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
Leno4ka [110]
3 years ago
7

What’s the difference quotient simplified

Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

\text{Use}\ (a+b)^3=a^3+3a^2b+3ab^2+b^3\\\\f(x+h)\to\text{exchange x to x + h}\\\\f(x)=x^3+3x\\\\f(x+h)=(x+h)^3+3(x+h)\\\\f(x+h)=x^3+3x^2h+3xh^2+h^3+3x+3h\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{x^3+3x^2h+3xh^2+h^3+3x+3h-(x^3-3x)}{h}\\\\=\dfrac{x^3+3x^2h+3xh^2+h^3+3x+3h-x^3-3x}{h}\\\\=\dfrac{(x^3-x^3)+3x^2h+3xh^2+h^3+(3x-3x)+3h}{h}\\\\=\dfrac{3x^2h+3xh^2+h^3+3h}{h}\\\\=\dfrac{h(3x^2+3xh+h^2+3)}{h}\\\\=\boxed{3x^2+3xh+h^2+3}

You might be interested in
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
inessss [21]

Answer:

(a). <em>y = 3x - 11 ;</em> (b). <em>y = </em>-\frac{1}{3}<em> x - 1 </em>

Step-by-step explanation:

Parallel lines have the same slopes

Slopes of perpendicular lines are opposite reciprocals.

(3, - 2)

The slope of given line is 3

<em>(a)</em>. Equation of ║ line is

y + 2 = 3(x - 3)

<em>y = 3x - 11</em>

<em>(b).</em> Slope of perpendicular line is -\frac{1}{3}

y + 2 = -\frac{1}{3} (x - 3)

<em>y = </em>-\frac{1}{3}<em> x - 1</em>

5 0
3 years ago
Read 2 more answers
The chemical formula for sulfuric acid is H2SO4. If the weight of the acid was 1470 grams, how much did the sulfur weigh? (H, 1;
Rom4ik [11]

Answer:

480.61g S

Step-by-step explanation:

I'm not sure what you meant in the parenthesis though. If you want the answer sig-figged it would be 481 g S. My work is attached, hope it helps!

5 0
3 years ago
Please help me. this is hard
allochka39001 [22]
Since it is a square that means each side is equal.
The perimeter is 24, and since there is four sides we would divide it by four to find the length of each side.

24/4 = 6

Each side is 6.
By looking at the picture, one side of the square, is the length of the radius.

The radius of the square is 6.

The only thing left to do is to find the circumference.
The circumference formulas are:

C = \pid
C = 2\pir

We can use the first one Diameter x pi (3.14)
To find the diameter we would just multiply the radius by two.

6 x 2 = 12

Diameter = 12

So multiply it by pi

12 x 3.14 = 37.68
or D 12\pi



7 0
3 years ago
In Nathan's baseball card.Collection 58% of the cards are players from the national league. He has 702 baseball cards. About how
Sergeu [11.5K]
He has 407 players more in national league than in American league
5 0
3 years ago
Help me fill in the blanks<br><br> 6x + __ =3<br> (__ + 5)
Virty [35]

Answer:

<u>15</u>

<u>2x</u>

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Which expression is equivalent to the given expression?<br><br> 8(3/4a)−8
    11·1 answer
  • Write an equation in slope-intercept form for the line with slope -3/4 and y intercept -3
    6·1 answer
  • Number 2 , answer ? I don’t know the answer and I need help
    5·1 answer
  • Giving extra points and brainliest
    15·1 answer
  • Find the slope of the line that is perpendicular<br> Y=3x+5
    10·2 answers
  • Bella wants to save for a vacation in three years and this vacation costs $2300 . She deposits $2000 into a bank earning 5% inte
    11·1 answer
  • For what value of “a”are the graphs of 5y = -2x + 10 and 3y = aX- 15 parallel
    10·1 answer
  • What is 1 over 2 multiplied by 1 over 5?
    6·2 answers
  • P lease help me. I need fast results please!!!
    14·2 answers
  • 1. How much interest
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!