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alukav5142 [94]
2 years ago
15

A pump moves 42 gallons in seven minutes find the unit rate

Mathematics
2 answers:
Ostrovityanka [42]2 years ago
8 0
The pump moves 6 gallons per minute. Hope this is what you wanted.
SashulF [63]2 years ago
3 0
We know that 42 gallons are produced in 7 minutes, so to find the number of gallons produced in a minute, divide 42 by 7 to get 6. So, we know that 6 gallons are produced per minute: 6 gallons/minute.

Hope this helps! :)
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Which equation could represent the relationship shown in the scatter plot?
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Alex787 [66]

Answer:

  • Parent Function:  y=\sqrt{x}
  • Horizontal shift: right 3 units
  • Vertical shift: up 3 units
  • Reflection about the x-axis: none
  • Vertical strech: streched

Step-by-step explanation:

assume that y=\sqrt{x} is f(x)=\sqrt{x} and y=\sqrt{-2x+6}+3 is

g(x)=\sqrt{-2x+6}+3\\ f(x)=\sqrt{x} \\g(x)=\sqrt{-2x+6}+3

The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.

y=a\sqrt{x-h}+k

factor a 1 out of the absolute value to make the coefficient of x equal to 1

y=\sqrt{x}

factor a 2 out of the absolute value to make the coefficient of x equal to 1

y=\sqrt{2}\sqrt{x-3}+3

find a, h and k for y=\sqrt{2}\sqrt{x-3}+3

a=1.41421356\\ h=3\\k=3

the horizontal shift depends on the value of h when h > 0, the horizontal shift is described as:

g(x)=f(x+h) - the graph is shifted to the left h units

g(x)=f(x-h)\\ - the graph is shifted to the right h units

the vertical shift depends on the value of k

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Step-by-step explanation:

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Answer:

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