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
tresset_1 [31]
3 years ago
11

Based on the polynomial remainder theorem, what is the value of the function when x = 4?

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

124

Step-by-step explanation:

When x=4, substitute 4 into the function to give f(4).

f(4) = (4)^4 - 2(4)^3 + 5(4)^2 -20(4) -4\\f(4) = 256 - 2(64) + 5(16) - 80 -4\\f(4) = 256 -128 + 80 - 80 -4\\f(4) = 128+80-80-4\\f(4) = 208-80-4\\f(4) = 128-4\\f(4) = 124

You might be interested in
The probability that a professor arrives on time is 0.8 and the probability that a student arrives on time is 0.6. Assuming thes
saul85 [17]

Answer:

a)0.08  , b)0.4  , C) i)0.84  , ii)0.56

Step-by-step explanation:

Given data

P(A) =  professor arrives on time

P(A) = 0.8

P(B) =  Student aarive on time

P(B) = 0.6

According to the question A & B are Independent  

P(A∩B) = P(A) . P(B)

Therefore  

{A}' & {B}' is also independent

{A}' = 1-0.8 = 0.2

{B}' = 1-0.6 = 0.4

part a)

Probability of both student and the professor are late

P(A'∩B') = P(A') . P(B')  (only for independent cases)

= 0.2 x 0.4

= 0.08

Part b)

The probability that the student is late given that the professor is on time

P(\frac{B'}{A}) = \frac{P(B'\cap A)}{P(A)} = \frac{0.4\times 0.8}{0.8} = 0.4

Part c)

Assume the events are not independent

Given Data

P(\frac{{A}'}{{B}'}) = 0.4

=\frac{P({A}'\cap {B}')}{P({B}')} = 0.4

P({A}'\cap {B}') = 0.4 x P({B}')

= 0.4 x 0.4 = 0.16

P({A}'\cap {B}') = 0.16

i)

The probability that at least one of them is on time

P(A\cup B) = 1- P({A}'\cap {B}')  

=  1 - 0.16 = 0.84

ii)The probability that they are both on time

P(A\cap  B) = 1 - P({A}'\cup {B}') = 1 - [P({A}')+P({B}') - P({A}'\cap {B}')]

= 1 - [0.2+0.4-0.16] = 1-0.44 = 0.56

6 0
3 years ago
Which binomial is a factor of x^2+7x+10
Mashcka [7]

Answer:

D

Step-by-step explanation:

(x+5)(x+2)=x^2+7x+10

4 0
3 years ago
Read 2 more answers
Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination
DanielleElmas [232]

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

F + V - E = 2

Where

F \to Faces; V \to Vertices; E \to Edges

(a):\ Faces = 8; Vertices = 12; Edges = 6

Using: F + V - E = 2

8 + 12 - 6 = 2

14 = 2

<em>The above equality is false. Hence, (a) does not exist</em>

(b):\ Faces = 6; Vertices = 6; Edges = 4

Using: F + V - E = 2

6 + 6 - 4 = 2

8 = 2

<em>The above equality is false. Hence, (b) does not exist</em>

<em />

<em />(c):\ Faces = 20; Vertices = 30; Edges = 12<em />

Using: F + V - E = 2

20 + 30 - 12 = 2

38 = 2

<em>The above equality is false. Hence, (c) does not exist</em>

5 0
3 years ago
Read 2 more answers
Please help this is due tomorrow and I really don’t know how to do all I need is one answer and show work and tell me how you go
Orlov [11]

You should send a clearer picture. I have problems reading this.

8 0
3 years ago
∆ABC is an equilateral triangle. Point P is on base BC such that <br>PC = 1 /3 BC. If AB = 12 cm, find AP
Lesechka [4]

Answer:

15 I just stared so I am bad but I think I am correct

6 0
3 years ago
Other questions:
  • Elli’s age in 10 years will be the same as Peggy’s age is now. Five years from now, Peggy’s age will be twice Elli’s age. What a
    12·2 answers
  • Write an equation in slope-intercept form for the line with slope 4/3 and -3 intercept .
    12·1 answer
  • What is 4.62 expressed as an improper fraction in simplest form?
    5·2 answers
  • Find the height of the liquid in the glass pictured. Show all steps.
    15·2 answers
  • Can you please help,I will mark the Brainlest too!<br> Picture below<br> Thanks :)
    12·2 answers
  • Lunch break: In a recent survey of 643 working Americans ages 25-34, the average weekly amount spent on lunch as $43.21 with sta
    11·1 answer
  • Jennifer buys four tubs of coleslaw. She serves two-fifths of each tub onto one plate.
    10·1 answer
  • Solve 3/5x=15 <br> Please
    8·1 answer
  • If g(x) = x2 + 2, find g(3). (2 points)<br> Оа<br> 9<br> Ob<br> 8<br> Ос<br> 11<br> Od<br> 6
    11·1 answer
  • -<br> Factor Completely : 6w2 – 66w – 72
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!