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BaLLatris [955]
3 years ago
13

A pool company is trying out several new drains. Drai n A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rat

e of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty t he pool. Then solve each equation showing your work.
Mathematics
1 answer:
shtirl [24]3 years ago
8 0
108 ÷ 2 = 54 minutes
108 ÷ 5 = 21.6 minutes
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You are given a line that has a slope of 4 and passed through the point (3/8, 1/2). Which statements about the question of the l
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Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

<u>Statement 1: The y-intercept is -1</u>

<em>Point (3/8, 1/2)</em>

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<em>y = mx + c</em>

<em>1/2 = 4(3/8) + c</em>

<em>1/2 = 3/2 + c</em>

<em>1/2 = 3/2 + 2c/2</em>

<em>-2 = 2c</em>

<em>c = -1 </em>

This statement is true as the y-intercept is -1.

<u>Statement 2: The slope intercept equation is y= 4x - 1</u>

<em>slope = m = 4</em>

<em>y-intercept = c = -1</em>

<em>y = mx + c</em>

<em>y = 4x - 1</em>

This statement is true as the slope intercept equation is y= 4x -1

<u>Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)</u>

<em>Point slope equation: y - y1 = m (x - x1)</em>

<em>Points: (x, y) (3/8, 1/2)</em>

<em>y1 = 1/2</em>

<em>x1 = 3/8</em>

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<em>y - 1/2 = 4 (x - 3/8)</em>

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

<u>Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation</u>

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

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order the exponents from largest to smallest. variables always come first; therefore, -5x before 9

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