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
lawyer [7]
2 years ago
12

Someone please help with all this. Show working out as well! Will mark as brainliest. Thanks

Mathematics
1 answer:
Eva8 [605]2 years ago
8 0

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

You might be interested in
dario rolled a number cube and flipped a coin. the number cube has 6 sides, each labeled either 1,2,3,4,5, and 6. what is the pr
aleksklad [387]
I can use a chart by numbers them on the chart because I think 4 should be after the 3
5 0
3 years ago
How do you calculate gross pay net pay and employee benefits
Sonja [21]

Gross pay is the amount of money your employees receive before any taxes and deductions are taken out. For example, when you tell an employee, “I'll pay you $50,000 a year,” it means you will pay them $50,000 in gross wages.

Hope this helps!!

7 0
3 years ago
Read 2 more answers
How is -16/20 and 20/-25 represent the same rational number
sammy [17]

Answer:

-.8

Step-by-step explanation:

ok so if you divide -16 by 20 you will get -0.8

and if you divide 20 by -25 your answer also be -0.8

they are equal

4 0
3 years ago
WILL MARK YOU BRAINLIEST
love history [14]
<h3><em>(8)2+(x)2=(10)2</em></h3><h3><em>64+x2=100</em></h3><h3><em>x2=100-64</em></h3><h3><em>x2=36</em></h3><h3><em>x=6</em></h3><h3><em>BE = 6</em></h3><h3><em>hope it helps..stay blessed...thank you....</em></h3>
4 0
3 years ago
Why is doing long division so complicated?
tankabanditka [31]
Simply put, its a LONGER way to do division. You take a longer time on showing the work.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A basketball team scores 37 points in one quarter is the number 37 prime or composite show your work
    12·1 answer
  • Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 600 cm and width 200 cm. She decides on
    11·1 answer
  • The first question<br><br> Is it A B C, or D?<br><br> Explain why
    14·1 answer
  • If a ball is thrown into the air with a velocity of 34 ft/s, its height (in feet) after t seconds is given by y = 34t − 16t2. Fi
    13·1 answer
  • 12 more than twice Jenny's score
    5·1 answer
  • What is <br><img src="https://tex.z-dn.net/?f=87251%20%7B2%7D%5E%7B9%7D%203%20%5Ctimes%20%5Cfrac%7B23%7D%7B25%20%5Csqrt%5B5%5D%7
    6·1 answer
  • Brian asked a group of people their favourite country . The results are summarised in the table. Destination UK Europe USA Afric
    6·2 answers
  • Find the value of (- 7) +(-8)​
    13·1 answer
  • Chemical reactions occur around us every day. Combustion releases the carbon stored in fossil fuels (eg. coal, ol, natural gases
    10·2 answers
  • In a half hour, Fred is meeting his
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!