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
BartSMP [9]
3 years ago
9

For the polynomial function ƒ(x) = x4 − 12x3 + 46x2 − 60x + 25, find all local and global extrema.

Mathematics
1 answer:
rodikova [14]3 years ago
4 0
\bf f(x)=x^4-12x^3+46x^2-60x+25\\\\
-------------------------------\\\\
\cfrac{df}{dx}=4x^3-36x^2+92x-60\implies 0=4x^3-36x^2+92x-60
\\\\\\
0=x^3-9x^2+23x-15\impliedby \textit{doing some synthetic division with 5}
\\\\\\
0=(x^2-4x+3)(x-5)\implies 0=(x-3)(x-1)(x-5)\\\\
-------------------------------\\\\
\begin{cases}
f(1)=0\leftarrow minimum&1,0\\
f(3)=16\leftarrow maximum&3,16\\
f(5)=0\leftarrow minimum&5,0
\end{cases}\impliedby \textit{3 extrema, locals and globals}
You might be interested in
What are the solutions of the system 7x + 3y=-3 and y= -2*?
mafiozo [28]

Answer:

opt 4

Step-by-step explanation:

when x=0, 0+3y= -3, so y=-1    (0,-1) is solution

         when x=3 , 21+3y=-3,  3y= -3-21= -24

                                                    y= -8                  (3,-8) is also solution

8 0
3 years ago
Solve for X<br> 6(x + 2) = 66<br> X =
ioda

Answer:

6(x+2)=66

6x+12=66 -12

6x= 54 :6

x=9

Step-by-step explanation:

prove me wrong

4 0
3 years ago
Multiplying positive and negative fractions 2/5 times 2/3
Svet_ta [14]

Answer:

\frac{4}{15}

Step-by-step explanation:

I used an online Fraction calculator to check my answer and I got 4/15 both times so you can trust this answer my friend.

Hope this helped you out.

5 0
2 years ago
A bag contains 10 black marbles and 6 red marbles. If a red
bonufazy [111]

Answer:

66.67% probability of selecting a black marble from the bag.

Step-by-step explanation:

Initially there are 16 marbles, 10 of which are black and 6 of which are red.

A red marble is drawn and not put back. So now there are 15 marbles, of which 10 are black.

So there is a 10/15 = 2/3 = 0.666% 7 = 66.67% probability of selecting a black marble from the bag.

7 0
3 years ago
The period of a pendulum is given by the equation
sattari [20]

Answer: g > 0

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression is equivalent to 6a + 15? A. 6(a + 5) B. 3(2a + 5) C. 3(3a + 12) D. 6(a + 12) PLEASE HELP :)
    15·2 answers
  • If there is 4 apple trees for every three pear trees but for every 2 avocado trees there is 5 pear trees she is planning to plan
    8·1 answer
  • Help with this question? <br> 20 points!
    6·2 answers
  • A Pringles chip can has a diameter of about 2.8 inches and a height of about 11.8 inches (close to real measurement) what volume
    13·1 answer
  • I don’t know the answer to this question, I need help the question is in the picture!
    12·1 answer
  • Two destinations A and B are located on an east-west line 152 miles apart. From A to the starting point, S, bearing is N62 ° E,
    11·1 answer
  • Evaluate the expression 2[x(2y+3z)] when x=8, y=3, and z=1<br><br> plz help me
    14·1 answer
  • Factorise m2+10m-24 please step by step​
    13·2 answers
  • In your own words, explain the steps you would need to take to find a slope from data in a table.
    7·2 answers
  • Evaluate: <img src="https://tex.z-dn.net/?f=%5Csqrt%7B100-36%7D%20%2B%2032%20-%201" id="TexFormula1" title="\sqrt{100-36} + 32 -
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!