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
Katarina [22]
2 years ago
7

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = – 3. The y-intercer

Mathematics
1 answer:
grigory [225]2 years ago
6 0

9514 1404 393

Answer:

  P(x) = -1/2(x -3)²(x +3)

Step-by-step explanation:

When q is a root of the polynomial, (x-q) is a factor. This polynomial will be ...

  P(x) = a(x -3)²(x +3)

For x=0, the y-intercept will be ...

  P(0) = 27a = -13.5

Then the value of a is ...

  a = -13.5/27 = -1/2

The formula for P(x) is ...

  P(x) = -1/2(x -3)²(x +3) . . . . . . factored form

  P(x) = -0.5x³ +1.5x² +4.5x -13.5 . . . . standard form

You might be interested in
Compute the standard deviation of the following set of data to the nearest whole number:
Klio2033 [76]

Answer:

Step-by-step explanation:

The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.

The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get

\bar{x}=14 and use this to find the variance in the formula:

s^2=\frac{\sum(x_i-\bar{x})^2}{n} it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:

s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}

Squaring this ensures us that we don't end up with zero, which would be useless.

s^2=\frac{36+4+1+9+16}{5} so

s^2=13.2 which means that the standard deviation is

s = 3.633

(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)

3 0
2 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
sineoko [7]

Answer:

The value of x =2 and y= 2, because they are congruent and 2+2=4

3 0
2 years ago
Read 2 more answers
Find the sum of (x + 5),(-4x - 2) and (2x - 1)
Elina [12.6K]

Answer:

-x + 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

(x + 5) + (-4x - 2) + (2x - 1)

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                     -x + 5 - 2 - 1
  2. Combine like terms (Z):                     -x + 2
7 0
3 years ago
Read 2 more answers
What is the degree classification of this polynomial?<br> x^2+4x-8
Darina [25.2K]

You can find the degree classification by what is the greatest power shown in the polynomial. In this case, your answer is 2. Remember, it will be easier to find the degree when you order the terms from greatest to least by powers.

6 0
3 years ago
I need help!!!please tell me the answer!!!
Misha Larkins [42]
Sorry wanna points bfbdjudi
4 0
3 years ago
Other questions:
  • Which of the following shows 27/54 written in Prime factored form to help in reducing the fraction to simplest form?
    11·1 answer
  • A plumbers bill is £463.20 plus VAT. The current rate of VAT is 20% what is the actual cost of work done
    7·1 answer
  • There are 18 muffins on a plate. If they are split equally among 9 people, how many muffins will each person get?
    14·2 answers
  • How many pounds can de a ton
    13·2 answers
  • Marta has gone for a walk and has covered three quarters of the total route so far. If she still has 2 kilometres to walk, how l
    9·1 answer
  • -1+(-4)=? What is the answer
    9·2 answers
  • What does the word "flip" tell you to do in "Keep, Change, Flip" for dividing fractions?
    11·2 answers
  • Find the distance CD rounded to<br> the nearest tenth.<br> C = (7,-4) and D = (-8,-5)<br> CD = [?]
    11·1 answer
  • A jewelry store bought a gold necklace and marked it up 110% from the original cost of $23.52. Later on, Dean purchased the gold
    11·1 answer
  • Find the next number in the sequence: 10, 37, 82, 145, 226,
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!