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3 years ago

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Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational. (2 points)

1 answer:

vladimir2022 [97]3 years ago

3 0

Answer:

A. 9.6

B. √92

Step-by-step explanation:

<h3>A.</h3>

Rational: 9.6. It is rational because it is a terminating decimal number.

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<h3>B.</h3>

Irrational: √92 ≈ 9.59166.... It is irrational because it is the square root of an integer that is not a perfect square. All such square roots are irrational.

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<em>Additional comment</em>

In general, the n-th root of an integer that is not a perfect n-th power will be irrational. For example, ∛885 ≈ 9.600954766... is irrational, because 885 is not a perfect cube. (9³=729, 10³=1000)

Trig functions of (non-zero) rational angles in radians will be irrational. For example, tan(1.467) ≈ 9.5996286... is irrational.

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All the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The function given in the problem is,

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If f(1) = 0

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Thus, (x-1) is one of the factor of polynomial. Equate the polynomial equal to the zero, to find other roots as,'

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