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
vodomira [7]
3 years ago
5

Consider the statement "2 is a factor of n2 + 3n."

Mathematics
1 answer:
deff fn [24]3 years ago
5 0

Answer:

The answer is the last one:

4 , 10 , 18 , (k + 1)² + 3(k + 1) and k² + 5k + 4

Step-by-step explanation:

∵ 2 is a factor of n² + 3n

∵ n = 1 ⇒ ∴ (1)² + 3(1) = 1 + 3 = 4 ⇒ 2 is a factor of 4

∵ n = 2 ⇒ ∴ (2)² + 3(2) = 4 + 6 = 10 ⇒ 2 is a factor of 10

∵ n = 3 ⇒ ∴ (3)² + 3(3) = 9 + 9 = 18 ⇒ 2 is a factor of 18

∵ n = k + 1 ⇒ ∴ (k + 1)² + 3(k + 1) ⇒ before the simplify

∵ n = k + 1 ⇒ ∴ k² + 2k + 1 + 3k + 3 = k² + 5k + 4 ⇒ after simplify

You might be interested in
Determine the approximate circumference of a circle with diameter 18 units.
Sphinxa [80]

Answer: 56.549 or 56.5

Explanation:

C= (pie) 3.14 * d = 2 * 3.14 * r

D= 18

C = 3.14 * 18 = 18 * 3.14

C = 56.549 or 56.5

8 0
2 years ago
Good at math & need points? help!!
Greeley [361]

Answer:

5

Step-by-step explanation:

5 0
2 years ago
Substititue 5 for x. Is the solution true?<br> 3x + 4 - x = 4x - 6
Aloiza [94]

Answer:

It's a true solution.

Step-by-step explanation:

3(5) + 4 - 5 = 4(5) - 6

15 + 4 - 5 = 20 - 6

19 - 5 = 14

14 = 14

3 0
2 years ago
-<img src="https://tex.z-dn.net/?f=%5Csqr%5Csqrt4-x%20%2B%5Csqrt%7B4-x" id="TexFormula1" title="\sqr\sqrt4-x +\sqrt{4-x" alt="\s
tankabanditka [31]

-2-x+\sqrt{-x+4}

8 0
3 years ago
Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?
Slav-nsk [51]

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

4 0
3 years ago
Other questions:
  • Evaluate the function rule for the given value
    15·2 answers
  • 2. 3m - 9n = 24 solve for m<br>​
    10·1 answer
  • -5,3,-2,1,-1,0 what is next number
    10·1 answer
  • Last year alvina contributed 85$ per month toward her 401k account if her employer matched 20% of her contributions, what was th
    7·1 answer
  • Please help i don't understand
    13·1 answer
  • PLZ SOMEBODY HELP ME! THIS IS A REALLY HARD QUESTION! Madison represented the sentence “The product of 3 and the difference of N
    6·2 answers
  • Multiply and simplify. b^3•b•b^4•b^2​<br>plz help asap<br>like in the next 5-10 minutes
    5·1 answer
  • Subtract. (5r2+5r+9)–(3r+2)
    10·1 answer
  • HELP PLEASE THIS IS DUE IN 30 MIN PLEASE HELP URGENT
    15·2 answers
  • All other things being equal, by how much will nominal GDP expand if the central bank increases the money supply by $100 billion
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!