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
Slav-nsk [51]
2 years ago
14

Find the value of k so that (x + 3) a factor of H(x) = 3x ^ 3 - 2x ^ 2 + kx - 3

Mathematics
1 answer:
gavmur [86]2 years ago
4 0

Step-by-step explanation:

By Factor Theorem, (x + 3) is a factor of H(x) if and only if H(-3) = 0.

3(-3)³ - 2(-3)² + (-3)k - 3 = 0

-81 - 18 - 3k - 3 = 0

3k = -102

k = -34.

You might be interested in
Solve y = −23(x + 9) + 4 for x when y = 0.
Vlad [161]

Answer:

x = -203/23

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

y = -23(x + 9) + 4

y = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                  0 = -23(x + 9) + 4
  2. [Subtraction Property of Equality] Subtract 4 on both sides:                        -4 = -23(x + 9)
  3. [Division Property of Equality] Divide -23 on both sides:                                4/23 = x + 9
  4. [Subtraction Property of Equality] Subtract 9 on both sides:                        -203/23 = x
  5. Rewrite:                                                                                                             x = -203/23
3 0
2 years ago
Read 2 more answers
Math help, please? <br> 20 points ! <br><br> Find the indicated limit, if it exists.
NNADVOKAT [17]

I think this the correct solution. but please correct me if I'm wrong

7 0
3 years ago
John haf 99 more stickers than Sally. Sally then gave John 36 more stickers. How many more stickers would John have than Sally i
densk [106]
Hi,

John haves 99 stickers. If Sally gave him 36 more that means john haves 99 + 36 = 135 more stickers than Sally.

Hope this helps.
r3t40
5 0
3 years ago
Nicole's Bikes rents bikes for $17 plus $3 per hour. Ndiba paid $41 to rent a bike. For how many hours did he rent the bike?​
NemiM [27]

Answer:

Ndiba rented the bike for 8 hours

Step-by-step explanation:

41 - 17 = 24

24 ÷ 3 = 8

7 0
2 years ago
Find a polynomial function of the lowest degree, with real coefficients, with the given roots.
makvit [3.9K]

Answer:

D

Step-by-step explanation:

Roots into factors:

x = -4 ----> (x + 4)

x = i -----> (x - i)

x = 5 -----> (x - 5)

(x + i)(x - 4)(x + 5)

(x - i)(x² - 4x + 5x - 20)

(x - i)(x² + x - 20)

x³ + x² - 20x - (ix² + ix - 20i)

x³ + (1 - i)x² - (20 + i)x + 20i

5 0
2 years ago
Other questions:
  • Evaluate √x^2 + y^2 when x^2 =20 and y^2 =10
    10·1 answer
  • Roduct.<br> 93 + (68 + 7)
    12·2 answers
  • An easy question all wrong or unhelpful or no-work answers will be reported.
    5·1 answer
  • 2 divided by 1/4 <br> pls answer as a fraction
    15·1 answer
  • Why is substitution a higher level of thinking?
    8·1 answer
  • The lines shown below are parallel. If the green line has a slope of 8, what is
    10·1 answer
  • Which two tables represent data sets that could be fit to a normal distribution curve? A. value 1 2 3 4 5 6 7 8 9 10 11 percenta
    15·2 answers
  • ASAP- What does it mean to add less than nothing to something
    10·1 answer
  • PLEASE HELP!!! IM SO CLUELESS
    7·1 answer
  • Say a joke for Brainslet<br><br> have fun!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!