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
I need help on question a and b. please help me asap?!?!?
Stolb23 [73]
It isn’t possible to draw a graph on here
3 0
3 years ago
The table show the relationship of how many pounds of cherries are needed to make a certain number of pies: pies 6 12 18 cherrie
Nataly_w [17]
M=dc/dp=4/6=4/6=2/3

c(p)=2p/3 +b  using (6,4)

4=2(6)/3+b

4=4+b, b=0 so

c(p)=2p/3  

(the number of cherries needed as a function of the number of pies)
3 0
3 years ago
A highway passes under a road. The clearance height is 7.75 feet write and graph an inequality that represents the height of a v
san4es73 [151]
0 is less than or equal X is less than 7.75
8 0
3 years ago
Write the converse of the following statement:
Shkiper50 [21]

Answer:

Option 4 (If it is fall, then the trees have no leaves).

Step-by-step explanation:

Conditional Statements are the statements which involve "if" and "then". It contains two sets of statements in it. The statement after the word "if" is the hypothesis, and the statement after the word "then" is the conclusion. Conditional statements are written in the form "If A, then B"; where A is the hypothesis, and B is the conclusion. The converse of a conditional statement is the opposite of the original statement: hypothesis and conclusion replace each other. So the converse of the above statement will be "If B, then A".

In this case, A=The trees have no leaves and B=It is fall. Therefore, the converse will be:

If it is fall, then the tress have no leaves. Option 4 is the right answer!!!

5 0
3 years ago
It cost Naomi $7.70 to send 154 text messages how many text messages did she send if she spent $5.25
igomit [66]

Answer:

105 text messages

Step-by-step explanation:

7.70 divied by 154 = 0.05

0.05 per text massage

5.25 divided by 0.05 = 105

to check work:

105 times 0.05 = 5.25

8 0
3 years ago
Other questions:
  • A forest fire covers 2006 acres at time t equals 0. the fire is growing at a rate of 8 startroot t endroot acres per hour, where
    12·1 answer
  • Evaluate -4 1/3 + 5 2/3 show work
    15·1 answer
  • Square the following numbers 4 6 13 10​
    8·1 answer
  • What is the area of the area of this figure? use 3.14 for pi
    7·1 answer
  • The two-way table below describes the attendance at a movie theater at various times of the day.
    12·2 answers
  • Estimate the difference by rounding off to nearest tens . <br> 6723 - 751
    9·1 answer
  • Help! I don't know how to do this, you could explain or help pls pls pls<br><br>(2x2+7x−4)+(−10x−4)​
    15·1 answer
  • Which expression is equivalent to 6y?
    13·1 answer
  • 6.5(6.24-1.69)=?<br> pls help
    10·2 answers
  • How would you get 20/x to equal 25/10. Not in highschool. im in middle school. Also plz show work
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!