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
Montano1993 [528]
4 years ago
12

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = x3 + x − 9, [0, 2]

Mathematics
1 answer:
Cerrena [4.2K]4 years ago
5 0
\frac{f(2)-f(1)}{2-1}= \frac{2^3+2-9-(1^3+1-9)}{1}=8+2-9-1-1+9=8
 \\ 
derivative of f(x)  =3x^2+1,3x^2+1=8,3x^2=7,x= \sqrt \frac{7}{3}
which supports the mean value theorem, you want even better news
if the function is a polynomial it will always follow the mean value theorem
You might be interested in
Find the perimeter of a rectangle that had a length of 2x+ 7 and a width of 5x
JulijaS [17]
The answer to the question

5 0
3 years ago
Solve for the variable. 5y = 60<br><br><br><br> Solve for the variable.<br> 2x = 50
UNO [17]
Y = 12 and x = 25 because using inverse operations, 50 ÷ 2 = 25 and 60 ÷ 5 is 12.
5 0
3 years ago
Read 2 more answers
Solve for Y. 1/8 &gt; y &gt; 18%
Advocard [28]

Answer:

The solution is  (-∞, 0.125) ∪ (0.18,∞)

Step-by-step explanation:

we have

\frac{1}{8} > y > 18\%

This is a compound inequality

y > 18\%  or y < \frac{1}{8}

Remember that

18\%=18/100=0.18

\frac{1}{8}=0.125

so

y > 0.18 -----> the solution is the interval (0.18,∞)

y < 0.125 ----> the solution is the interval  (-∞, 0.125)

The solution of the compound inequality is

(-∞, 0.125) ∪ (0.18,∞)

3 0
4 years ago
4x+28-12x=32 need it asap​
frez [133]

Answer: look below.

x = −1/2

8 0
3 years ago
Read 2 more answers
A salesman must commute 1 hour and 48 minutes from his house to the airport, fly to another city and take a bus to his destinati
irina [24]
5 hours and 54 minutes.
4 0
3 years ago
Read 2 more answers
Other questions:
  • 10 POINTS!!
    12·2 answers
  • You must start with what mathematical operator to create a formula?
    11·2 answers
  • Help me please ❤️❤️❤️❤️
    10·1 answer
  • Keith plans to buy a car in the future. He currently has $3,000 saved up to buy the car. How much money (x) does he need to save
    11·1 answer
  • (1-7x)(1+9x) multiplying polynomial by polynomial I need help on this one!
    5·1 answer
  • The system shown has (blank)<br> solution(s).<br> y= -x+1<br> 2y - x = 2
    14·1 answer
  • What is the volume of a cone with a diameter of 6 units and a height of 16 units?
    13·1 answer
  • A rectangular prism had a volume of 99 cubic centimeters. The length of this prism was changed from 3 centimeters to
    5·1 answer
  • What is the least common multiple of 2 and 11? Enter your answer in the box.
    15·1 answer
  • Compare.<br><br> Select &lt;, &gt;, or = .<br><br> 6 yd 216 in. Which is bigger
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!