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Dahasolnce [82]
2 years ago
6

A pump fills a pool at a constant rate. At the end of 2 minutes it has filled 1 gallon of water. Which table represents the rela

tionship between the number of minutes and the number of gallons of water in the pool?
Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
7 0

Answer: D

Step-by-step explanation: The rate at which the pool is filled is 1 gallon per 9 minutes. If you divide all the numbers of minutes in the left side of the table with the number of gallons on the right you get 9 minutes per gallon for each of them so they follow the rate.

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Answer:

n/2 - 3 = 10 represents this situation

Step-by-step explanation:

Let the number be n.  Then:

n/2 - 3 = 10 represents this situation.

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Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be \mathbf{ax^{2}+bx+c=0} where x is the variable.

Completing the square method is as follows:

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  3. add \mathbf{(\frac{b}{2a})^{2}} to both side of equality                                   \mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}
  4. Make one fraction on the right side and compress the expression on the left side                                                                          \mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}
  5. rearrange the terms will give the vertex form of standard quadratic equation                                                                 \mathbf{a(x+\frac{b}{2a})^{2}-\frac{b^{2}-4ac}{4a}=0}

Follow the above procedure will give the vertex form.

(NOTE : you must know that \mathbf{(x+a)^{2}=x^{2}+2ax+a^{2}}. Use this equation in transforming the equation from step 3 to step 4)

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I hope helped ^-^

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