Which ordered pairs in the form (x, y) are solutions to the equation 4x−5y=24

Select each correct answer.

(1, −4)

(4, 8)

(6, 0)

(−9, −12)

Step-by-step explanation:

Substitute the given points (x, y )

For (x= 1, y= -4)

     4x−5y = 24

4*1 −5* -4 = 24

    4 + 20 = 24

          24 = 24 ✅

For (x= 4, y= 8)

     4x−5y = 24

 4*4 −5*8 = 24

     16 -40 = 24

         -24 = 24 ❌

For (x= 6, y= 0)

     4x−5y = 24

4*6 −5* 0 = 24

       24 -0 = 24

          24 = 24 ✅

For (x= -9, y= -12)

       4x−5y = 24

4*-9 −5*-12 = 24

    -36 + 60 = 24

              24 = 24 ✅

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2