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
s344n2d4d5 [400]
2 years ago
15

Find and simplify the difference quotient of the form

a%7D%20%2C%20x%5Cneq%20a" id="TexFormula1" title="\fra\frac{f(x)-f(a)}{x-a} , x\neq a" alt="\fra\frac{f(x)-f(a)}{x-a} , x\neq a" align="absmiddle" class="latex-formula">
f(x)=3x^2+x ,a =4

What is the difference quotient?
Mathematics
2 answers:
spayn [35]2 years ago
8 0

If f(x)=3x^2+x, then

f(4) = 3\cdot4^2+4 = 52

so that the difference quotient is

\dfrac{f(x)-f(a)}{x-a} = \dfrac{3x^2+x-52}{x-4}

Factorize the numerator:

3x^2+x-52 = (3x+13)(x-4)

Then for <em>x</em> ≠ 4, we have

\dfrac{f(x)-f(a)}{x-a} = \dfrac{(3x+13)(x-4)}{x-4} = 3x+13

Ilia_Sergeevich [38]2 years ago
6 0

Answer: 3x + 13

Step-by-step explanation:

f(x)=3x^2+x\\f(a)=3a^2+a\\f(4)=3*4^2+4=52\\\\f(x)-f(4)=3x^2+x-52=(x-4)(3x+13)\\\\\dfrac{f(x)-f(4)}{x-4} =\dfrac{3x^2+x-52}{x-4} \\\\if\ x \neq 4\ then \\\\\dfrac{f(x)-f(4)}{x-4} =\dfrac{(x-4)(3x+13)}{x-4} \\\\=3x+13\\

You might be interested in
Help me please. good day
Vladimir79 [104]

Answer:

A. 8

Step-by-step explanation:

you do 8/25 and it gives you 0.32

hope this helps :)

5 0
3 years ago
What is the answer for 13y-2b= 15y?
Tpy6a [65]
13y-2b=15y
2b=2y
2b=2y
2b=2y
7 0
3 years ago
A standardized test that colleges use to make admissions decisions is the _____.
Aloiza [94]

Answer:

D

Step-by-step explanation:

EXPLORE test is the college test ACT's "prep" version mostly for 8th and 9th graders.

ASVAB (Armed Services Vocational Aptitude Battery) test is used for military entrance exam.

PLAN is also like EXPLORE that it is a "prep" test for ACT but usually given to sophomore (10th grade) students. This has been discontinued from 2014, though.

SAT is a standardized test administered by College Board and is a widely used common Undergraduate University admissions exam. Colleges use this to make admissions decisions.

Thus, D is the correct choice.

7 0
3 years ago
Read 2 more answers
200/100=8/x (and this
morpeh [17]

Answer:

x=4

Step-by-step explanation:

7 0
3 years ago
Charla wants to determine the vertex of the function f(x) = x2 – 18x + 60 by changing the function into vertex form. Which state
7nadin3 [17]

Answer:

A. the x-coordinate of the vertex is greater than the y-coordinate.

Step-by-step explanation:

hope this helps

correct me if this is wrong

6 0
3 years ago
Other questions:
  • Algebra II question please help im lost
    12·2 answers
  • Find the volume of the oblique rectangular prism with length 7 m, width 5 m, and height 6 m.
    5·2 answers
  • What is greater 4yd or 13ft
    10·2 answers
  • The length of a rectangle is five less than three times the width. The perimeter is 46 inches .Find the length and width
    9·1 answer
  • How do you solve for x is this triangle
    10·1 answer
  • Find the surface area of the prism.<br> Please help
    6·1 answer
  • What is 5x3,264-3<br><br>please help hurry test teacher mean!!!<br>​
    9·1 answer
  • Let k(w)= w+3/w+9. Find k^-1(-4)
    9·1 answer
  • What is the slope of the line in the graph? PLZ HELP ​
    14·2 answers
  • How i can answer this question
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!