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3 years ago

Need help answering this question for 30 points. ! :)

Mathematics

1 answer:

LiRa [457]3 years ago

5 0

Answer:

g(- 1) = -2

Step-by-step explanation:

Given the rational function, $g(x) = - \frac{21 + x}{10}$ :

In order to evaluate and find the value of g(-1), simply substitute the input value into the given function.

$g(x) = - \frac{21 + x}{10}$

$g(-1) = - \frac{21 - 1}{10}$

$g(-1) = - \frac{20}{10}$

g(-1) = -2

Therefore, the output value when g(- 1) is: g(- 1) = -2.

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The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original

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<u>Answer:</u>

The denominator of a fraction is 4 more than the numerator. The original fraction is $\frac{27}{31}$

<u>Solution:</u>

Given that

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is $\frac{6}{7}$

$=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}$

Solving above equation for x

=> 7(x – 3 ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

$\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}$

$= \frac{27}{31}$

Hence the original fraction is $\frac{27}{31}$

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The area of a circle varies directly as the square of its radius. A circle with radius 2 in. Has area 12.568 in.^2 . What is the

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Answer:

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Step-by-step explanation:

The area of a circle varies directly as the square of its radius.

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ATQ,

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