Twice a number is equal to negative four. Which equation could be used to find the number?
2 answers:
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Answer:
0.1 cents per ounce
Step-by-step explanation:
You know that you paid 88 cents for the whole bottle of ketchup and the whole body contains 9oz of ketchup. Every one ounce is equal to 9.8 cents. You simply need to divide the total amount of the item by the weight (9 ounces) to get 0.09 or 0.1 when rounded.
The answer is: " f ⁻¹(x) = 
+ 5 " .
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Explanation:
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Given the function: " f(x) = 2x <span>− 10 " ; Find the "inverse function" .
Let "f(x)" be represented by "y" ; and rewrite:
y = 2x </span><span>− 10 ;
Change the "y" to an "x" ; and change to "x" to a "y" ; as follows:
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x = 2y </span><span>− 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:
___________________________________________________
" x = 2y </span><span>− 10 " ;
Add "10" to each side of the equation; as follows:
x + 10 = 2y </span><span>− 10 + 10 ;
to get:
x + 10 = 2y ;
</span>↔ 2y = x + 10 ;
<span>
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" ;
</span>→ 2y / 2 = (x + 10) / 2 ;
<span>
to get:
</span>→ y = (x/2) + (10/2) ;
→ y = (x/2) + 5 ;
<span>
Now, rewrite the equation, by substituting: " f </span>⁻¹(x) " ; in place of the "y" ; to indicate that this function is an "inverse function; as follows:
→ " f ⁻¹(x) = + 5 " .
______________________________________________________
The answer is: " f ⁻¹(x) = + 5 " .
_______________________________________________________
____________________________________________________
Explanation:
____________________________________________________
Given the function: " f(x) = 2x <span>− 10 " ; Find the "inverse function" .
Let "f(x)" be represented by "y" ; and rewrite:
y = 2x </span><span>− 10 ;
Change the "y" to an "x" ; and change to "x" to a "y" ; as follows:
___________________________________________________
x = 2y </span><span>− 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;
___________________________________________________
We have:
___________________________________________________
" x = 2y </span><span>− 10 " ;
Add "10" to each side of the equation; as follows:
x + 10 = 2y </span><span>− 10 + 10 ;
to get:
x + 10 = 2y ;
</span>↔ 2y = x + 10 ;
<span>
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" ;
</span>→ 2y / 2 = (x + 10) / 2 ;
<span>
to get:
</span>→ y = (x/2) + (10/2) ;
→ y = (x/2) + 5 ;
<span>
Now, rewrite the equation, by substituting: " f </span>⁻¹(x) " ; in place of the "y" ; to indicate that this function is an "inverse function; as follows:
→ " f ⁻¹(x) =
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The answer is: " f ⁻¹(x) =
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