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Mathematics

1 answer:

Xelga [282]3 years ago

7 0

Answer:

30(x+1)/(x+7)

Step-by-step explanation:

This is not a rational expression because denominator has a domain of which it can be undefined.

To rationalize multiply by the reciprocal of the denominator (1/6+1/x+1)

___5___ *(6)(x+1) --> _____30(x+1)_____ --> 30x+1_ --> 30x+1

1/6+1/x+1 *(6)(x+1)--> 6(x+1)/6 + 6(x+1)/(x+1) --> (x+1)+6 --> x+7

Final Answer: 30(x+1)/(x+7)

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How much more is 8x10^9 than 2x10^3? example: Answer is 1x10^2

swat32

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2x10 to the power of 3 = 2000

And I don’t know understand why you put 1x10 to the power of 2

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Step-by-step explanation: Is this kind of answer you want hope this help

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Romashka [77]

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What’s the inverse of the function f(x) = 2x - 10

erastovalidia [21]

The answer is: " f ⁻¹(x) = $\frac{x}{2}$ + 5 " .
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Explanation:
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Given the function: " f(x) = 2x − 10 " ; Find the "inverse function" .

Let "f(x)" be represented by "y" ; and rewrite:

y = 2x − 10 ;

Change the "y" to an "x" ; and change to "x" to a "y" ; as follows:
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x = 2y − 10 ;

Now, rewrite this equation, in "slope-intercept form"; that is; "y = mx + b" ;

To do this, start by solving THIS equation for "y"; in terms of "x" ; with "y" as an "isolated variable" on the "left-hand side" of the equation;
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We have:
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" x = 2y − 10 " ;

Add "10" to each side of the equation; as follows:

x + 10 = 2y − 10 + 10 ;

to get:

x + 10 = 2y ;

↔ 2y = x + 10 ;

Now, divide each side of the equation by "2" ;
to isolate "y" on one side of the equation (as a single variable);
& to solve for "y" ;

→ 2y / 2 = (x + 10) / 2 ;

to get:

→ y = (x/2) + (10/2) ;

→ y = (x/2) + 5 ;

Now, rewrite the equation, by substituting: " f ⁻¹(x) " ; in place of the "y" ; to indicate that this function is an "inverse function; as follows:

→ " f ⁻¹(x) = $\frac{x}{2}$ + 5 " .
______________________________________________________

The answer is: " f ⁻¹(x) = $\frac{x}{2}$ + 5 " .
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8 0

3 years ago

Read 2 more answers

The following proportions were written on the board by Ms. Warren.

Elenna [48]

Answer:

see explanation

Step-by-step explanation:

given

$\frac{3.6}{5.7}$ = $\frac{f}{9.5}$ ( cross- multiply )