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
aleksandrvk [35]
3 years ago
10

Factor completely 6xv^2-18xv

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Answer: 6xv( v - 3 )

Step-by-step explanation:

6xv² - 18xv

Looking into the equation critically, we could see that 6xv is common to the expression.

Therefore, the expression now becomes

6xv( v - 3 ).

You might be interested in
F(x) = -x2 – 9.2 – 4
drek231 [11]

Answer:

what is the question?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which of the following figures could have both line symmetry and rotational symmetry?
Lana71 [14]

Answer:

Triangle  and square!

Step-by-step explanation:

Let me know if im wrong and I will fix it.

6 0
2 years ago
Read 2 more answers
Excited by the recent warm weather Jill and Kelly are doing spring cleaning at their apartment. Jill takes an exponen- tially di
Basile [38]

Answer:

Step-by-step explanation:

4 0
3 years ago
What are the zeros of x^3 - 18x^2 +107x -210
trapecia [35]

Answer:

(−7)(−6)(−5) so the zeros are 5, 6, &7

Step-by-step explanation:

4 0
2 years ago
What is Limit of StartFraction StartRoot x + 1 EndRoot minus 2 Over x minus 3 EndFraction as x approaches 3?
scoray [572]

Answer:

<u />\displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} = \boxed{ \frac{1}{4} }

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]:
\displaystyle \lim_{x \to c} x = c

Special Limit Rule [L’Hopital’s Rule]:
\displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)}

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Addition/Subtraction]:
\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]
Derivative Rule [Basic Power Rule]:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:
\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given limit</em>.

\displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3}

<u>Step 2: Find Limit</u>

Let's start out by <em>directly</em> evaluating the limit:

  1. [Limit] Apply Limit Rule [Variable Direct Substitution]:
    \displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} = \frac{\sqrt{3 + 1} - 2}{3 - 3}
  2. Evaluate:
    \displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \frac{\sqrt{3 + 1} - 2}{3 - 3} \\& = \frac{0}{0} \leftarrow \\\end{aligned}

When we do evaluate the limit directly, we end up with an indeterminant form. We can now use L' Hopital's Rule to simply the limit:

  1. [Limit] Apply Limit Rule [L' Hopital's Rule]:
    \displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \lim_{x \to 3} \frac{(\sqrt{x + 1} - 2)'}{(x - 3)'} \\\end{aligned}
  2. [Limit] Differentiate [Derivative Rules and Properties]:
    \displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \lim_{x \to 3} \frac{(\sqrt{x + 1} - 2)'}{(x - 3)'} \\& = \lim_{x \to 3} \frac{1}{2\sqrt{x + 1}} \leftarrow \\\end{aligned}
  3. [Limit] Apply Limit Rule [Variable Direct Substitution]:
    \displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \lim_{x \to 3} \frac{(\sqrt{x + 1} - 2)'}{(x - 3)'} \\& = \lim_{x \to 3} \frac{1}{2\sqrt{x + 1}} \\& = \frac{1}{2\sqrt{3 + 1}} \leftarrow \\\end{aligned}
  4. Evaluate:
    \displaystyle \begin{aligned}\lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} & = \lim_{x \to 3} \frac{(\sqrt{x + 1} - 2)'}{(x - 3)'} \\& = \lim_{x \to 3} \frac{1}{2\sqrt{x + 1}} \\& = \frac{1}{2\sqrt{3 + 1}} \\& = \boxed{ \frac{1}{4} } \\\end{aligned}

∴ we have <em>evaluated</em> the given limit.

___

Learn more about limits: brainly.com/question/27807253

Learn more about Calculus: brainly.com/question/27805589

___

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

3 0
2 years ago
Other questions:
  • ~PLEASE HELP ASAP OFFERING 30 POINTS~
    13·2 answers
  • Simplify.<br> (5sqrt2-1)^2
    9·2 answers
  • Twice the difference of a number c and forty.​
    8·2 answers
  • A hotel in Las Vegas, Nevada, is the largest pyramid in the United States. Prior to the construction of the building, the archit
    6·1 answer
  • Evaluate the surface integral. s x2 + y2 + z2 ds s is the part of the cylinder x2 + y2 = 4 that lies between the planes z = 0 an
    14·1 answer
  • A can of fruit weighs 40 ounces. How many pounds does the can weigh?
    13·2 answers
  • GIVING 50 POINTS TO WHOEVER ANSWERS CORRECTLY!!!!!!
    8·2 answers
  • Which of the following best describes the pattern in the diagram as you move
    5·2 answers
  • What is the area of a rectangle that is 4 inches by 2 inches?
    8·1 answer
  • PLEASE HELP I NEED THIS BEFORE 8:00 pm
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!