Consider the tables. Which table shows input and output values that
represent a quadratic function?
Table A
x
fx)
-10
8
-8
4
-6
0
4
4
2
48
O Table A
O Table B
Table B
X
fx)
46
--10
-1,002
8
-514
4
-66
-218
Table C
O Table D
-2
410
Table C
-10
1,002
8
802
46
602
4
402
12
202
fix)
Table D
X
f(x)
-10
-112
-8
--76
-6
1148
4
28
2
16
Next
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Mark this and retum

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

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the one below it is a function