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
jok3333 [9.3K]
3 years ago
13

Factor out the gcf then factor the remaining trinomial.

Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0

Answer:

6(x - 1)(3x + 1)

Step-by-step explanation:

Given

18x² - 12x - 6 ← factor out 6 from each term

= 6(3x² - 2x - 1) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 1 = - 3 and sum = - 2

The factors are - 3 and + 1

Use these factors to split the x- term

3x² - 3x + x - 1 ( factor the first/second and third/fourth terms )

= 3x(x - 1) + 1(x - 1) ← factor out (x - 1)

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

Hence

18x² - 12x - 6 = 6(x - 1)(3x + 1) ← in factored form

You might be interested in
Given y = 2(x-3) and a domain of (-3,-2 and 5). Find the range.
alexandr402 [8]
The answers are (-3,-12), (-2,-10), (5,4)
4 0
2 years ago
Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y
Charra [1.4K]

I assume you mean y_1=t^{-1}, and not y_1=t-1, since this doesn't satisfy the ODE.

Assume a second solution of the form y_2=vy_1, where v is a function of t. Then

{y_2}'=v'y_1+v{y_1}'

{y_2}''=v''y_1+2v'{y_1}'+v{y_1}''

Substituting into the ODE gives

t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0

\implies tv''+v'=0

\implies(tv')'=0

\implies tv'=C

\implies v'=\dfrac Ct

\implies v=C_1\ln|t|+C_2

\implies y_2=\dfrac{\ln t}t

where we omit the second term because it's already accounted for by y_1.

3 0
3 years ago
What is 500 rounded to the nearest hundred
rosijanka [135]

Answer: 500

Step-by-step explanation:

The reason why it's 500 because it's already been rounded. 500 stays as 500 bc numbers 4 and below goes down to 0 when rounding. When rounding 0-4 with just the ones place it stays the same.

3 0
3 years ago
Resolve into factors. p4+7p2q2+16q4​
uranmaximum [27]

Step-by-step explanation:

p⁴+8p²q²+16q⁴

(p²)²+2×p²×4q²+(4q²)²

We know that,

  • (a+b)²=a²+2ab+b²

Therefore,

  • (p²)²+2×p²×4q²+(4q²)²
  • (p²+4q²)²
  • (p²+4q²)(p²+4q²)
7 0
2 years ago
Solve for x. 6x + 9 + 4x + 2 = 21
Pie

Answer:

6x + 9 + 4x + 2 = 21 \\ 6x + 4x + 11 = 21 \\ 10x + 11 = 21 \\ 10x = 21 - 11 \\ 10x = 10 \\ x =  \frac{10}{10}  \\ x = 1

<h3> <u>PLEASE</u><u> MARK</u><u> ME</u><u> BRAINLIEST</u></h3>
5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x.<br><br> 6x=2x+48
    8·2 answers
  • You roll a pair of fair six-sided dice. The sample space of 36 possible outcomes is shown below. Based on this information, answ
    15·1 answer
  • Will give brainliest! Please explain how I solve the ratio 16/32=12/24
    12·2 answers
  • Name two decimals that are equivalent to 7.75
    7·1 answer
  • If Isaac were born four
    11·1 answer
  • The measure of an angle is nineteen times the measure of a supplementary angle. what is the measure of each angle?
    8·1 answer
  • Brenda wants to buy a sweater that is regularly priced at $27. She can apply one of two coupons $5 off or 25% off. Which should
    6·1 answer
  • A rectangle is a quadrilateral with four right angles and congruent diagonals. To prove that the points A(-4, 52), B(3, 92), C(4
    10·1 answer
  • A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat c
    6·1 answer
  • Please help with the question on the picture
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!