Answer:
Step-by-step explanation:
The following information is missing in the given question:
Using this we may solve the question as:
We are given the following in the question:
We have to find the number c such that f(x) satisfies the Mean value theorem.
Mean Value theorem:
It states that if the function is differentiable in the closed interval [a,b], differentiable in the interval (a,b), then there exist c in (a,b) such that:
Now,
Continuity in [0,9]
Since a polynomial function is continuous everywhere, f(x) is continuous in [0,9]
Differentiability in (0,9)
Since a polynomial function is differentiable everywhere the given function is differentiable in interval (0,9)
Then, by mean value theorem:
Answer:
6952.75
Step-by-step explanation:
278.11 x 25 =
6952.75
Hope that helps!
Answer:
cos
Step-by-step explanation:
its adjacent over hypotenuse
7 centimeters is a possible length for the third side ⇒ B
Step-by-step explanation:
Let us revise the triangle Inequality Theorem
- The sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side
- To prove that by easy way add the smallest two sides, if their sum greater than the third side,then the sides can form a triangle
Assume that the length of the third side is x cm
∵ The length of two sides are 7 cm and 10 cm
∵ The length of the third side is x cm
- Put the sum of x and 7 greater than 10 ( x and 7 are the smallest sides)
∴ x + 7 > 10
- Subtract 7 from both sides
∴ x > 3
- Put the sum of 7 and 10 greater than x (7 and 10 are the smallest sides)
∵ 7 + 10 > x
∴ 17 > x
∴ x < 17
- By using one inequality for x (combined the two inequalities in one)
∴ 3 < x < 17
That means the length of the third side is any number between 3 and 17
There is only one answer between 3 and 17
∵ 7 is between 3 and 17
∴ The length of the third side could be 7 cm
7 centimeters is a possible length for the third side
Learn more:
You can learn more about triangles in brainly.com/question/4599754
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