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defon
3 years ago
15

A graph is shown below: A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9

, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0.
These points are connected by a line.
What is the equation of the line in slope-intercept form?
A. y = 36x − 3
B. y = −3x + 36
C. y = −3x + 12
D. y = −12x + 3
Mathematics
1 answer:
Travka [436]3 years ago
7 0
(0, 36) would be the point on the y axis, so 36 is the y-intercept, or the b value in the equation, y = mx + b.
(12,0) is the x-intercept, so we know the line has a negative slope.
The equation for these points would be:
y = -3x + 36
LETTER B
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Simplify.<br> √20⋅√3·√18<br><br> 5√30<br><br> 5√10<br><br> 6√10<br><br> 6√30
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The correct answer is:   [D]:  " 6√30 " .


_____________________________________


Explanation:


_____________________________________


Simplify:   " √20 ⋅ √3 · √18 " :


___________________________


Step 1)  Simplify the "first term" :

"√20  " = √4 √5 = 2√5  ;


___________________________


Step 2):  Consider the "second term:  

                  "√3 " = √3  (already simplified); 


___________________________


Step 3)  Simplifly the "third term" :

" √18  "  =  √9 * √2 =  " 3√2 " ;


____________________________

We have:  " 2√5 * √3 * 3√2 " ;

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                 =  6 * (√5 √3 √2)  ;

Note:  " (√5 * √3 * √2 )"  =   " √(5 * 3 * 2) "  =  " √ 30 " .

So:    " 6 * (√5 * √3 * √2)  =

______________________________________

          →   " 6 √30 " .

______________________________________

The answer is:  " 6√30 " ;

       →  which is:  "Answer choice:  [D]:  " 6√30 " .

_____________________________________

Hope this answer helps!

Best wishes!

_____________________________________

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