Answer:
Step-by-step explanation:
<u>Vertex form of a quadratic equation</u>:
where:
- (h, k) is the vertex
- a is some constant
<u>Given vertex</u>: (2, -6)
⇒ h = 2 and k = -6
Substitute the values of h and k into the formula:
As we have not been given a value for the constant 
, assume this is 1.
Therefore, the <u>vertex form</u> of the <u>quadratic function</u> with vertex (2, -6) is:
Learn more about vertex form here:
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15:10. (part to part)
15:25 (part to whole)
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Answer: In 20 minutes, tanks A and B will each have 120 gallons remaining in them.
Step-by-step explanation:
The equation, the amount at which they will be equal, represents the given starting amounts minus the gal/min times the unknown time in minutes, m.
220 - 5m = 180 - 3m Subtract 180 from both sides; add 5m to both sides.
220-180 -5m +5m = 180-180 +5m - 3m Combine like terms
40 = 2m Divide both sides by 2
20 = m
Check: Substitute 20 for m in the equation
220 - 5(20) = 180 - 3(20)
220 - 100 = 180 -60
120 = 120 True!
