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Neko [114]
3 years ago
11

How do I put these equations into vertex form?

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0
I found my notes for this exact paper and I have that first problem written. hopefully this helps

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Solve each inequality: 14-6n<2(7-3n)
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Answer:

14 - 6n < 2(7 - 3n)

No Solution

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3 years ago
Write the slope-intercept form of the equation of the line perpendicular to the graph of y=-3/2x-7 that passes through (3,-2)
ozzi
Graph of y = -3/2x - 7 has a slope of -3/2.
For perpendicular lines the product of the slopes is -1.
m1m2 = -1
-3/2m2 = -1
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The required equation,
y - (-2) = 2/3(x - 3)
y + 2 = 2/3x - 2
y = 2/3x - 4
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Kerry is comparing the fuel efficiency of two cars, Car A and Car B. Car A lists gas mileage as 32.4 miles per gallon for highwa
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Help!! timed! find the domain and range pls!​
BARSIC [14]

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5 0
3 years ago
What’s the inverse of the function f(x) = 2x - 10
erastovalidia [21]
The answer is:  " f ⁻¹(x)  = \frac{x}{2}  + 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)  = \frac{x}{2}  + 5 " . 
______________________________________________________

The answer is:  " f ⁻¹(x)  = \frac{x}{2}  + 5 " . 
_______________________________________________________
8 0
3 years ago
Read 2 more answers
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