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
tiny-mole [99]
3 years ago
11

Prove that there exists a unique real number solution to the equation x3 + x2 − 1 = 0 between x = 2/3 and x=1

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0
Replace each of the x values given to see if they give 0. 

0=(2/3)³+(2/3)²-1 
0=(8/27)+(4/9)-1 
0≠-0.259

0=(1)³+(1)²-1 
0≠1

Therefore, you can see that the solution would have to be between 2/3 and 1.

Hope I helped :) 
You might be interested in
Solve for x. x−2.7 ≥ 10.3x
Nana76 [90]
0.23893805309 \geq x
4 0
3 years ago
On Halloween 4 friends each received 4⁄5 of a pound of candy. How much candy did they receive total?
Leokris [45]

Answer:

16/5 or 3 1/5

Step-by-step explanation:

Your equation would be 4/5*4 which equals 16/5

4 0
3 years ago
Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circl
torisob [31]
Please note that pi has just one value.  The only difference stems from round-off error when you don't use all of the digits following "3.14159 ... " to represent the value of pi.  The formula for circumference is C = 2 pi r, or C = pi d, 
where r=radius and d=diameter.

Circle A:  Diameter 9 inches and Circumference of 28.26 inches

If the diameter is 9 inches, then C = 28.26 inches = pi (9 inches).  Divide 28.26 inches by 9 inches.  Note that you MUST round off the ratio (pi) that you obtain, since 28.26 has 4 significant figures and 9 has just one.

28.26
------- = 3.14, but because 9 has just one significant figure, you must round 
    9           this 3.14 to just 3.


6 0
3 years ago
There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations
Anna71 [15]
13C10 = 13C3 = 13x12x11/(1x2x3) =
"286 ways".
4 0
3 years ago
Read 2 more answers
A town has a population of 17000 and grows at 3% every year. What will be the population after 7 years, to the nearest whole num
Pepsi [2]

Answer:

122570


(17000*1.03)7


4 0
3 years ago
Read 2 more answers
Other questions:
  • Distributive property of 5 x (3+4)
    10·2 answers
  • Factor 4z squared plus 4z minus 15
    7·1 answer
  • Find the GCF of 6 and 18.
    14·2 answers
  • Find the formula for the nth term of these sequences:
    12·1 answer
  • HELPPPP I need help with this question!!!!
    6·1 answer
  • Sara was thinking of a number. Sara halves the number and gets an answer of 38.5. Form an equation with x for the information
    12·1 answer
  • HELP ME PLEASE IM SO DESPERATE TO ANSWER THIS, ILL BE SO THANKFUL TO YALL
    15·1 answer
  • 75 over negative 1<br> Over 5
    6·1 answer
  • [(3x-2)(x+6)]-[(x-1)(2x)]=103 steps
    15·1 answer
  • Horizontal translation 5 unitss left
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!