Find the solution set for the open sentence with the given replacement set. a. 0 b. 2 c. 4 d. 6

We need to solve the equation: w² + 36 = 12w

⇒ w² - 12w + 36 = 0

⇒ w² - 6w - 6w + 36 = 0 (Breaking 6w such that their product is 9w²)

⇒ w × (w - 6) - 6 × (w - 6) = 0 (Extracting common factors)

⇒ (w - 6) × (w - 6) = 0

⇒ (w - 6)² = 0

⇒ w = 6

Hence, the correct answer is 6 which is the fourth option from the replacement set

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.