf 16 m from the tree find the he
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!