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
Anuta_ua [19.1K]
3 years ago
7

let f(x) = x^3+3x^2-x-3. Find the polynomial function each of whose roots are two less than the roots of f(x)​

Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Step-by-step explanation:

f(x) = x³ + 3x² - x - 3 = x²(x + 3) - (x + 3)

= (x² - 1)(x + 3) = (x + 1)(x - 1)(x + 3).

The roots of f(x) are x = -3, -1 and 1.

=> The new roots are x = -5, -3 and -1.

=> g(x) = (x + 5)(x + 3)(x + 1) = x³ + 9x² + 23x + 15.

You might be interested in
ASAP PLEASE HELP <br> Using this relationship, what is the value of each function composition?
Vinvika [58]

Answer:

Step-by-step explanation:

Not sure what the clear dot means, but the following is always true:

h(k(any number, let’s say N))=N.

5 0
3 years ago
Write an equation to represent each function.
JulsSmile [24]

Answer:

Ques 1 - y=2x+1

Ques 2 - y=12x+2

Step-by-step explanation:

Ques 1: From the table, we see the relation,

5 = 2 × 2 + 1

9 = 2 × 4 + 1

13 = 2 × 6 + 1

17 = 2 × 8 + 1

21 = 2 × 10 + 1

That is, the relation from the table is given by, y=2x+1, where x is the input and y is the output.

Hence, the required equation is y=2x+1.

Ques 2: From the table, we see that,

2 = 12 × 0 + 2

14 = 12 × 1 + 2

26 = 12 × 2 + 2

38 = 12 × 3 + 2

50= 12 × 4 + 2

That is, the relation from the table is given by, y=12x+2, where x is the input and y is the output.

Hence, the required equation is y=12x+2.

3 0
3 years ago
A museum offers a 2 hour guided group tour. For groups with fewer than 35 people the cost is $12.25 per
Rudik [331]

Answer:

The total refund that the museum owes the 11:00am group is $28.50

Step-by-step explanation:

$12.25*38 = $465.50

$11.50*38 = $437

Subtract: $465.50 - $437 = $28.50

5 0
3 years ago
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an hourly rate of $28. T
kvasek [131]

Answer

1.) B

2.)  3 hours

Step-by-step explanation:

1.)  option B is correct I think because it shows he will either be equal to or less than how much money he wants to spend

2.) i got three because if you sent up the equal I picked in question one then you subtract 28 from 250 giving u 222 and you divide that by 65 giving you 3.4 but he only charges by the whole hour so that .4 of an hour he wouldn't charge you for

7 0
3 years ago
If there are 1,200 calories in 8 oz of hot fudge, how many calories are in 1,500 men, how many women are there?
Allisa [31]
1200/8 = 150 thus, 150 per calorie. 150 x 3 = 450 :)
7 0
3 years ago
Other questions:
  • What's 36% as an irreducible fraction?<br> Choices:<br> 4/25<br> 17/25<br> 9/25<br> 11/37
    10·2 answers
  • Can someone please help me :)
    14·1 answer
  • Find the equation of the line that has a slope of 3 and passes through the point (-5,4)
    12·2 answers
  • What is the angle of rotation counterclockwise about the spinner’s center that maps label j to label A?
    10·1 answer
  • What is g(x) I need your help
    12·1 answer
  • In the gift shop of the history of Flight Museum Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 fe
    6·1 answer
  • If 2 liters of sea water contain 70 grams of salt, how much salt is in 32 liters of seawater?
    10·1 answer
  • What is the answer to this equation -14=d/15
    9·1 answer
  • Find the total surface are of a cone having a diameter of base 8cm and a slant height of 12cm
    12·2 answers
  • Plzz help asp need really smart peeps
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!