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
EleoNora [17]
3 years ago
10

A continuous function y=f(x) is known to be negative at x=0 and positive at x=1. Why does the equation f(x)=0 have at least one

solution between x=0 and x=1?
Mathematics
2 answers:
olga55 [171]3 years ago
8 0
Because the y values change signs from negative to positive which means the graph had to cross over the x-axis thereby creating a solution.
FromTheMoon [43]3 years ago
8 0

Answer:

Givens

It's known that the function is negative at x=0 and positive at x=1.

To answer this question, we need to use the Intermediate Value Theorem, which states:

  • If f(x) is a continuous function on [a, b], then for every k between f(a) and f(b), there exists a value c belongs to (a, b) such that f(c) = k.

Therefore, the function f(x)=0 hast a least one solution between x=0 and x=1 because the function is continuous in the closed interval [0,1], and based on the intermediate value theorem, if there exist a value inside this interval, then there's at least one solution there.

You might be interested in
How to make 25/3 in simplest form
Delicious77 [7]
You change the improper fraction into a mixed number. So 25/3 equals 8
7 0
3 years ago
What is the midpoint of the segment connecting points (3,6) and (-2,-7)
olganol [36]
X midpoint: 0.5
Y midpoint: -0.5
4 0
3 years ago
Read 2 more answers
question : fine the location of points a after a translation of 9 units up? Can someone please help me ?
ella [17]

Answer:

(-1,3)

Step-by-step explanation:

count 9 up

7 0
3 years ago
Read 2 more answers
Help me out last time on this app for this lat question big points and brainlest
Ahat [919]

Answer:

0.20m+650<775

Step-by-step explanation:

Less than 775=<775

650 is independent

8 0
3 years ago
Read 2 more answers
Yoko's fish tank has 17 liters of water in it. She plans to add liters per minute until the tank has at least liters. What are t
Korvikt [17]

MISSING DETAILS

Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?

Answer:

Minutes = 8 minutes

Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

Increment = 5 liters/minute

Size of water needed = At least 57 liters

Putting the above together, as have

17 + 5m > 57

where m represents total minutes and > represent at least

Solving the Inequality

5m > 57 - 17

5m > 40 ------ Divide through by 5

5m/5 > 40/5

m > 8

So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.

3 0
3 years ago
Other questions:
  • Substitution #1 2-8y+7y=4
    12·1 answer
  • I need help with both of these. I don’t understand
    12·1 answer
  • Is −1 4 &lt; −3 4 ? Use the number line to explain your answer.
    5·1 answer
  • Which of the following is a solution to the equation 16 = 4x -4 <br><br> -5<br> -4<br> 5<br> 16
    12·1 answer
  • If a coin is flipped and then a twenty part spinner is spun how many possible outcomes are in the sample space for the compound
    7·1 answer
  • Use the equation to find the length of the missing leg measure. a squared + 16 squared = 20 squared 1. Evaluate powers: a square
    10·2 answers
  • How do you write half of a number decreased by 17
    9·1 answer
  • What is the length of the hypotenuse? ​
    11·1 answer
  • Show A and Show B are two of the most popular television shows of all time. The number of episodes of each show are consecutive
    5·1 answer
  • I really need to start paying attention in class
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!