Which of the table in the image below represents a function?

table C

Step-by-step explanation:

function

* one object/ input must only have one image/ output

* only one-to-one relation and many-to-one relation is a fuction

table A

= one-to-many relation

= input 8 has two outputs ( -9 and -8 )

= not a function ❌

table B

= one-to-many relation

= input 7 has two outputs ( 12 and 13 )

= not a function ❌

table C

= one-to-one relation

= all input has only one output

= a fuction ✅

table D

= one-to-many relation

= input 10 has two outputs ( 0 and 4 )

= not a function ❌

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

step-by-step explanation:

the answer is 128