What are the solutions to 16x^2-12x=54? select all the apply.

-3/2 or 9/4

Step-by-step explanation:

16x^2 - 12x = 54

Now, we take 54 to the left side. It leads the right side to become "0". As 54 is a positive, it will negative as we change the side.

16x^2 - 12x - 54 = 0

Dividing both the sides by 2, we get,

8x^2 - 6x - 27 = 0

Now, we use factorization method,

8x^2 + 12x - 18x - 27 = 0

or, 4x (2x + 3) - 9 (2x + 3) = 0

or, (2x + 3) (4x - 9) = 0

Now, 2x + 3 = 0; or, 4x - 9 = 0

2x = - 3; or, 4x = 9 (changing the sides)

or, x = - (3÷2); or, x = (9÷4)

Therefore, the solution set for x is either - 3/2 or 9/4

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.