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EleoNora [17]
2 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]2 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]2 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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A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.
slega [8]

Answer:

9/20

Step-by-step explanation:

Total trials = 80

Observed successful trials = 36

36/80

= 9/20

3 0
3 years ago
Which ordered pair is a solution of the equation 4x-2y=16?
Lisa [10]

Substitute the coordinates of points to the equation.

4x-2y=16

A.\ (-5,\ -3)\\\\4(-5)-2(-3)=16\\-20+6=16\\-14=16\ \ \ FALSE\\\\B.\ (-5,\ 3)\\\\4(-5)-2(3)=16\\-20-6=16\\-26=16\ \ \ FALSE\\\\C.\ (6,\ -4)\\\\4(6)-2(-4)=16\\24+8=16\\32=16\ \ \ \ FALSE\\\\D.\ (6,\ 4)\\\\4(6)-2(4)=16\\24-8=16\\16=16\ \ \ \ CORRECT\\\\Answer:\ \boxed{D.\ (6,\ 4)}

5 0
2 years ago
What is the answer to this question?
melisa1 [442]

Answer: I think it is negative.


Step-by-step explanation: When you add a negative to a negative you still have a negative.


7 0
3 years ago
QUESTION 2
gregori [183]

Answer:

Step-by-step explanation:

ppleasepplease share the answers when got them

3 0
2 years ago
Does anyone understand this
Nataliya [291]

For this problem, 0.25 in = 50 m. So

11 in = (11 in) • (50/0.25 m/in) = 2200 m

Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.

3 0
3 years ago
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