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
Vesnalui [34]
2 years ago
6

The function

Mathematics
1 answer:
Stella [2.4K]2 years ago
6 0

Answer:

  • The smaller one is x = 3
  • and the larger one is x = 6

Step-by-step explanation:

A "critical number" is a function argument where the function has zero or undefined slope. A polynomial function never has undefined slope, so we're looking for the x-values where f'(x) = 0.

A graphing calculator easily shows the points that have zero slope. They are found at x = 3 and x = 6.

_____

Setting the derivative to zero is another way to find the points with zero slope:

  f'(x) = 6x^2 -54x +108 = 6(x^2 -9x +18) = 6(x-3)(x-6)

The derivative will be zero where the factors are zero, at x=3 and x=6.

The critical numbers are x=3 and x=6.

You might be interested in
what is the slope of a line parallel to the line whose equation is y= -5/2x+7. fully simplify your answer
Feliz [49]

Answer:

-5/2

Step-by-step explanation:

7=intersect of y

-5/2=Slope

7 0
2 years ago
lamars bowling scores were 124, 150, and 161, during league competition. if lamars previous bowling average was a 129, how much
Darina [25.2K]
43 is the correct answer


8 0
3 years ago
Read 2 more answers
Which one of the relationships described is not proportional?
ivann1987 [24]

Answer:

Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

Step-by-step explanation:

i just did it

8 0
3 years ago
The sum of two numbers is 90. The larger
Jobisdone [24]

Answer:

Small number = 19

Larger no. = 3(19)+14 = 71

Step-by-step explanation:

x + 3x + 14 = 90

4x + 14 = 90

4x = 90 - 14

x = 76 / 4 = 19

8 0
3 years ago
Paul's bathtub is clogged. He has to empty 30 liters of water by hand. Paul has a 3-liter, a 4-liter, and a 5-liter bucket. If P
tiny-mole [99]
5 and 3 = 8 liters ,  5 and 4 = 9 liters, and 3 and 4 = 7 liters.

8 + 7 + 8 + 7 = 30 liters, so he can take the 5 liter bucket with the 3 liter bucket twice, and then use the 3 liter bucket and the 4 liter bucket twice.
5 0
3 years ago
Other questions:
  • What is (7×10)+(4×1)+(9×1\100)+(2×1\000
    6·2 answers
  • Help me fast plz I need help
    12·2 answers
  • Describe the points with a double inequality. I need the answer quick. Thanks!
    5·1 answer
  • Solve the equation d/3=11
    15·1 answer
  • Please help! Twenty students are arranged randomly in a row for a class picture. Paul wants to stand next to Phyllis. Find the p
    15·1 answer
  • The square root of 83 can be plotted on the number line below,
    13·1 answer
  • I need Serious help here!
    5·2 answers
  • F(3) if f(x) = 2x+2 helpppppppppppppppppp
    7·1 answer
  • Pls Help. Just need a little help on the problem need to know how to find the answer and help getting the answer pls and thank y
    7·1 answer
  • Someone pls help with this<3
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!