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cricket20 [7]
3 years ago
10

Solve the equation, write the one solution, No solution and Infinitely Many Solution.

Mathematics
1 answer:
krok68 [10]3 years ago
4 0

Answer:

x=−4

Step-by-step explanation:

Rearrange terms

20−2=−7

−2+20=−7

Subtract 20 from both sides of the equation

−2+20=−7

−2+20−20=−7−20

Subtract the numbers

−2=−7−20

Add 7 to both sides of the equation

−2=−7−20

−2+7=−7−20+7

Simplify

5=−20

Divide both sides of the equation by the same term

5x=-20

5x/5=-20/5

Simplify

x=-4

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Answer:

This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3

Step-by-step explanation:

The given function is

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When we differentiate this function with respect to x, we get;

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We want to find all values of c in (1,7) such that f(7) − f(1) = f '(c)(7 − 1)

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If this function satisfies the Mean Value Theorem, then f must be continuous on  [1,7] and differentiable on (1,7).

But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.

 

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