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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.

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Answer:

Step-by-step explanation:

The figure is a combination of a triangle and a rectangle

Area of rectangle = bh = 15(5) = 75

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7 0
2 years ago
A coin is tossed times and comes up heads times. Use the Empirical Method to approximate the probability that the coin comes up
Vedmedyk [2.9K]

Answer:

P(head) = 0.5600

Step-by-step explanation:

Given

n = 500 -- number of toss

head = 280 --- outcomes of head

<em>See comment</em>

Required

Empirical probability of head

This is calculated as:

P(head) = \frac{n(head)}{n}

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6 0
3 years ago
PLEASE I NEED HELP ASAP
zysi [14]

Answer:

option C is the correct ans..

Step-by-step explanation:

A function f from A to B is a relation from A to B which assosciates each element of A to a unique element of B..

Option C fulfills all the case.So,C is the correct ans..

8 0
3 years ago
What is the value of x? <br> (x + 40)° (3x)°<br><br> A. 20<br> B.35 <br> C. 60<br> D. 70
Olenka [21]
Hello!

We are given the equation below.

x+40=3x

We want to get all of the variables on side. First of all let's subtract 40 from both sides.

x=3x-40

Now we rearrange our equation so the commutative property will work.

x=3x+(-40)
x=-40+3x

Now we subtract 3x from both sides.

-2x=-40

We divide both sides by -2.

x=20

Our answer is A) 20.

I hope this helps!
4 0
3 years ago
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2 years ago
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