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
Brrunno [24]
3 years ago
10

Is there any real number exactly one less than its cube intermediate value theorem?

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0

Answer:

≈ 1.32471795725...

Explanation:

If x is one less than its cube, then

x = x³ - 1,

x³ - x - 1 = 0

so f(x) = ? would be an appropriate (continuous) function to apply the Intermedate Value Theorem on some appropriate interval to see if it takes on the value 0 in that interval.

f(x) = x³ - x - 1

For large x the left hand side is positive, for x = 0 it is negative. The root can be calculated exactly, it is given by:

\sqrt[3]{\frac{1}{2} + \sqrt{\frac{1}{4} - \frac{1}{27} }  } + \sqrt[3]{\frac{1}{2} - \sqrt{\frac{1}{4} - \frac{1}{27} }  }

≈ 1.32471795725...

You might be interested in
The diagram shows an isosceles right
Pachacha [2.7K]

Answer:1. 1.0 1.0 1.4

Step-by-step explanation:

5 0
2 years ago
3.Write the product as a trinomial. (2r – 5)(r + 10)
Maurinko [17]
B is the correct answer

5 0
3 years ago
Read 2 more answers
a family buys a car for $20,000. the value of the car decreases about 20% each year. after 6 years, the family decides to sell t
Neporo4naja [7]
No, the car is losing value not gaining it.
7 0
3 years ago
Read 2 more answers
Determine the coordinate of the point shown. It’s on a (3,-5) (1,-2) (1.5, -2.5) (-2.5, 1.5)
Sveta_85 [38]

Answer:

its a function

slope form:y+5=-1.18·(x-3)

(-2.5,1.5)

Step-by-step explanation:

4 0
2 years ago
FIRST ANSWER WILL RECEIVE BRAILIEST!!
Artist 52 [7]

Answer:

the truck will over load with 13 refrigerators and 8 pianos

Step-by-step explanation:

13 refrigerators is 2600 lbs

8 pianos is 4200 lbs

both added together is 6800 lbs

the truck can only hold 5900 so 13 refrigerators and 8 pianos is too heavy

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is equivalent to a 60% decrease?
    14·1 answer
  • If the cubic function P(x) includes the points (−4, 0), (0, 0), and (2, 0), which of the following represents this function?
    15·1 answer
  • 44 friends evenly divided up an nnn-slice pizza. One of the friends, Harris, ate 111 fewer slice than he received. How many slic
    10·2 answers
  • Please help. thanks
    5·1 answer
  • When the piggy bank was opened, it yielded $4.05 in nickels and pennies. If there were 157 nickels and pennies altogether, how m
    8·1 answer
  • Play for English class. It takes you 1.2
    7·1 answer
  • Which shows 7.75 expressed as a percent? (A) 7750% (B) 7.75% (C) 77.5% (D) 775%
    7·1 answer
  • How to solve the indefinite integral
    5·1 answer
  • At a factory that produces pistons for cars, Machine 1 produced 174 satisfactory pistons and 116 unsatisfactory pistons today. M
    5·1 answer
  • Please help out!! Im giving 25 pts!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!