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
Lina20 [59]
3 years ago
11

Compute the difference​ quotient, StartFraction f (x plus h )minus f (x )Over h EndFraction f(x+h)−f(x) h​, for the function f (

x )equals 3 x squaredf(x)=3x2​, and simplify.
Mathematics
1 answer:
lawyer [7]3 years ago
4 0

Answer:

The difference quotient for f(x)=3x^2 is 3 h + 6 x.

Step-by-step explanation:

The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by

\frac{f(x+h)-f(x)}{h}

So, for the function f(x)=3x^2 the difference quotient is:

To find f(x+h), plug x+h instead of x

f\left(x+h\right)=3 \left(h + x\right)^{2}

Finally,

\frac{f\left(x+h\right)-f\left(x\right)}{h}=\frac{\left(3 \left(h + x\right)^{2}\right)-\left(3 x^{2}\right)}{h}

\frac{3\left(\left(h+x\right)^2-x^2\right)}{h} \\\\\frac{3(h^2+2hx+x^2-x^2)}{h} \\\\\frac{3h\left(h+2x\right)}{h}\\\\3h+6x

The difference quotient for f(x)=3x^2 is 3 h + 6 x.

You might be interested in
Need help remembering how to solve f(x)=5x2
nata0808 [166]
F(x)=5*2
the f(x) stands for a normal X like any other algebraic equation. so all it is, is 5 times 2, which is 10.
so,
f(x)=5*2
f(x)=10<span />
3 0
3 years ago
WILL MARK BRINLIEST. Can someone help me wit den two questions?
VLD [36.1K]

Answer:1. B 2. D

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Two of the angles in a triangle measure 57º and 25°. What must be the measure of the
ira [324]

The measure of the third angle in the triangle is 104 degrees

<h3>How to determine the measure of the third angles?</h3>

Let the three angles in the triangle be x, y and z.

Such that:

x = 51

y = 25

The sum of angles in a triangle is 180 degrees.

So, we have:

x + y  + z = 180

Substitute known values

51 + 25 + z = 180

Evaluate the sum

76 + z = 180

Subtract 76 from both sides

z = 104

Hence, the measure of the third angle is 104 degrees

Read more about triangles at:

brainly.com/question/21735282

#SPJ1

5 0
1 year ago
The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also
Pie

Answer:

<u>150</u>

Step-by-step explanation:

So I will shorten Eric, and Bob's names as E, and B.

So the equations are this

B-E = B+E - 240, E as Eric, and B as Bob, and this E+B=9(E-B)

Move the variables and you get

-2E =- 240

Just divide them both by -2

and E=120

So when we know the value of E we can just plug it into the 1st question

120+B=9B+1080

Moves the Variables and numbers to the other side

8B=1200

1200/8= 150

B=150

There is Bob's weight

6 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Gemiola [76]

Answer:  (D) <em>bottom right graph</em>

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: f(x) = a(x - h)² + k,    where

  • (h, k) is the vertex
  • |a| is the vertical stretch
  • sign of "a" determines the direction of the parabola

Given g(x) = (x - 3)² - 5

  • vertex (h, k) = (3, -5)
  • vertical stretch |a| = 1
  • sign of "a" is positive so parabola points up

The only graph that satisfies all of these conditions is the bottom right.

7 0
3 years ago
Other questions:
  • I need more help on percents
    15·1 answer
  • If 3 1/2 pounds of bananas cost $1.96, how much would one pound cost?
    6·1 answer
  • Under what circumstances does the system of equations Qx+Ry=S and Y=Tx+S have infinitely many solutions?
    7·1 answer
  • How to solve -6x + 5y=-6 -3y
    6·1 answer
  • Which one's the easiest? I need help uwu.
    9·1 answer
  • How do u graph x&gt;4 on a x and y graph?
    11·1 answer
  • Explain how to estimate the square root of 1659
    5·1 answer
  • Patrick counts on to solve 9+?=16 Explain how he can do this. What is the missing addend? Enter your answers in the boxes. Patri
    14·1 answer
  • The camp cook made 3 1/2 pints of baked beans. Each serving of beans is 1/2 of a pint. How many servings of beans did the cook m
    12·1 answer
  • How would you describe the plant’s growth over 6 weeks? Please help I will give you brainly!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!